Formal Proof of SCHUR Conjugate Function - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2010

Formal Proof of SCHUR Conjugate Function

Résumé

The main goal of our work is to formally prove the correctness of the key commands of the SCHUR software, an interactive program for calculating with characters of Lie groups and symmetric functions. The core of the computations relies on enumeration and manipulation of combinatorial structures. As a first "proof of concept", we present a formal proof of the conjugate function, written in C. This function computes the conjugate of an integer partition. To formally prove this program, we use the Frama-C software. It allows us to annotate C functions and to generate proof obligations, which are proved using several automated theorem provers. In this paper, we also draw on methodology, discussing on how to formally prove this kind of program.

Dates et versions

hal-00477574 , version 1 (29-04-2010)

Identifiants

Citer

Franck Butelle, Florent Hivert, Micaela Mayero, Frédéric Toumazet. Formal Proof of SCHUR Conjugate Function. CALCULEMUS 2010, Jul 2010, Paris, France. pp.158-171, ⟨10.1007/978-3-642-14128-7⟩. ⟨hal-00477574⟩
347 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More