Formal Proof of SCHUR Conjugate Function

  • Franck Butelle
  • Florent Hivert
  • Micaela Mayero
  • Frédéric Toumazet
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6167)


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.


Symmetric Function Formal Proof Conjugate Function Proof Assistant Automate Theorem Prover 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Franck Butelle
    • 1
  • Florent Hivert
    • 2
  • Micaela Mayero
    • 1
    • 3
  • Frédéric Toumazet
    • 4
  1. 1.LIPN UMR 7030Université Paris 13Villetaneuse
  2. 2.LITIS EA 4108Université de Rouen
  3. 3.LIP, INRIA Grenoble - Rhône-AlpesUMR 5668, UCBL, ENS LyonLyon
  4. 4.LIGM UMR 8049Université de Marne-la-ValléeChamps sur Marne

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