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» On the Complexity of Elementary Modal Logics
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AIML
2008
14 years 10 days ago
PSPACE-decidability of Japaridze's polymodal logic
In this paper we prove that Japaridze's Polymodal Logic is PSPACE-decidable. To show this, we describe a decision procedure for satisfiability on hereditarily ordered frames t...
Ilya Shapirovsky
TACAS
2010
Springer
160views Algorithms» more  TACAS 2010»
14 years 5 months ago
Optimal Tableau Algorithms for Coalgebraic Logics
Deciding whether a modal formula is satisfiable with respect to a given set of (global) assumptions is a question of fundamental importance in applications of logic in computer sc...
Rajeev Goré, Clemens Kupke, Dirk Pattinson
LOGCOM
2006
90views more  LOGCOM 2006»
13 years 10 months ago
Transfer Results for Hybrid Logic. Part I: The Case Without Satisfaction Operators
For every Kripke complete modal logic L we define its hybrid companion LH . For a reasonable class of logics, we present a satisfiability-preserving translation from LH to L. We p...
Nick Bezhanishvili, Balder ten Cate
TABLEAUX
2009
Springer
14 years 5 months ago
Generic Modal Cut Elimination Applied to Conditional Logics
We develop a general criterion for cut elimination in sequent calculi for propositional modal logics, which rests on absorption of cut, contraction, weakening and inversion by the ...
Dirk Pattinson, Lutz Schröder
AI
1999
Springer
13 years 10 months ago
Modal Logics, Description Logics and Arithmetic Reasoning
Forthcoming in the Journal of Aritificial Intelligence We introduce mathematical programming and atomic decomposition as the basic modal (T-Box) inference techniques for a large c...
Hans Jürgen Ohlbach, Jana Koehler