Polynomial invariants by linear algebra

Conference of 14th International Symposium on Automated Technology for Verification and Analysis, ATVA 2016 ; Conference Date: 17 October 2016 Through 20 October 2016; Conference Code:185289International audienceWe 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