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Polynomial invariants by linear algebra

Abstract : We present in this paper a new technique for generating polynomial invariants, divided in two independent parts: a procedure that reduces polynomial assignments composed loops analysis to linear loops under certain hypotheses and a procedure for generating inductive invariants for linear loops. Both of these techniques have a polynomial complexity for a bounded number of variables and we guarantee the completeness of the technique for a bounded degree which we successfully implemented for C programs verification.
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Contributor : Léna Le Roy Connect in order to contact the contributor
Submitted on : Wednesday, June 6, 2018 - 11:13:15 AM
Last modification on : Thursday, February 17, 2022 - 10:08:05 AM

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S. De Oliveira, S. Bensalem, V. Prevosto. Polynomial invariants by linear algebra. Lecture Notes in Computer Science, Springer, 2016, 9938 LNCS, pp.479-494. ⟨10.1007/978-3-319-46520-3_30⟩. ⟨cea-01808891⟩



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