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» Modal logic and invariance
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AAAI
2007
14 years 16 days ago
Prime Implicates and Prime Implicants in Modal Logic
The purpose of this paper is to extend the notions of prime implicates and prime implicants to the basic modal logic K. We consider a number of different potential definitions of...
Meghyn Bienvenu
LOGCOM
2007
72views more  LOGCOM 2007»
13 years 10 months ago
Classical Modal Display Logic in the Calculus of Structures and Minimal Cut-free Deep Inference Calculi for S5
We begin by showing how to faithfully encode the Classical Modal Display Logic (CMDL) of Wansing into the Calculus of Structures (CoS) of Guglielmi. Since every CMDL calculus enjo...
Rajeev Goré, Alwen Tiu
ATAL
2011
Springer
12 years 10 months ago
Reasoning about local properties in modal logic
In modal logic, when adding a syntactic property to an axiomatisation, this property will semantically become true in all models, in all situations, under all circumstances. For i...
Hans P. van Ditmarsch, Wiebe van der Hoek, Barteld...
JAR
2000
137views more  JAR 2000»
13 years 10 months ago
A Benchmark Method for the Propositional Modal Logics K, KT, S4
A lot of methods have been proposed -- and sometimes implemented -- for proof search in the propositional modal logics K, KT, and S4. It is difficult to compare the usefulness of ...
Peter Balsiger, Alain Heuerding, Stefan Schwendima...
CADE
2007
Springer
14 years 10 months ago
Bidirectional Decision Procedures for the Intuitionistic Propositional Modal Logic IS4
We present a multi-context focused sequent calculus whose derivations are in bijective correspondence with normal natural deductions in the propositional fragment of the intuitioni...
Samuli Heilala, Brigitte Pientka