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Section: New Results
Documentation of the Mathematical Components libraries
The approach to finite-group theory adopted in the libraries formalizing in Coq the proof of the Odd Order Theorem has been documented in [5] .
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