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A Non-linear Arithmetic Procedure for Control-Command Software Verification

Abstract : State-of-the-art (semi-)decision procedures for non-linear real arithmetic address polynomial inequalities by mean of symbolic methods, such as quantifier elimination, or numerical approaches such as interval arithmetic. Although (some of) these methods offer nice completeness properties, their high complexity remains a limit, despite the impressive efficiency of modern implementations. This appears to be an obstacle to the use of SMT solvers when verifying, for instance, functional properties of control-command programs. Using off-the-shelf convex optimization solvers is known to constitute an appealing alternative. However, these solvers only deliver approximate solutions, which means they do not readily provide the soundness expected for applications such as software verification. We thus investigate a-posteriori validation methods and their integration in the SMT framework. Although our early prototype, implemented in the Alt-Ergo SMT solver, often does not prove competitive with state of the art solvers, it already gives some interesting results, particularly on control-command programs.
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https://hal.archives-ouvertes.fr/hal-01737737
Contributor : Pierre Roux <>
Submitted on : Monday, March 19, 2018 - 5:16:46 PM
Last modification on : Tuesday, April 21, 2020 - 1:05:37 AM
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  • HAL Id : hal-01737737, version 1

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Pierre Roux, Mohamed Iguernelala, Sylvain Conchon. A Non-linear Arithmetic Procedure for Control-Command Software Verification. 24th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS), Apr 2018, Thessalonique, Greece. pp.132-151. ⟨hal-01737737⟩

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