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Reasoning with Global Assumptions in Arithmetic Modal Logics

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dc.contributor.authorKupke, Clemens
dc.contributor.authorPattinson, Dirk
dc.contributor.authorSchroder, Lutz
dc.date.accessioned2016-02-24T22:42:00Z
dc.date.issued2015
dc.date.updated2016-06-14T09:03:38Z
dc.description.abstractWe establish a generic upper bound ExpTime for reasoning with global assumptions in coalgebraic modal logics. Unlike earlier results of this kind, we do not require a tractable set of tableau rules for the instance logics, so that the result applies to wider classes of logics. Examples are Presburger modal logic, which extends graded modal logic with linear inequalities over numbers of successors, and probabilistic modal logic with polynomial inequalities over probabilities. We establish the theoretical upper bound using a type elimination algorithm. We also provide a global caching algorithm that offers potential for practical reasoning.
dc.identifier.issn0302-9743
dc.identifier.urihttp://hdl.handle.net/1885/98894
dc.publisherSpringer
dc.sourceLecture Notes in Computer Science (LNCS)
dc.titleReasoning with Global Assumptions in Arithmetic Modal Logics
dc.typeJournal article
local.bibliographicCitation.lastpage380
local.bibliographicCitation.startpage367
local.contributor.affiliationKupke, Clemens, University of Strathclyde
local.contributor.affiliationPattinson, Dirk, College of Engineering and Computer Science, ANU
local.contributor.affiliationSchroder, Lutz, Friedrich-Alexander Universitat
local.contributor.authoruidPattinson, Dirk, u4762643
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor080203 - Computational Logic and Formal Languages
local.identifier.absseo970108 - Expanding Knowledge in the Information and Computing Sciences
local.identifier.ariespublicationu4334215xPUB1544
local.identifier.citationvolume9210 Fundamentals of Computation Theory
local.identifier.doi10.1007/978-3-319-22177-9_28
local.identifier.scopusID2-s2.0-84943641178
local.type.statusPublished Version

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