Abstract
We consider a general format for sequent rules for not necessarily normal modal logics based on classical or intuitionistic propositional logic and provide relatively simple local conditions ensuring cut elimination for such rule sets. The rule format encompasses e.g. rules for the boolean connectives and transitive modal logics such as S4 or its constructive version. We also adapt the method of constructing suitable rule sets by saturation to the intuitionistic setting and provide a criterium for translating axioms for intuitionistic modal logics into sequent rules. Examples include constructive modal logics and conditional logic.
Original language | English |
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Title of host publication | Logic and Its Applications - 5th Indian Conference, ICLA 2013, Proceedings |
Publisher | Springer Verlag |
Pages | 148-160 |
Number of pages | 13 |
ISBN (Print) | 9783642360381 |
DOIs | |
Publication status | Published - 2013 |
Event | 5th Indian Conference on Logic and Its Applications, ICLA 2013 - Chennai, India Duration: 10 Jan 2013 → 12 Jan 2013 |
Publication series
Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 7750 LNCS |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Conference
Conference | 5th Indian Conference on Logic and Its Applications, ICLA 2013 |
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Country/Territory | India |
City | Chennai |
Period | 10/01/13 → 12/01/13 |