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FOSSACS
2007
Springer
13 years 11 months ago
The Complexity of Generalized Satisfiability for Linear Temporal Logic
In a seminal paper from 1985, Sistla and Clarke showed that satisfiability for Linear Temporal Logic (LTL) is either NP-complete or PSPACE-complete, depending on the set of tempora...
Michael Bauland, Thomas Schneider 0002, Henning Sc...
AIML
1998
13 years 9 months ago
A Resolution-Based Decision Procedure for Extensions of K4
Abstract. This paper presents a resolution decision procedure for transitive propositional modal logics. The procedure combines the relational translation method with an ordered ch...
Harald Ganzinger, Ullrich Hustadt, Christoph Meyer...
AIML
2008
13 years 9 months ago
A modal perspective on monadic second-order alternation hierarchies
abstract. We establish that the quantifier alternation hierarchy of formulae of Second-Order Propositional Modal Logic (SOPML) induces an infinite corresponding semantic hierarchy ...
Antti Kuusisto
IJCAI
2003
13 years 9 months ago
On the Undecidability of Description and Dynamic Logics with Recursion and Counting
The evolution of Description Logics (DLs) and Propositional Dynamic Logics produced a hierar­ chy of decidable logics with multiple maximal el­ ements. It would be desirable to ...
Piero A. Bonatti
SAT
2004
Springer
106views Hardware» more  SAT 2004»
14 years 1 months ago
The Optimality of a Fast CNF Conversion and its Use with SAT
Despite the widespread use and study of Boolean satisfiability for a diverse range of problem domains, encoding of problems is usually given to general propositional logic with li...
Daniel Sheridan