The Abella Interactive Theorem Prover (System Description)

Details The Abella Interactive Theorem Prover (System Description) The Abella Interactive Theorem Prover (System Description)

2008-03-15

arxiv.org/abs/0803.2305v2

Computer Science

Logic in Computer Science

7 pages, to appear in IJCAR'08

Scientific paper

Abella 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.

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