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Polynomial invariants by linear algebra

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.

preprint2016arXivOpen access
Steven de OliveiraSaddek BensalemVirgile Prevosto
Logic in Computer Science
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Steven de OliveiraSaddek BensalemVirgile Prevosto

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