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Multi-Prover Verification of Floating-Point Programs

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Automated Reasoning (IJCAR 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6173))

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Abstract

In the context of deductive program verification, supporting floating-point computations is tricky. We propose an expressive language to formally specify behavioral properties of such programs. We give a first-order axiomatization of floating-point operations which allows to reduce verification to checking the validity of logic formulas, in a suitable form for a large class of provers including SMT solvers and interactive proof assistants. Experiments using the Frama-C platform for static analysis of C code are presented.

This work was supported by the French national projects: CerPan (Certification of numerical programs, ANR-05-BLAN-0281-04), Hisseo (Static and dynamic analysis of floating-point programs, Digiteo 09/2008-08/2011), and U3CAT (Unification of Critical C Code Analysis Techniques, ANR-09-ARPEGE).

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Author information

Authors and Affiliations

  1. Software Safety Laboratory, CEA LIST, F-91191, Gif-sur-Yvette, France

    Ali Ayad

  2. INRIA Saclay - Île-de-France, F-91893, Orsay, France

    Claude Marché

  3. LRI, Univ. Paris-Sud, CNRS, F-91405, Orsay, France

    Ali Ayad & Claude Marché

Authors
  1. Ali Ayad
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  2. Claude Marché
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Editor information

Editors and Affiliations

  1. RWTH Aachen, LuFG Informatik, 2, Ahornstr. 55, 52074, Aachen, Germany

    Jürgen Giesl

  2. Department of Computer Science, Chalmers University of Technology, 41296, Gothenburg, Sweden

    Reiner Hähnle

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Ayad, A., Marché, C. (2010). Multi-Prover Verification of Floating-Point Programs . In: Giesl, J., Hähnle, R. (eds) Automated Reasoning. IJCAR 2010. Lecture Notes in Computer Science(), vol 6173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14203-1_11

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  • DOI: https://doi.org/10.1007/978-3-642-14203-1_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14202-4

  • Online ISBN: 978-3-642-14203-1

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