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ExpTime Tableau Decision Procedures for Regular Grammar Logics with Converse
Institute of Informatics, Warsaw University.
Linköping University, Department of Computer and Information Science, KPLAB - Knowledge Processing Lab. Linköping University, The Institute of Technology.
2011 (English)In: Studia Logica: An International Journal for Symbolic Logic, ISSN 0039-3215, E-ISSN 1572-8730, Vol. 98, no 3, 387-428 p.Article in journal (Refereed) Published
Abstract [en]

Grammar logics were introduced by Fariñas del Cerro and Penttonen in 1988 and have been widely studied. In this paper we consider regular grammar logics with converse (REG c logics) and present sound and complete tableau calculi for the general satisfiability problem of REG c logics and the problem of checking consistency of an ABox w.r.t. a TBox in a REG c logic. Using our calculi we develop ExpTime (optimal) tableau decision procedures for the mentioned problems, to which various optimization techniques can be applied. We also prove a new result that the data complexity of the instance checking problem in REG clogics is coNP-complete.

Place, publisher, year, edition, pages
Berlin/Heidelberg: Springer Berlin/Heidelberg, 2011. Vol. 98, no 3, 387-428 p.
Keyword [en]
Modal logic, regular grammar logics with converse, automated reasoning, tableaux, global caching
National Category
Computer Science
Identifiers
URN: urn:nbn:se:liu:diva-72694DOI: 10.1007/s11225-011-9341-3OAI: oai:DiVA.org:liu-72694DiVA: diva2:461546
Available from: 2011-12-05 Created: 2011-12-05 Last updated: 2011-12-12

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Szalas, Andrzej
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Citation style
  • apa
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  • de-DE
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  • Other locale
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Output format
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