A modal-layered resolution calculus for K

C. Nalon, U. Hustadt, C. Dixon

Research output: Chapter in Book/Conference proceedingConference contributionpeer-review

Abstract

Resolution-based provers for multimodal normal logics require pruning of the search space for a proof in order to deal with the inherent intractability of the satisfiability problem for such logics. We present a clausal modal-layered hyper-resolution calculus for the basic multimodal logic, which divides the clause set according to the modal depth at which clauses occur. We show that the calculus is complete for the logics being considered. We also show that the calculus can be combined with other strategies. In particular, we discuss the completeness of combining modal layering and negative resolution. In addition, we present an incompleteness result for modal layering together with ordered resolution.
Original languageEnglish
Title of host publicationAutomated Reasoning with Analytic Tableaux and Related Methods
Subtitle of host publication24th International Conference, TABLEAUX 2015, Wroclaw, Poland, September 21-24, 2015, Proceedings
PublisherSpringer Nature
Pages185-200
Number of pages16
ISBN (Electronic)978-3-319-24312-2
ISBN (Print)978-3-319-24311-5
DOIs
Publication statusPublished - 2015
EventTABLEAUX: International Conference on Automated Reasoning with Analytic Tableaux and Related Methods: 24th International Conference - Wroclaw, Poland
Duration: 21 Sept 201524 Sept 2015

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume9323
NameLecture Notes in Artificial Intelligence
PublisherSpringer
Volume9323

Conference

ConferenceTABLEAUX: International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
Abbreviated titleTABLEAUX 2015
Country/TerritoryPoland
CityWroclaw
Period21/09/1524/09/15

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