Models and theories of lambda calculus

dc.creatorManzonetto, Giulio
dc.date2009-04-30
dc.date.accessioned2026-07-07T13:10:07Z
dc.date.available2026-07-07T13:10:07Z
dc.descriptionIn this paper we briefly summarize the contents of Manzonetto's PhD thesis which concerns denotational semantics and equational/order theories of the pure untyped lambda-calculus. The main research achievements include: (i) a general construction of lambda-models from reflexive objects in (possibly non-well-pointed) categories; (ii) a Stone-style representation theorem for combinatory algebras; (iii) a proof that no effective lambda-model can have lambda-beta or lambda-beta-eta as its equational theory (this can be seen as a partial answer to an open problem introduced by Honsell-Ronchi Della Rocca in 1984).
dc.identifierhttps://arxiv.org/abs/0904.4756
dc.identifierhttp://arxiv.org/abs/0904.4756
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228956
dc.subjectLogic in Computer Science
dc.titleModels and theories of lambda calculus
dc.typetext

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