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AISC
2010
Springer

Formal Proof of SCHUR Conjugate Function

10 years 7 months ago
Formal Proof of SCHUR Conjugate Function
Abstract. 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.
Franck Butelle, Florent Hivert, Micaela Mayero, Fr
Added 18 Jul 2010
Updated 18 Jul 2010
Type Conference
Year 2010
Where AISC
Authors Franck Butelle, Florent Hivert, Micaela Mayero, Frédéric Toumazet
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