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» Parameterized Modal Satisfiability
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AIML
2004
13 years 8 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
JAPLL
2010
111views more  JAPLL 2010»
13 years 2 months ago
The complexity of satisfiability for fragments of hybrid logic - Part I
The satisfiability problem of hybrid logics with the downarrow binder is known to be undecidable. This initiated a research program on decidable and tractable fragments. In this p...
Arne Meier, Martin Mundhenk, Thomas Schneider 0002...
CADE
2006
Springer
13 years 11 months ago
Presburger Modal Logic Is PSPACE-Complete
We introduce a Presburger modal logic PML with regularity constraints and full Presburger constraints on the number of children that generalize graded modalities, also known as num...
Stéphane Demri, Denis Lugiez
FUIN
2000
115views more  FUIN 2000»
13 years 7 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
CADE
2001
Springer
14 years 7 months ago
RACER System Description
RACER implements a TBox and ABox reasoner for the logic SHIQ. RACER was the first full-fledged ABox description logic system for a very expressive logic and is based on optimized s...
Ralf Möller, Volker Haarslev