Gentzen-type systems and resolution rules. Part I. Propositional logic
COLOG '88 Proceedings of the International Conference on Computer Logic
Modal Satisfiability Is in Deterministic Linear Space
Proceedings of the 14th Annual Conference of the EACSL on Computer Science Logic
Clausal graph tableaux for hybrid logic with eventualities and difference
LPAR'10 Proceedings of the 17th international conference on Logic for programming, artificial intelligence, and reasoning
Clausal Tableaux for Multimodal Logics of Belief
Fundamenta Informaticae
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We propose so called clausal tableau systems for the common modal logics K4, KD4 and S4. Basing on these systems, we give more efficient decision procedures than those hitherto known for the considered logics. In particular space requirements for our logics are reduced from the previously established bound O(n2.logn) to O(n.logn).