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Precise Relational Invariants Through Strategy Iteration

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Computer Science Logic (CSL 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4646))

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Abstract

We present a practical algorithm for computing exact least solutions of systems of equations over the rationals with addition, multiplication with positive constants, minimum and maximum. The algorithm is based on strategy improvement combined with solving linear programming problems for each selected strategy. We apply our technique to compute the abstract least fixpoint semantics of affine programs over the relational template constraint matrix domain [20]. In particular, we thus obtain practical algorithms for computing the abstract least fixpoint semantics over the zone and octagon abstract domain.

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Authors and Affiliations

  1. TU München, Institut für Informatik, I2, 85748 München, Germany

    Thomas Gawlitza & Helmut Seidl

Authors
  1. Thomas Gawlitza
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  2. Helmut Seidl
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Jacques Duparc Thomas A. Henzinger

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Gawlitza, T., Seidl, H. (2007). Precise Relational Invariants Through Strategy Iteration. In: Duparc, J., Henzinger, T.A. (eds) Computer Science Logic. CSL 2007. Lecture Notes in Computer Science, vol 4646. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74915-8_6

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  • DOI: https://doi.org/10.1007/978-3-540-74915-8_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74914-1

  • Online ISBN: 978-3-540-74915-8

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