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Craig Interpolation in Displayable Logics

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dc.contributor.authorBrotherston, James
dc.contributor.authorGore, Rajeev
dc.coverage.spatialBern Switzerland
dc.date.accessioned2015-12-08T22:40:07Z
dc.date.createdJuly 4-8 2011
dc.date.issued2011
dc.date.updated2016-02-24T11:29:54Z
dc.description.abstractWe give a general proof-theoretic method for proving Craig interpolation for displayable logics, based on an analysis of the individual proof rules of their display calculi. Using this uniform method, we prove interpolation for a spectrum of display calculi differing in their structural rules, including those for multiplicative linear logic, multiplicative additive linear logic and ordinary classical logic. Our analysis of proof rules also provides new insights into why interpolation fails, or seems likely to fail, in many substructural logics. Specifically, contraction appears particularly problematic for interpolation except in special circumstances.
dc.identifier.isbn9783642221187
dc.identifier.urihttp://hdl.handle.net/1885/36361
dc.publisherSpringer
dc.relation.ispartofseriesInternational Conference on Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 2011)
dc.sourceInternational Conference on Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX)
dc.subjectKeywords: Classical logic; Craig interpolation; Linear logic; Multiplicative linear logic; Proof-theoretic method; Structural rules; Substructural logic; Automata theory; Biomineralization; Pathology; Problem solving; Interpolation
dc.titleCraig Interpolation in Displayable Logics
dc.typeConference paper
local.bibliographicCitation.lastpage103
local.bibliographicCitation.startpage88
local.contributor.affiliationBrotherston, James, Imperial College London
local.contributor.affiliationGore, Rajeev, College of Engineering and Computer Science, ANU
local.contributor.authoruidGore, Rajeev, u9409448
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor080203 - Computational Logic and Formal Languages
local.identifier.absseo970108 - Expanding Knowledge in the Information and Computing Sciences
local.identifier.ariespublicationu4963866xPUB135
local.identifier.doi10.1007/978-3-642-22119-4_9
local.identifier.scopusID2-s2.0-79959747669
local.type.statusPublished Version

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