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Translating Higher-order Clauses to First-Order Clauses

dc.contributor.authorPaulson, Lawrence C.
dc.contributor.authorMeng, Jia
dc.date.accessioned2015-12-10T22:18:33Z
dc.date.issued2008
dc.date.updated2015-12-09T08:36:02Z
dc.description.abstractInteractive provers typically use higher-order logic, while automatic provers typically use first-order logic. To integrate interactive provers with automatic ones, one must translate higher-order formulas to first-order form. The translation should ideally be both sound and practical. We have investigated several methods of translating function applications, types, and λ-abstractions. Omitting some type information improves the success rate but can be unsound, so the interactive prover must verify the proofs. This paper presents experimental data that compares the translations in respect of their success rates for three automatic provers.
dc.identifier.issn0168-7433
dc.identifier.urihttp://hdl.handle.net/1885/51458
dc.publisherKluwer Academic Publishers
dc.sourceJournal of Automated Reasoning
dc.subjectKeywords: Abstracting; Function evaluation; Interactive computer systems; Logic programming; Clause translation; Higher order logic; Interactive theorem provers; Theorem proving Clause translation; First-order logic; Higher-order logic; Interactive theorem provers
dc.titleTranslating Higher-order Clauses to First-Order Clauses
dc.typeJournal article
local.bibliographicCitation.issue1
local.bibliographicCitation.lastpage60
local.bibliographicCitation.startpage35
local.contributor.affiliationPaulson, Lawrence C., University of Cambridge
local.contributor.affiliationMeng, Jia, College of Engineering and Computer Science, ANU
local.contributor.authoruidMeng, Jia, a210311
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor080199 - Artificial Intelligence and Image Processing not elsewhere classified
local.identifier.ariespublicationu8803936xPUB224
local.identifier.citationvolume40
local.identifier.doi10.1007/s10817-007-9085-y
local.identifier.scopusID2-s2.0-37449033344
local.type.statusPublished Version

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