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Program Verification by Reduction to Semi-algebraic Systems Solving

  • Conference paper
Leveraging Applications of Formal Methods, Verification and Validation (ISoLA 2008)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 17))

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Abstract

The discovery of invariants and ranking functions plays a central role in program verification. In our previous work, we investigated invariant generation and non-linear ranking function discovering of polynomial programs by reduction to semi-algebraic systems solving. In this paper we will first summarize our results on the two topics and then show how to generalize the approach to discovering more expressive invariants and ranking functions, and applying to more general programs.

This work is supported in part by NKBRPC-2002cb312200, NKBRPC-2004CB318003, NSFC-60493200, NSFC-60721061, NSFC-60573007, NSFC-90718041, and NSFC-60736017 and NKBRPC-2005CB321902.

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Author information

Authors and Affiliations

  1. LMAM & School of Mathematical Sciences, Peking University, China

    Bican Xia

  2. Shanghai Key Lab. of Trustworthy Computing, East China Normal University, China

    Lu Yang

  3. Lab. of Computer Science, Institute of Software, Chinese Academy of Sciences, China

    Naijun Zhan

Authors
  1. Bican Xia
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  2. Lu Yang
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  3. Naijun Zhan
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Editor information

Editors and Affiliations

  1. Universität Potsdam, August-Bebel-Str. 89, 14482, Potsdam, Germany

    Tiziana Margaria

  2. Technische Universität Dortmund, Otto-Hahn-Str. 14, 44227, Dortmund, Germany

    Bernhard Steffen

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Xia, B., Yang, L., Zhan, N. (2008). Program Verification by Reduction to Semi-algebraic Systems Solving. In: Margaria, T., Steffen, B. (eds) Leveraging Applications of Formal Methods, Verification and Validation. ISoLA 2008. Communications in Computer and Information Science, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88479-8_20

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  • DOI: https://doi.org/10.1007/978-3-540-88479-8_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88478-1

  • Online ISBN: 978-3-540-88479-8

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