Connecting Gröbner bases programs with Coq to do proofs in algebra, geometry and arithmetics

by Loïc Pottier , Inria Sophia Antipolis
Citations:2 - 0 self

Documents Related by Co-Citation

10 A machine-checked implementation of buchberger’s algorithm – L Théry
2 Primality Proving with Elliptic Curves – Laurent Théry, Guillaume Hanrot, Thème Sym, Laurent Théry, Guillaume Hanrot
1 Dependent Types, Theorem Proving, and Applications for a Verifying Compiler – Yves Bertot, Laurent Théry - 2005
2 Certified exact real arithmetic using co-induction in arbitrary integer base – Nicolas Julien, Inria Sophia Antipolis
1 Proofs for freshmen with Coqweb – J BLANC, J GIACOMETTI, A HIRSCHOWITZ, L POTTIER
1 Arithmétique réelle exacte certifiée, co-induction et base arbitraire, in "Journées francophones pour les langages applicatifs, JFLA’07 – N JULIEN - 2007
1 A Formal Verification for Kantorovitch’s Theorem, in "Journées Francophones des Langages Applicatifs", to appear – I PA ¸SCA - 2008
1 Types, Logique et Coercions Implicites, in "Journées Francophones des Langages Applicatifs", to appear – C ROUX - 2008
1 A Short Presentation of Coq, in "Theorem Proving in Higher Order Logics – Y BERTOT
1 Revisiting the Mini-Rubik in Coq – Proof Pearl - 2008
12 A modular formalisation of finite group theory – Georges Gonthier, Assia Mahboubi, Laurence Rideau, Enrico Tassi, Laurent Théry - 2007
7 I.: Canonical big operators – Y Bertot, G Gonthier, S O Biha, Pasca
3 Formalisation des mathématiques : une preuve du théorème de Cayley-Hamilton – Sidi Ould Biha
5 Tilting at windmills with Coq: Formal verification of a compilation algorithm for parallel moves – L Rideau, B P Serpette, X Leroy
2 Inductive and coinductive components of corecursive functions in Coq – Y Bertot, E Komendantskaya
5 Fixed point semantics and partial recursion in Coq – Yves Bertot, Vladimir Komendantsky - 2008
340 Interactive theorem proving and program development. Coq’Art: The calculus of inductive constructions – Y Bertot, P Castéran - 2004
635 publications by the team in recent years – Major
27 On the Decision Problem and the Mechanization of Theorem Proving in Elementary Geometry – Wen-Tsün Wu - 1978