From proposition to program embedding the refinement calculus in coq

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Abstract

The refinement calculus and type theory are both frameworks that support the specification and verification of programs. This paper presents an embedding of the refinement calculus in the interactive theorem prover Coq, clarifying the relation between the two.As a result, refinement calculations can be performed in Coq, enabling the semi-automatic calculation of formally verified programs from their specification.

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Swierstra, W., & Alpuim, J. (2016). From proposition to program embedding the refinement calculus in coq. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9613, pp. 29–44). Springer Verlag. https://doi.org/10.1007/978-3-319-29604-3_3

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