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Structural abstract interpretation, A formal study using Coq

Yves Bertot 1
1 MARELLE - Mathematical, Reasoning and Software
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : Abstract interpreters are tools to compute approximations for behaviors of a program. These approximations can then be used for optimisation or for error detection. In this paper, we show how to describe an abstract interpreter using the type-theory based theorem prover Coq, using inductive types for syntax and structural recursive programming for the abstract interpreter's kernel. The abstract interpreter can then be proved correct with respect to a Hoare logic for the programming language.
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Submitted on : Monday, October 20, 2008 - 4:17:06 PM
Last modification on : Thursday, January 20, 2022 - 5:30:45 PM
Long-term archiving on: : Tuesday, September 21, 2010 - 5:32:20 PM


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  • HAL Id : inria-00329572, version 2
  • ARXIV : 0810.2179



Yves Bertot. Structural abstract interpretation, A formal study using Coq. LERNET Summer School, Ana Bove and Jorge Sousa Pinto, Feb 2008, Piriapolis, Uruguay. ⟨inria-00329572v2⟩



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