Moving Proofs-as-Programs into Practice
Proceedings of 12th IEEE International Conference Automated Software Engineering (ASE'97)
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Proofs in the Nuprl system, an implementation of a constructive type theory, yield correct-by-construction
programs. In this paper a new methodology is presented for extracting efficient and readable programs from inductive proofs. The resulting extracted programs are in a form suitable for use in hierarchical verifications in that they are amenable to clean partial evaluation via extensions to the Nuprl rewrite system. The method is based on two elements: specifications written with careful use of the Nuprl set-type to restrict the extracts to strictly computational content; and on proofs that use induction tactics that generate extracts using familiar fixed-point combinators of the untyped lambda calculus. In this paper the methodology is described and its application is illustrated by example.
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