SPECFUN - 2015 - Annual activity report

SPECFUN

SPECFUN - 2015

Project-Team Specfun

Members

Overall Objectives

Scientific challenges, expected impact
Research axes

Research Program

Studying special functions by computer algebra
Trusted computer-algebra calculations
Machine-checked proofs of formalized mathematics

Highlights of the Year

New Software and Platforms

Coq
DynaMoW
ECS
Math-Components
Ring
Ssreflect

New Results

Integration of rational functions
Multiple binomial sums
Diagonals of rational functions and selected differential Galois groups
Algebraic Diagonals and Walks
A human proof of the Gessel conjecture
Enumeration of 3-dimensional lattice walks confined to the positive octant
Efficient algorithms for rational first integrals
Quasi-optimal computation of the $p$ -curvature
Axiomatic constraint systems for proof search modulo theories
DynaMoW: Dynamic Mathematics on the Web
ECS: Encyclopedia of Combinatorial Structures
Mathematical Components Library

Bilateral Contracts and Grants with Industry

Bilateral Contracts with Industry

Partnerships and Cooperations

National Initiatives
European Initiatives

Dissemination

Promoting Scientific Activities
Teaching - Supervision - Juries
Popularization

Bibliography

Publications of the year
References in notes

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Section: New Software and Platforms

Ring

Functional Description

Coq normalization tool and decision procedure for expressions in commutative ring theories. Implemented in Coq and OCaml. Integrated in the standard distribution of the Coq proof assistant since 2005.

Contact: Assia Mahboubi

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