An Analysis of Permutations in Arrays

Valentin Perrelle (1) , Nicolas Halbwachs (1)

1 VERIMAG - IMAG - VERIMAG

This paper is concerned with the synthesis of invariants in programs with arrays. More specifically, we consider properties concerning array contents up to a permutation. For instance, to prove a sorting procedure, one has to show that the result is sorted, but also that it is a permutation of the initial array. In order to analyze this kind of properties, we define an abstract interpretation working on multisets of values, and able to discover invariant equations about such multisets.

Mots clés: static analysis; abstract interpretation; array analysis; multisets; permutation invariant properties

Domaines: Algorithme et structure de données [cs.DS]

Valentin Perrelle, Nicolas Halbwachs. An Analysis of Permutations in Arrays. Verification, Model Checking, and Abstract Interpretation, Jan 2010, Madrid, Spain. pp.279-294, ⟨10.1007/978-3-642-11319-2_21⟩. ⟨hal-00456558⟩