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  1. Proceedings of the 10th ASIC and 9th MKM international conference, and 17th Calculemus conference on Intelligent computer mathematics (AISC'10/MKM'10/Calculemus'10)
  2. Formal proof of SCHUR conjugate function
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The challenges of multivalued "Functions"
Some considerations on the usability of interactive provers
Against rigor
The dynamic dictionary of mathematical functions
Mechanized mathematics
Smart matching
A revisited perspective on symbolic mathematical computing and artificial intelligence
Formal proof of SCHUR conjugate function
Electronic geometry textbook: a geometric textbook knowledge management system
I-terms in ordered resolution and superposition calculi: retrieving lost completeness
Symbolic domain decomposition
An openmath content dictionary for tensor concepts
Structured formal development with quotient types in Isabelle/HOL
A formal quantifier elimination for algebraically closed fields
On duplication in mathematical repositories
Instantiation of SMT problems modulo integers
Computing in coq with infinite algebraic data structures
Adapting mathematical domain reasoners
On Krawtchouk transforms
Formally verified conditions for regularity of interval matrices
Integrating multiple sources to answer questions in algebraic topology
A mathematical model of the competition between acquired immunity and virus
Reducing expression size using rule-based integration
STEXIDE: an integrated development environment for STEX collections
Some notes upon "When does equal sat(T)?"
A unified formal description of arithmetic and set theoretical data types
Proofs, proofs, proofs, and proofs
How to correctly prune tropical trees
Dimensions of formality: a case study for MKM in software engineering
From matrix interpretations over the rationals to matrix interpretations over the naturals
Towards MKM in the large: modular representation and scalable software architecture
Automated reasoning and presentation support for formalizing mathematics in Mizar
The formulator MathML editor project: user-friendly authoring of content markup documents
Notations around the world: census and exploitation
Evidence algorithm and system for automated deduction: a retrospective view
On building a knowledge base for stability theory
Proviola: a tool for proof re-animation
A wiki for Mizar: motivation, considerations, and initial prototype

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Formal proof of SCHUR conjugate function

Content Provider ACM Digital Library
Author Butelle, Franck Hivert, Florent Mayero, Micaela Toumazet, Frédéric
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.
Starting Page 158
Ending Page 171
Page Count 14
ISBN 9783642141270
ISSN 03029743
Language English
Publisher Association for Computing Machinery (ACM)
Publisher Date 2010-07-05
Publisher Place Berlin, Heidelberg
Access Restriction Subscribed
Content Type Text
Resource Type Article
Subject Theoretical Computer Science Computer Science
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