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Section: Software and Platforms
Ring
(2004–): Coq normalization tool and decision procedure for expressions in commutative ring theories. Written in Coq and OCaml. Integrated in the standard distribution of the Coq proof assistant since 2005.
Research Program
Application Domains
New Results
- Creative telescoping for bivariate hyperexponential functions
- Creative telescoping for rational functions
- Complexity of the uncoupling of linear functional systems
- Computation of integrals related to the Ising model
- Non-D-finite excursions in the quarter plane
- A human proof of Gessel's lattice path conjecture
- Efficient algorithms for rational first integrals
- Reactive document checking in Coq
- Efficient normalization of ring/field expressions in Coq
- Documentation of Coq's canonical structures
- Maintenance and development of the SSReflect extension for Coq and its user manual
- Efficient proof-search techniques in sequent calculus
- A formal proof of the irrationality
of
ζ ( 3 ) - Documentation of the Mathematical Components libraries
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
Bibliography