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Cut elimination in nested sequents for intuitionistic modal logics

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

39 Citations (Scopus)

Abstract

We present cut-free deductive systems without labels for the intuitionistic variants of the modal logics obtained by extending IK with a subset of the axioms d, t, b, 4, and 5. For this, we use the formalism of nested sequents, which allows us to give a uniform cut elimination argument for all 15 logic in the intuitionistic S5 cube.

Original languageEnglish
Title of host publicationFoundations of Software Science and Computation Structures - 16th Int. Conference, FOSSACS 2013, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2013, Proc.
Pages209-224
Number of pages16
DOIs
Publication statusPublished - 5 Mar 2013
Event16th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2013, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2013 - Rome, Italy
Duration: 16 Mar 201324 Mar 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7794 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference16th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2013, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2013
Country/TerritoryItaly
CityRome
Period16/03/1324/03/13

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