<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>34</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Eberhard, Sebastian</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Applicative theories for logarithmic complexity classes</style></title></titles><dates><year><style  face="normal" font="default" size="100%">Submitted</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/ebe12b.pdf</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">Submitted</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>34</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Eberhard, Sebastian</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A feasible theory of truth over combinatory logic</style></title></titles><dates><year><style  face="normal" font="default" size="100%">Submitted</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/ebe12a.pdf</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">Submitted</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>34</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Sato, Kentaro</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Full and Hat Inductive Definitions Are Equivalent in NBG</style></title></titles><dates><year><style  face="normal" font="default" size="100%">Submitted</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2013/sat13.pdf</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">Submitted</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>34</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Sato, Kentaro</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Relative Predicativity and Dependent Recursion in Second-order Set Theory and Higher-order Theories</style></title></titles><dates><year><style  face="normal" font="default" size="100%">Submitted</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/sat12.pdf</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">Submitted</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">McKinley, Richard</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Canonical proof nets for classical logic</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic (Special Issue: Classical Logic and Computation)</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">In Press</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/mck12a.pdf</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Samuel Bucheli</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Decidability for Justification Logics Revisited</style></title><secondary-title><style face="normal" font="default" size="100%">Selected papers of Ninth International Tbilisi Symposium on Language, Logic and Computation</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">In Press</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/bks12b.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Lecture Notes in Artificial Intelligence</style></publisher><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">In Press</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Operational closure and stability</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">In Press</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2013/jae13.pdf</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">To appear</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">McKinley, Richard</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Proof nets for Herbrand's Theorem</style></title><secondary-title><style face="normal" font="default" size="100%">ACM Transactions on Computational Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">In Press</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/mck12b.pdf</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Samuel Bucheli</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Realizing Public Announcements by Justifications</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Computer and System Sciences</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">In Press</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/bks12a.pdf</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">In Press</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Eberhard, Sebastian</style></author><author><style face="normal" font="default" size="100%">Thomas Strahm</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Achourioti, T.</style></author><author><style face="normal" font="default" size="100%">Galinon, H.</style></author><author><style face="normal" font="default" size="100%">Fujimoto, K.</style></author><author><style face="normal" font="default" size="100%">Mart\'ınez-Fernández, J.</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Unfolding feasible arithmetic and weak truth</style></title><secondary-title><style face="normal" font="default" size="100%">Axiomatic Theories of Truth</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Logic, Epistemology and the Unity of Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">In Press</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/tilpub/2012/es12b.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">To appear</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A Universal Approach to Guarantee Data Privacy</style></title><secondary-title><style face="normal" font="default" size="100%">Logica Universalis</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">In Press</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/stu12b.pdf</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">To appear</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>5</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Samuel Bucheli</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Guram Bezhanishvili</style></author><author><style face="normal" font="default" size="100%">Sebastian Löbner</style></author><author><style face="normal" font="default" size="100%">Vincenzo Marra</style></author><author><style face="normal" font="default" size="100%">Frank Richter</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Decidability for Justification Logics Revisited</style></title><secondary-title><style face="normal" font="default" size="100%">Logic, Language, and Computation, 9th International Tbilisi Symposium on Logic, Language, and Computation, TbiLLC 2011, Kutaisi, Georgia, September 26-30, 2011, Revised Selected Papers</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">decidability</style></keyword><keyword><style  face="normal" font="default" size="100%">filtration</style></keyword><keyword><style  face="normal" font="default" size="100%">justification logic</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2013</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2013/bks13.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><volume><style face="normal" font="default" size="100%">7758</style></volume><pages><style face="normal" font="default" size="100%">166–181</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Justification logics are propositional modal-like logics that instead of statements \emph{$A$ is known} include statements of the form \emph{$A$ is known for reason $t$} where the term $t$ can represent an informal justification for $A$ or a formal proof of $A$. In our present work, we introduce model-theoretic tools, namely: filtrations and a certain form of generated submodels, in the context of justification logic in order to obtain decidability results. Apart from reproving already known results in a uniform way, we also prove new results. In particular, we use our submodel construction to establish decidability for a justification logic with common knowledge for which so far no decidability proof was available.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>5</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Sergei Artemov</style></author><author><style face="normal" font="default" size="100%">Nerode, Anil</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Update as Evidence: Belief Expansion</style></title><secondary-title><style face="normal" font="default" size="100%">Logical Foundations of Computer Science, International Symposium, LFCS 2013, San Diego, CA, USA, January 6–8, 2013, Proceedings</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Computer Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2013</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2013/ks13.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><volume><style face="normal" font="default" size="100%">7734</style></volume><pages><style face="normal" font="default" size="100%">266–279</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">We introduce a justification logic with a novel constructor for evidence terms, according to which the new information itself serves as evidence for believing it. We provide a sound and complete axiomatization for belief expansion and minimal change and explain how the minimality can be graded according to the strength of reasoning. We also provide an evidential analog of the Ramsey axiom.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author><author><style face="normal" font="default" size="100%">Zumbrunnen, Rico</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Ulrich Berger</style></author><author><style face="normal" font="default" size="100%">Hannes Diener</style></author><author><style face="normal" font="default" size="100%">Peter Schuster</style></author><author><style face="normal" font="default" size="100%">Monika Seisenberger</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">About the Strength of Operational Regularity</style></title><secondary-title><style face="normal" font="default" size="100%">Logic, Construction, Computation</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/jz12.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Ontos Verlag</style></publisher><pages><style face="normal" font="default" size="100%">305–324</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Grigori Mints</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Cut-elimination for the mu-calculus with one variable</style></title><secondary-title><style face="normal" font="default" size="100%">Fixed Points in Computer Science 2012</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">EPTCS</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/ms12.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Open Publishing Association</style></publisher><volume><style face="normal" font="default" size="100%">77</style></volume><pages><style face="normal" font="default" size="100%">47–54</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kohler, Roger Peter</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Java-Programm zur interaktiven Bearbeitung von JALC-Herleitungen</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/koh12.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">Bachelor's Thesis</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Samuel Bucheli</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Justification Logics with Common Knowledge</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/buc12.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">phd</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Thomas Bolander</style></author><author><style face="normal" font="default" size="100%">Torben Braüner</style></author><author><style face="normal" font="default" size="100%">Silvio Ghilardi</style></author><author><style face="normal" font="default" size="100%">Lawrence Moss</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Justifications, Ontology, and Conservativity</style></title><secondary-title><style face="normal" font="default" size="100%">Advances in Modal Logic, volume 9</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/ks12.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">College Publications</style></publisher><pages><style face="normal" font="default" size="100%">437–458</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">E. Clarke</style></author><author><style face="normal" font="default" size="100%">I. Virbitskaite</style></author><author><style face="normal" font="default" size="100%">Voronkov, A.</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Justified Terminological Reasoning</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of Perspectives of System Informatics PSI'11</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Computer Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/stu12.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><volume><style face="normal" font="default" size="100%">7162</style></volume><pages><style face="normal" font="default" size="100%">349-361</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Buss, Samuel R.</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Lower complexity bounds in justification logic</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Logic of Proofs</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.math.ucsd.edu/~sbuss/ResearchWeb/rlp_lower/APAL09_final.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">163</style></volume><pages><style face="normal" font="default" size="100%">888–905</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Justification Logic studies epistemic and provability phenomena by introducing justifications/proofs into the language in the form of justification terms. Pure justification logics serve as counterparts of traditional modal epistemic logics, and hybrid logics combine epistemic modalities with justification terms. The computational complexity of pure justification logics is typically lower than that of the corresponding modal logics. Moreover, the so-called reflected fragments, which still contain complete information about the respective justification logics, are known to be in NP for a wide range of justification logics, pure and hybrid alike. This paper shows that, under reasonable additional restrictions, these reflected fragments are NP-complete, thereby proving a matching lower bound. The proof method is then extended to provide a uniform proof that the corresponding full pure justification logics are $\Pi^p_2$-hard, reproving and generalizing an earlier result by Milnikel.</style></abstract><notes><style face="normal" font="default" size="100%">Published online November 2011</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Yury Savateev</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Product-free Lambek calculus is NP-complete</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/sav12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">163</style></volume><pages><style face="normal" font="default" size="100%">775–788</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">The Symposium on Logical Foundations of Computer Science 2009</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Remo Goetschi</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the Realization and Classification of Justification Logics</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/goe12.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">phdphd</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Remo Goetschi</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Realization for Justification Logics via Nested Sequents: Modularity through Embedding</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year><pub-dates><date><style  face="normal" font="default" size="100%">September</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/gk12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">163</style></volume><pages><style face="normal" font="default" size="100%">1271–1298</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kai Brünnler</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Syntactic cut-elimination for a fragment of the modal mu-calculus</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/bs12.pdf</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">12</style></number><volume><style face="normal" font="default" size="100%">163</style></volume><pages><style face="normal" font="default" size="100%">1838–1853</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Eberhard, Sebastian</style></author><author><style face="normal" font="default" size="100%">Thomas Strahm</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Ulrich Berger</style></author><author><style face="normal" font="default" size="100%">Hannes Diener</style></author><author><style face="normal" font="default" size="100%">Peter Schuster</style></author><author><style face="normal" font="default" size="100%">Monika Seisenberger</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Weak theories of truth and explicit mathematics</style></title><secondary-title><style face="normal" font="default" size="100%">Logic, Construction, Computation</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2012/es12a.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Ontos Verlag</style></publisher><pages><style face="normal" font="default" size="100%">157–184</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Dieter Probst</style></author><author><style face="normal" font="default" size="100%">Thomas Strahm</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Admissible closures of polynomial time computable arithmetic</style></title><secondary-title><style face="normal" font="default" size="100%">Archive for Mathematical Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/ps11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">50</style></volume><pages><style face="normal" font="default" size="100%">643-660</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">5-6</style></issue><notes><style face="normal" font="default" size="100%">Submitted, 2010</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">An application of justification logic to protocol verification</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of Computational Intelligence and Security CIS 2011</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/stu11b.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">IEEE</style></publisher><pages><style face="normal" font="default" size="100%">779{–}783</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Daniel Fabian</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Applicative theories on tree ordinal numbers</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/fab11.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">masters</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A Buchholz rule for modal fixed point logics</style></title><secondary-title><style face="normal" font="default" size="100%">Logica Universalis</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/js11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">5</style></volume><pages><style face="normal" font="default" size="100%">1-19</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">1</style></issue><notes><style face="normal" font="default" size="100%">To appear, 2010</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Justification Logic, Inference Tracking, and Data Privacy</style></title><secondary-title><style face="normal" font="default" size="100%">Logic and Logical Philosophy</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/stu11a.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">297-306</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Samuel Bucheli</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Valentin Goranko</style></author><author><style face="normal" font="default" size="100%">Wojtek Jamroga</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Justifications for Common Knowledge</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Applied Non-classical Logics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/bks11a.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">35-60</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">1</style></issue><notes><style face="normal" font="default" size="100%">To appear, 2011</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Samuel Bucheli</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Lev Beklemishev</style></author><author><style face="normal" font="default" size="100%">de Queiroz, Ruy</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Partial Realization in Dynamic Justification Logic</style></title><secondary-title><style face="normal" font="default" size="100%">Logic, Language, Information and Computation, 18th International Workshop, WoLLIC 2011, Philadelphia, PA, USA, May 18-20, 2011, Proceedings</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Artificial Intelligence</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/bks11b.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6642</style></volume><pages><style face="normal" font="default" size="100%">35-51</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Dieter Probst</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The provably terminating operations of the subsystem PETJ of explicit mathematics</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/pro11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">162</style></volume><pages><style face="normal" font="default" size="100%">934-947</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">11</style></issue><notes><style face="normal" font="default" size="100%">Submitted, 2010</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Spescha, Daria</style></author><author><style face="normal" font="default" size="100%">Thomas Strahm</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Realizability in weak systems of explicit mathematics</style></title><secondary-title><style face="normal" font="default" size="100%">Mathematical Logic Quarterly</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/ss11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">57</style></volume><pages><style face="normal" font="default" size="100%">551-565</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">6</style></issue><notes><style face="normal" font="default" size="100%">To appear, 2010</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Krähenbühl, Jürg</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the Relationship between Choice Schemes and Iterated Class Comprehension in Set Theory</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/kra11.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">phd</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author><author><style face="normal" font="default" size="100%">Dieter Probst</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The Suslin operator in applicative theories: its proof-theoretic analysis via ordinal theories</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied logic</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Suslin operator in applicative theories</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2011/jp11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">162</style></volume><pages><style face="normal" font="default" size="100%">647-660</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><issue><style face="normal" font="default" size="100%">8</style></issue></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Wehbe, Ricardo</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Annotated Systems for Common Knowledge</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/weh10.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">phd</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">McKinley, Richard</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Fermüller, Christian</style></author><author><style face="normal" font="default" size="100%">Andrei Voronkov</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Expansion nets: Proof nets for for propositional classical logic</style></title><secondary-title><style face="normal" font="default" size="100%">Logic for Programming, Artificial Intelligence, and Reasoning (LPAR 17)</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Computer Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/mck10a.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Springer Berlin / Heidelberg</style></publisher><volume><style face="normal" font="default" size="100%">6397</style></volume><pages><style face="normal" font="default" size="100%">535-549</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">10.1007/978-3-642-16242-8_38</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Samuel Bucheli</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Explicit Evidence Systems with Common Knowledge</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">may</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://arxiv.org/abs/1005.0484</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">arXiv.org</style></publisher><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Justification logics are epistemic logics that explicitly include justifications for the agents' knowledge. We develop a multi-agent justification logic with evidence terms for individual agents as well as for common knowledge. We define a Kripke-style semantics that is similar to Fitting's semantics for the Logic of Proofs $\mathsf{LP}$. We show the soundness, completeness, and finite model property of our multi-agent justification logic with respect to this Kripke-style semantics. We demonstrate that our logic is a conservative extension of Yavorskaya's minimal bimodal explicit evidence logic, which is a two-agent version of $\mathsf{LP}$. We discuss the relationship of our logic to the multi-agent modal logic $\mathsf{S4}$ with common knowledge. Finally, we give a brief analysis of the coordinated attack problem in the newly developed language of our logic.</style></abstract><work-type><style face="normal" font="default" size="100%">E-print</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Samuel Bucheli</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author><author><style face="normal" font="default" size="100%">Renne, Bryan</style></author><author><style face="normal" font="default" size="100%">Sack, Joshua</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Arrazola, Xabier</style></author><author><style face="normal" font="default" size="100%">Ponte, Mar\'ıa</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Justified Belief Change</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of the {S}econd {ILCLI} {I}nternational {W}orkshop on {L}ogic and {P}hilosphy of {K}nowledge, {C}ommunication and {A}ction ({L}og{KCA}-10)</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/bkrss10.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">University of the Basque Country Press</style></publisher><pages><style face="normal" font="default" size="100%">135–155</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Justification Logic is a framework for reasoning about evidence and justification. Public Announcement Logic is a framework for reasoning about belief changes caused by public announcements. This paper develops JPAL, a dynamic justification logic of public announcements that corresponds to the modal theory of public announcements due to Gerbrandy and Groeneveld. JPAL allows us to reason about evidence brought about by and changed by Gerbrandy–Groeneveld-style public announcements.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">J. Esparza</style></author><author><style face="normal" font="default" size="100%">B. Spanfelner</style></author><author><style face="normal" font="default" size="100%">O. Grumberg</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Modal Fixed Point Logics</style></title><secondary-title><style face="normal" font="default" size="100%">Logics and {L}anguages for {R}eliability and {S}ecurity</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">NATO Science for Peace and Security Series - D: Information and Communication Security</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/jae10.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">IOS Press</style></publisher><volume><style face="normal" font="default" size="100%">25</style></volume><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kai Brünnler</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Nested Sequents</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://arxiv.org/abs/1004.1845v1</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">Habilitationsschrift</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">A. Pnueli</style></author><author><style face="normal" font="default" size="100%">I. Virbitskaite</style></author><author><style face="normal" font="default" size="100%">Voronkov, A.</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Privacy Preserving Modules for Ontologies</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of {P}erspectives of {S}ystem {I}nformatics {PSI}'09</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Computer Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/stu10a.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">5947</style></volume><pages><style face="normal" font="default" size="100%">380{–}387</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Brugger, Jon</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Proof-theoretic aspects of weak König's Lemma</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/bru10a.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">masters</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Proof-Theoretic Contributions to Modal Fixed Point Logics</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/stu10b.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">Habilitationsschrift</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Self-Referential Justifications in Epistemic Logic</style></title><secondary-title><style face="normal" font="default" size="100%">Theory of Computing Systems</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">self-referentiality</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">may</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/kuz10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">46</style></volume><pages><style face="normal" font="default" size="100%">636–661</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">This paper is devoted to the study of self-referential proofs and/or justifications, i.e., valid proofs that prove statements about these same proofs. The goal is to investigate whether such self-referential justifications are present in the reasoning described by standard modal epistemic logics such as~$\mathsf{S4}$. We argue that the modal language by itself is too coarse to capture this concept of self-referentiality and that the language of justification logic can serve as an adequate refinement. We consider well-known modal logics of knowledge/belief and show, using explicit justifications, that~$\mathsf{S4}$, $\mathsf{D4}$, $\mathsf{K4}$, and~$\mathsf{T}$ with their respective justification counterparts~$\mathsf{LP}$, $\mathsf{JD4}$, $\mathsf{J4}$, and~$\mathsf{JT}$ describe knowledge that is self-referential in some strong sense. We also demonstrate that self-referentiality can be avoided for~$\mathsf{K}$ and~$\mathsf{D}$.    In order to prove the former result, we develop a machinery of minimal evidence functions used to effectively build models for justification logics. We observe that the calculus used to construct the minimal functions axiomatizes the reflected fragments of justification logics. We also discuss difficulties that result from an introduction of negative introspection.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Pulver, Cornelia</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Self-Referentiality in Contraction-free Fragments of Modal Logic S4</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/pul10.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">masters</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kai Brünnler</style></author><author><style face="normal" font="default" size="100%">Remo Goetschi</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Lev Beklemishev</style></author><author><style face="normal" font="default" size="100%">Valentin Goranko</style></author><author><style face="normal" font="default" size="100%">Valentin Shehtman</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">A Syntactic Realization Theorem for Justification Logics</style></title><secondary-title><style face="normal" font="default" size="100%">Advances in Modal Logic, Volume 8</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">realization theorem</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/bgk10.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">College Publications</style></publisher><pages><style face="normal" font="default" size="100%">39–58</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Justification logics are refinements of modal logics where modalities are replaced by justification terms. They are connected to modal logics via so-called realization theorems. We present a syntactic proof of a single realization theorem that uniformly connects all the normal modal logics formed from the axioms $\mathsf{d}$, $\mathsf{t}$, $\mathsf{b}$, $\mathsf{4}$, and $\mathsf{5}$ with their justification counterparts. The proof employs cut-free nested sequent systems together with Fitting's realization merging technique. We further strengthen the realization theorem for $\mathsf{KB5}$ and $\mathsf{S5}$ by showing that the positive introspection operator is superfluous.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Samuel Bucheli</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Thomas Bolander</style></author><author><style face="normal" font="default" size="100%">Torben Braüner</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Two Ways to Common Knowledge</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of the 6th Workshop on {M}ethods for {Modalities} ({M4M–6 2009}), {C}openhagen, {D}enmark, 12–14 {N}ovember 2009</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Electronic Notes in Theoretical Computer Science</style></tertiary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">proof theory</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/bks10a.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Elsevier</style></publisher><pages><style face="normal" font="default" size="100%">83–98</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">It is not clear what a system for evidence-based common knowledge should look like if common knowledge is treated as a greatest fixed point. This paper is a preliminary step towards such a system. We argue that the standard induction rule is not well suited to axiomatize evidence-based common knowledge. As an alternative, we study two different deductive systems for the logic of common knowledge. The first system makes use of an induction axiom whereas the second one is based on co-inductive proof theory. We show the soundness and completeness for both systems.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Solomon Feferman</style></author><author><style face="normal" font="default" size="100%">Thomas Strahm</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Unfolding finitist arithmetic</style></title><secondary-title><style face="normal" font="default" size="100%">Review of Symbolic Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/fs10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">3</style></volume><pages><style face="normal" font="default" size="100%">665–689</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Stolz, Manuela Claudia</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Verification of Workflow Control-Flow Patterns with the SPIN Model Checker</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">masters</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Thomas Strahm</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Ralf Schindler</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Weak theories of operations and types</style></title><secondary-title><style face="normal" font="default" size="100%">Ways of {P}roof {T}heory</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/str10.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Ontos Verlag</style></publisher><pages><style face="normal" font="default" size="100%">441–468</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author><author><style face="normal" font="default" size="100%">Krähenbühl, Jürg</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Ralf Schindler</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">$Σ^1_1$ choice in a theory of sets and classes</style></title><secondary-title><style face="normal" font="default" size="100%">Ways of {P}roof {T}heory</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2010/jk10.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Ontos Verlag</style></publisher><pages><style face="normal" font="default" size="100%">283–314</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Eberhard, Sebastian</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Aspekte beweisbar totaler Funktionen in applikativen Theorien</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/ebe09.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">masters</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">David Steiner</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Belief Change Functions for Multi-Agent Systems</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/ste09.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">phd</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Common knowledge does not have the Beth property</style></title><secondary-title><style face="normal" font="default" size="100%">Information Processing Letters</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/stu09.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">109</style></volume><pages><style face="normal" font="default" size="100%">611–614</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Phiniki Stouppa</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">S. Artemov</style></author><author><style face="normal" font="default" size="100%">A. Nerode</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Data Privacy for ALC Knowledge Bases</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of {L}ogical {F}oundations of {C}omputer {S}cience {LFCS}'09</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">LNCS</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/ss09b.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><volume><style face="normal" font="default" size="100%">5407</style></volume><pages><style face="normal" font="default" size="100%">409–421</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Phiniki Stouppa</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Deciding Data Privacy for ALC Knowledge Bases</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/sto09.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">phd</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kai Brünnler</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Deep Sequent Systems for Modal Logic</style></title><secondary-title><style face="normal" font="default" size="100%">Archive for Mathematical Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/bru09.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">48</style></volume><pages><style face="normal" font="default" size="100%">551–577</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Spescha, Daria</style></author><author><style face="normal" font="default" size="100%">Thomas Strahm</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Elementary explicit types and polynomial time operations</style></title><secondary-title><style face="normal" font="default" size="100%">Mathematical Logic Quarterly</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/ss09a.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">55</style></volume><pages><style face="normal" font="default" size="100%">245 –258</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Full operational set theory with unbounded existential quantification and power set</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/jae09a.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">160</style></volume><pages><style face="normal" font="default" size="100%">33–52</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Krähenbühl, Jürg</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Justifying induction on modal mu-formulae</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/kra09.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">masters</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. Artemov</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Aviad Heifetz</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Logical Omniscience as a Computational Complexity Problem</style></title><secondary-title><style face="normal" font="default" size="100%">Theoretical {A}spects of {R}ationality and {K}nowledge, Proceedings of the Twelfth Conference ({TARK 2009})</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/ak09.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">ACM</style></publisher><pub-location><style face="normal" font="default" size="100%">Stanford University, California</style></pub-location><pages><style face="normal" font="default" size="100%">14–23</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">The logical omniscience feature assumes that an epistemic agent knows all logical consequences of her assumptions. This paper offers a general theoretical framework that views logical omniscience as a computational complexity problem. We suggest the following approach: we assume that the knowledge of an agent is represented by an epistemic logical system~$E$; we call such an agent \emph{not logically omniscient} if for any valid knowledge assertion~$\mathcal{A}$ of type \emph{$F$~is known}, a proof of~$F$ in~$E$ can be found in polynomial time in the size of~$\mathcal{A}$. We show that agents represented by major modal logics of knowledge and belief are logically omniscient, whereas agents represented by justification logic systems are not logically omniscient with respect to \emph{$t$~is a justification for~$F$}.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Luca Alberucci</style></author><author><style face="normal" font="default" size="100%">Alessandro Facchini</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On modal $μ$-calculus and Gödel-Löb logic</style></title><secondary-title><style face="normal" font="default" size="100%">Studia Logica</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/af09a.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">91</style></volume><pages><style face="normal" font="default" size="100%">145-169</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Luca Alberucci</style></author><author><style face="normal" font="default" size="100%">Alessandro Facchini</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The modal $μ$-calculus hierarchy over restricted classes of transition systems</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Symbolic Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/af09b.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">74</style></volume><pages><style face="normal" font="default" size="100%">1367–1400</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kai Brünnler</style></author><author><style face="normal" font="default" size="100%">Straßburger, Lutz</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Giese, Martin</style></author><author><style face="normal" font="default" size="100%">Waaler, Arild</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Modular Sequent Systems for Modal Logic</style></title><secondary-title><style face="normal" font="default" size="100%">Tableaux 2009</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Computer Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/bs09c.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Springer-Verlag</style></publisher><volume><style face="normal" font="default" size="100%">5607</style></volume><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Costas Drossos</style></author><author><style face="normal" font="default" size="100%">Pavlos Peppas</style></author><author><style face="normal" font="default" size="100%">Constantine Tsinakis</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">A Note on the Use of Sum in the Logic of Proofs</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of the 7th {P}anhellenic {L}ogic {S}ymposium</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/kuz09b.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Patras University Press</style></publisher><pub-location><style face="normal" font="default" size="100%">Patras University, Greece</style></pub-location><pages><style face="normal" font="default" size="100%">99–103</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Buss, Samuel R.</style></author><author><style face="normal" font="default" size="100%">Kuznets, Roman</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">S. Artemov</style></author><author><style face="normal" font="default" size="100%">Nerode, Anil</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">The NP-completeness of reflected fragments of justification logics</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of {S}ymposium on {L}ogical {F}oundations of {C}omputer {S}cience ({LFCS}'09)</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Computer Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/bk09.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">5407</style></volume><pages><style face="normal" font="default" size="100%">122-136</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Justification Logic studies epistemic and provability phenomena by introducing justifications/proofs into the language in the form of justification terms. Pure justification logics serve as counterparts of traditional modal epistemic logics, and hybrid logics combine epistemic modalities with justification terms. The computational complexity of pure justification logics is typically lower than that of the corresponding modal logics. Moreover, the so-called reflected fragments, which still contain complete information about the respective justification logics, are known to be in~NP for a wide range of justification logics, pure and hybrid alike. This paper shows that, under reasonable additional restrictions, these reflected fragments are NP-complete, thereby proving a matching lower bound.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Zumbrunnen, Rico</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Ontological Questions about Operational Set Theory</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/zum09.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">masters</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">C. Glymour</style></author><author><style face="normal" font="default" size="100%">W. Wei</style></author><author><style face="normal" font="default" size="100%">D. Westerstahl</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Operations, sets and classes</style></title><secondary-title><style face="normal" font="default" size="100%">Logic, {M}ethodology and {P}hilosophy of {S}cience - {P}roceedings of the {T}hirteenth {I}nternational {C}ongress</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/jae09b.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">College Publications</style></publisher><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Traber, Roger</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Proof-Systems for PLTL: Cycling Sequents and their Use in a Finitization for PLTL</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/tra09.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">masters</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Luca Alberucci</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Sequent calculi for the modal $μ$-calculus over $\mathsf {S5}$</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Logic and Computation</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/alb09.pdf</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language><notes><style face="normal" font="default" size="100%">Published online on January 22, 2009</style></notes></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kai Brünnler</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Syntactic cut-elimination for common knowledge</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/bs09b.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">160</style></volume><pages><style face="normal" font="default" size="100%">82-95</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kai Brünnler</style></author><author><style face="normal" font="default" size="100%">Thomas Studer</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Areces, C.</style></author><author><style face="normal" font="default" size="100%">Demri, S.</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Syntactic cut-elimination for common knowledge</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of {M}ethods for {M}odalities {M}4{M}5</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">ENTCS</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/bs09a.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Elsevier</style></publisher><volume><style face="normal" font="default" size="100%">231</style></volume><pages><style face="normal" font="default" size="100%">227–240</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Spescha, Daria</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Weak Systems of Explicit Mathematics</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2009/spe09.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" size="100%">phd</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Kai Brünnler</style></author><author><style face="normal" font="default" size="100%">McKinley, Richard</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Cervesato, I.</style></author><author><style face="normal" font="default" size="100%">Veith, H.</style></author><author><style face="normal" font="default" size="100%">Voronkov, A.</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">An Algorithmic Interpretation of a Deep Inference System</style></title><secondary-title><style face="normal" font="default" size="100%">LPAR 2008</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Computer Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">2008</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2008/bm08.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Springer-Verlag</style></publisher><volume><style face="normal" font="default" size="100%">5330</style></volume><pages><style face="normal" font="default" size="100%">482–-496</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Larrzabal, Ciro</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Automatic Model Checking of UML models</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2008</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/2008/lar08.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Universität Bern</style></publisher><pub-location><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></pub-location><language><style face="normal" font="default" size="100%">eng</style></language><work-type><style face="normal" font="default" 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face="normal" font="default" size="100%">Brigitte Hösli</style></author><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">About some symmetries of negation</style></title><secondary-title><style face="normal" font="default" size="100%">The Journal of Symbolic Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">1994</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.jstor.org/stable/2275401</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">59</style></volume><pages><style face="normal" font="default" size="100%">473{–}485</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Tyko Strassen</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The basic logic of proofs</style></title></titles><dates><year><style  face="normal" font="default" size="100%">1994</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.strassen.us/thesis.pdf</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">University of Bern</style></publisher><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Propositional Provability Logic was axiomatized by R. M. Solovay in 1976. This modal logic describes the behavior of the arithmetical operator ``\$A\$ is provable''. The aim of these investigations is to provide propositional axiomatizations of the predicates ``\$p\$ is a proof of \$A\$'', ``\$p\$ is a proof which contains \$A\$'' and ``\$p\$ is a program which computes \$A\$'' using the same semantics. The presented systems, called the Basic Logic of Proofs, are first proved to be sound and complete with respect to arithmetical interpretations. Decidability is a consequence of a semantical cut elimination theorem. Moreover, appropriate syntactical models for the Basic Logic of Proofs are defined, which are closely related to canonical models. Finally, some general principles of the Basic Logic of Proofs, mainly concerning fixed points, are investigated.</style></abstract><work-type><style face="normal" font="default" size="100%">phd</style></work-type></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">B. Bütler</style></author><author><style face="normal" font="default" size="100%">R. Esser</style></author><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author><author><style face="normal" font="default" size="100%">Urs-Martin Künzi</style></author><author><style face="normal" font="default" size="100%">Heinz Lienhard</style></author><author><style face="normal" font="default" size="100%">R. Mattmann</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Executable models for analysis and implementation of complex systems</style></title><secondary-title><style face="normal" font="default" size="100%">Proceedings of Information Conference of Swiss Priority Programme Informatics Research 1992{–}1996, Module 1: Secure Distributed Systems</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">1994</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. Artemov</style></author><author><style face="normal" font="default" size="100%">Tyko Strassen</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">E. Börger</style></author><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author><author><style face="normal" font="default" size="100%">Kleine Büning, H.</style></author><author><style face="normal" font="default" size="100%">S. Martini</style></author><author><style face="normal" font="default" size="100%">M. M. Richter</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">The Basic Logic of Proofs</style></title><secondary-title><style face="normal" font="default" size="100%">{C}omputer {S}cience {L}ogic, 6th Workshop, {CSL}'92, {S}an {M}iniato, {I}taly, {S}eptember 28–{O}ctober 2, 1992, Selected Papers</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Computer Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">1993</style></year></dates><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><volume><style face="normal" font="default" size="100%">702</style></volume><pages><style face="normal" font="default" size="100%">14–28</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Propositional Provability Logic was axiomatized in [Sol76]. This logic describes the behaviour of the arithmetical operator ``$y$ is provable''. The aim of the current paper is to provide propositional axiomatizations of the predicate ``$x$ is a proof of $y$'' by means of modal logic, with the intention of meeting some of the needs of computer science.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author><author><style face="normal" font="default" size="100%">Robert F. Stärk</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The defining power of stratified and hierarchical logic programs</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Logic Programming</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">1993</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/1993/js93.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">55{–}77</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Fixed points in Peano arithmetic with ordinals</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">1993</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://dx.doi.org/10.1016/0168-0072(93)90039-G</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">60</style></volume><pages><style face="normal" font="default" size="100%">119{–}132</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. Artemov</style></author><author><style face="normal" font="default" size="100%">Tyko Strassen</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Functionality in the Basic Logic of Proofs</style></title></titles><dates><year><style  face="normal" font="default" size="100%">1993</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/publikationen/techreports/1993/iam-93-004</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></publisher><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">This report describes the elimination of the injectivity restriction for functional arithmetical interpretations as used in the systems $\mathcal{PF}$ and $\mathcal{PFM}$ in the Basic Logic of Proofs. An appropriate axiom system $\mathcal{PU}$ in a language with operators ``$x$ is a proof of $y$'' is defined and proved to be sound and complete with respect to all arithmetical interpretations based on functional proof predicates. Unification plays a major role in the formulation of the new axioms.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. Artemov</style></author><author><style face="normal" font="default" size="100%">Tyko Strassen</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Georg Gottlob</style></author><author><style face="normal" font="default" size="100%">Alexander Leitsch</style></author><author><style face="normal" font="default" size="100%">Daniele Mundici</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">The Logic of the {Gödel Proof Predicate</style></title><secondary-title><style face="normal" font="default" size="100%">Computational Logic and Proof Theory, Third {K}urt {Gödel {C}olloquium, {KGC}'93, {B}rno, {C}zech {R}epublic, {A}ugust 24–27, 1993, Proceedings</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Lecture Notes in Computer Science</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">1993</style></year></dates><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><volume><style face="normal" font="default" size="100%">713</style></volume><pages><style face="normal" font="default" size="100%">71–82</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">We discuss the logics of the operators ``$p$ is a proof of $A$'' and ``$p$ is a proof containing $A$'' for the standard Gödel proof predicate in Peano Arithmetic. Decidabillty and arithmetical completeness of these logics are proved. We use the same semantics as for the Provability Logic where the operator ``$A$ is provable'' is studied.</style></abstract></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Friedrich Ludwig Bauer</style></author><author><style face="normal" font="default" size="100%">Wilfried Brauer</style></author><author><style face="normal" font="default" size="100%">Helmut Schwichtenberg</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">Some proof-theoretic aspects of logic programming</style></title><secondary-title><style face="normal" font="default" size="100%">Logic and Algebra of Specification</style></secondary-title><tertiary-title><style face="normal" font="default" size="100%">Computer and Systems Sciences</style></tertiary-title></titles><dates><year><style  face="normal" font="default" size="100%">1993</style></year></dates><publisher><style face="normal" font="default" size="100%">Springer</style></publisher><volume><style face="normal" font="default" size="100%">94</style></volume><pages><style face="normal" font="default" size="100%">113{–}142</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Solomon Feferman</style></author><author><style face="normal" font="default" size="100%">Gerhard Jäger</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Systems of explicit mathematics with non-constructive $μ$-operator. Part I</style></title><secondary-title><style face="normal" font="default" size="100%">Annals of Pure and Applied Logic</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">1993</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/ltgpub/1993/fj93.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">65</style></volume><pages><style face="normal" font="default" size="100%">243{–}263</style></pages><language><style face="normal" font="default" size="100%">eng</style></language></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. Artemov</style></author><author><style face="normal" font="default" size="100%">Tyko Strassen</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The Basic Logic of Proofs</style></title></titles><dates><year><style  face="normal" font="default" size="100%">1992</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.iam.unibe.ch/publikationen/techreports/1992/iam-92-018</style></url></web-urls></urls><publisher><style face="normal" font="default" size="100%">Institut für Informatik und angewandte Mathematik</style></publisher><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">Propositional Provability Logic was axiomatized in [Sol76]. This logic describes the behaviour of the arithmetical operator ``$y$ is provable''. The aim of the current paper is to provide propositional axiomatizations of the predicate ``$x$ is a proof of $y$'' by means of modal logic, with the intention of meeting some of the needs of computer science.</style></abstract></record></records></xml>