Optimising Propositional Modal Satisfiability for Description Logic Subsumption

Effective optimisation techniques can make a dramatic difference in the performance of knowledge representation systems based on expressive description logics. Because of the correspondence between description logics and propositional modal logic many of these techniques carry over into propositional modal logic satisfiability checking. Currently-implemented representation systems that employ these techniques, such as FaCT and DLP, make effective satisfiable checkers for various propositional modal logics.

[1]  Ullrich Hustadt,et al.  On Evaluating Decision Procedures for Modal Logics , 1997 .

[2]  Francesco M. Donini,et al.  Exptime Tableaux for ALC , 2000, Description Logics.

[3]  Jon W. Freeman.  Hard Random 3-SAT Problems and the Davis-Putnam Procedure , 1996, Artif. Intell..

[4]  Donald W. Loveland,et al.  A machine program for theorem-proving , 2011, CACM.

[5]  Klaus Schild,et al.  A Correspondence Theory for Terminological Logics: Preliminary Report , 1991, IJCAI.

[6]  A. B. Baker.  Intelligent backtracking on constraint satisfaction problems: experimental and theoretical results , 1995 .

[7]  Franz Baader,et al.  KRIS: Knowledge Representation and Inference System , 1991, SGAR.

[8]  Peter F. Patel-Schneider,et al.  System Description: DLP , 2000, CADE.

[9]  Sergio Tessaris,et al.  Implementing and Testing Expressive Description Logics: a Preliminary Report , 1995 .

[10]  P.J.F. Lucas.  Knowledge representation and inference in rule-based systems , 1986 .

[11]  Peter Balsiger,et al.  Comparison of Theorem Provers for Modal Logics - Introduction and Summary , 1998, TABLEAUX.

[12]  Ullrich Hustadt,et al.  On Evaluating Decision Procedures for Modal Logic , 1997, IJCAI.

[13]  Ulrike Sattler,et al.  A Concept Language Extended with Different Kinds of Transitive Roles , 1996, KI.

[14]  Ian Horrocks,et al.  Optimising Tableaux Decision Procedures For Description Logics , 1997 .

[15]  Fausto Giunchiglia,et al.  A SAT-based Decision Procedure for ALC , 1996, KR.

[16]  Bernhard Nebel,et al.  An Empirical Analysis of Optimization Techniques for Terminological Representation Systems, or Making KRIS Get a Move On , 1992, KR.