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A Mechanized Theory of Program Refinement

Abstract

We present a mechanized theory of program refinement that allows for the stepwise development of imperative programs in the Coq proof assistant. We formalize a design language with support for gradual refinement and a calculus which enforces correctness-by-construction. A notion of program design captures the hierarchy of refinement steps resulting from a development. The underlying theory follows the predicative programming paradigm where programs and specifications are both easily expressed as predicates, which fit naturally in the dependent type theory of the proof assistant.
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Dates and versions

hal-02367566 , version 1 (18-11-2019)

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Boubacar Demba Sall, Frédéric Peschanski, Emmanuel Chailloux. A Mechanized Theory of Program Refinement. ICFEM 2019 - 21st International Conference on Formal Engineering Methods, Nov 2019, Shenzhen, China. pp.305-321, ⟨10.1007/978-3-030-32409-4_19⟩. ⟨hal-02367566⟩
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