Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadatas

https://hal-cea.archives-ouvertes.fr/cea-01808891
Contributor : Léna Le Roy <>
Submitted on : Wednesday, June 6, 2018 - 11:13:15 AM
Last modification on : Friday, July 10, 2020 - 7:58:55 AM

Links full text

Identifiers

Collections

Citation

S. 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⟩

Share

Metrics

Record views

109