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Formal verification in Coq of program properties involving the global state effect

Jean-Guillaume Dumas 1 Dominique Duval 1, * Burak Ekici 1, * Damien Pous 2, 3
* Corresponding author
3 PLUME - Preuves et Langages
LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : The syntax of an imperative language does not mention explicitly the state, while its denotational semantics has to mention it. In this paper we present a framework for the verification in Coq of properties of programs manipulating the global state effect. These properties are expressed in a proof system which is close to the syntax, as in effect systems, in the sense that the state does not appear explicitly in the type of expressions which manipulate it. Rather, the state appears via decorations added to terms and to equations. In this system, proofs of programs thus present two aspects: properties can be verified {\em up to effects} or the effects can be taken into account. The design of our Coq library consequently reflects these two aspects: our framework is centered around the construction of two inductive and dependent types, one for terms up to effects and one for the manipulation of decorations.
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Submitted on : Friday, October 11, 2013 - 4:47:50 PM
Last modification on : Saturday, September 11, 2021 - 3:18:08 AM
Long-term archiving on: : Friday, April 7, 2017 - 9:58:47 AM


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  • HAL Id : hal-00869230, version 2
  • ARXIV : 1310.0794


Jean-Guillaume Dumas, Dominique Duval, Burak Ekici, Damien Pous. Formal verification in Coq of program properties involving the global state effect. JFLA 2014 - Journées Francophones des Langages Applicatifs, Jan 2014, Fréjus, France. pp.1-17. ⟨hal-00869230v2⟩



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