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Simple and Precise Widenings for H-Polyhedra

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Programming Languages and Systems (APLAS 2010)

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Abstract

While the definition of the revised widening for polyhedra is defined in terms of inequalities, most implementations use the double description method as a means to an efficient implementation. We show how standard widening can be implemented in a simple and efficient way using a normalized H-representation (constraint-only) which has become popular in recent approximations to polyhedral analysis. We then detail a novel heuristic for this representation that is tuned to capture linear transformations of the state space while ensuring quick convergence for non-linear transformations for which no precise linear invariants exist.

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Simon, A., Chen, L. (2010). Simple and Precise Widenings for H-Polyhedra. In: Ueda, K. (eds) Programming Languages and Systems. APLAS 2010. Lecture Notes in Computer Science, vol 6461. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17164-2_11

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  • DOI: https://doi.org/10.1007/978-3-642-17164-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17163-5

  • Online ISBN: 978-3-642-17164-2

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