A Subset-Matching Size-Bounded Cache for Testing Satisfiability in Modal Logics
Annals of Mathematics and Artificial Intelligence
A Benchmark Method for the Propositional Modal Logics K, KT, S4
Journal of Automated Reasoning
SAT-Based Decision Procedures for Classical Modal Logics
Journal of Automated Reasoning
Comparison of Theorem Provers for Modal Logics - Introduction and Summary
TABLEAUX '98 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
Design and Results of the Tableaux-99 Non-classical (Modal) Systems Comparison
TABLEAUX '99 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
TABLEAUX '00 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
Design and Results of TANCS-2000 Non-classical (Modal) Systems Comparison
TABLEAUX '00 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
Consistency Testing: The RACE Experience
TABLEAUX '00 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
CADE-17 Proceedings of the 17th International Conference on Automated Deduction
System Description: *SAT: A Platform for the Development of Modal Decision Procedures
CADE-17 Proceedings of the 17th International Conference on Automated Deduction
IJCAR '01 Proceedings of the First International Joint Conference on Automated Reasoning
Optimizing Terminological Reasoning for Expressive Description Logics
Journal of Automated Reasoning
TABLEAUX '07 Proceedings of the 16th international conference on Automated Reasoning with Analytic Tableaux and Related Methods
HTab: a Terminating Tableaux System for Hybrid Logic
Electronic Notes in Theoretical Computer Science (ENTCS)
Hybrid Tableaux for the Difference Modality
Electronic Notes in Theoretical Computer Science (ENTCS)
Terminating Tableau Systems for Hybrid Logic with Difference and Converse
Journal of Logic, Language and Information
An Optimal On-the-Fly Tableau-Based Decision Procedure for PDL-Satisfiability
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
A new method to index and query sets
IJCAI'99 Proceedings of the 16th international joint conference on Artifical intelligence - Volume 1
Ontology reasoning in the SHOQ(D) description logic
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Ordering heuristics for description logic reasoning
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies
TABLEAUX '09 Proceedings of the 18th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
FaCT++ description logic reasoner: system description
IJCAR'06 Proceedings of the Third international joint conference on Automated Reasoning
Hybrid specification of reactive systems: an institutional approach
SEFM'11 Proceedings of the 9th international conference on Software engineering and formal methods
InKreSAT: modal reasoning via incremental reduction to SAT
CADE'13 Proceedings of the 24th international conference on Automated Deduction
A Goal-Directed Decision Procedure for Hybrid PDL
Journal of Automated Reasoning
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Spartacus is a tableau prover for hybrid multimodal logic with global modalities and reflexive and transitive relations. Spartacus is the first system to use pattern-based blocking for termination. To achieve a competitive performance, Spartacus implements a number of optimization techniques, including a new technique that we call lazy branching. We evaluate the practical impact of pattern-based blocking and lazy branching for the basic modal logic K and observe high effectiveness of both techniques.