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» A New Space Bound for the Modal Logics K4, KD4 and S4
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MFCS
1999
Springer
13 years 9 months ago
A New Space Bound for the Modal Logics K4, KD4 and S4
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 kno...
Linh Anh Nguyen
AIML
1998
13 years 6 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
2004
13 years 6 months ago
On the Complexity of Fragments of Modal Logics
We study and give a summary of the complexity of 15 basic normal monomodal logics under the restriction to the Horn fragment and/or bounded modal depth. As new results, we show tha...
Linh Anh Nguyen
FUIN
2000
115views more  FUIN 2000»
13 years 4 months ago
Constructing the Least Models for Positive Modal Logic Programs
We give algorithms to construct the least L-model for a given positive modal logic program P, where L can be one of the modal logics KD, T, KDB, B, KD4, S4, KD5, KD45, and S5. If L...
Linh Anh Nguyen
AIML
2006
13 years 6 months ago
From topology to metric: modal logic and quantification in metric spaces
We propose a framework for comparing the expressive power and computational behaviour of modal logics designed for reasoning about qualitative aspects of metric spaces. Within this...
Mikhail Sheremet, Dmitry Tishkovsky, Frank Wolter,...