The Abella Interactive Theorem Prover (System Description)

dc.creatorGacek, Andrew
dc.date2008-03-15
dc.date2008-05-23
dc.date.accessioned2026-07-07T12:17:42Z
dc.date.available2026-07-07T12:17:42Z
dc.descriptionAbella is an interactive system for reasoning about aspects of object languages that have been formally presented through recursive rules based on syntactic structure. Abella utilizes a two-level logic approach to specification and reasoning. One level is defined by a specification logic which supports a transparent encoding of structural semantics rules and also enables their execution. The second level, called the reasoning logic, embeds the specification logic and allows the development of proofs of properties about specifications. An important characteristic of both logics is that they exploit the lambda tree syntax approach to treating binding in object languages. Amongst other things, Abella has been used to prove normalizability properties of the lambda calculus, cut admissibility for a sequent calculus and type uniqueness and subject reduction properties. This paper discusses the logical foundations of Abella, outlines the style of theorem proving that it supports and finally describes some of its recent applications.
dc.description7 pages, to appear in IJCAR'08
dc.identifierhttps://arxiv.org/abs/0803.2305
dc.identifierhttp://arxiv.org/abs/0803.2305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212164
dc.subjectLogic in Computer Science
dc.subjectProgramming Languages
dc.titleThe Abella Interactive Theorem Prover (System Description)
dc.typetext

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