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Master Thesis

Generation of polynomial inequalities as invariants

Abstract : Embedded software in critical systems rise a need for software analysis, especially for guaranteeing safety properties. In the late seventies, Cousot & Cousot introduced a general framework, called abstract interpretation, dedicated to the conception of particular analyses: static analyses. Among the program properties of interest, discovering algebraic relationships between variables allows for proving the lack of run-time errors. While the inference of linear relationships is e fficiently solved, computing polynomial equalities as invariants is still a challenge, a fortiori is the inequality counterpart. After a brief overview of existing techniques for invariant inference, this report investigates the viability of a constraint-based method dedicated to the inference of polynomial inequalities as program invariants.
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Submitted on : Wednesday, August 28, 2013 - 11:25:59 AM
Last modification on : Tuesday, October 19, 2021 - 11:58:53 PM
Long-term archiving on: : Monday, December 2, 2013 - 8:49:15 AM


  • HAL Id : dumas-00854834, version 1


Yannick Zakowski. Generation of polynomial inequalities as invariants. Symbolic Computation [cs.SC]. 2013. ⟨dumas-00854834⟩



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