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CADE
2003
Springer
14 years 6 months ago
Proof Search and Proof Check for Equational and Inductive Theorems
This paper presents on-going researches on theoretical and practical issues of combining rewriting based automated theorem proving and user-guided proof development, with the stron...
Eric Deplagne, Claude Kirchner, Hélè...
CSL
2010
Springer
13 years 7 months ago
Embedding Deduction Modulo into a Prover
Deduction modulo consists in presenting a theory through rewrite rules to support automatic and interactive proof search. It induces proof search methods based on narrowing, such a...
Guillaume Burel
LFCS
2007
Springer
14 years 18 days ago
Cut Elimination in Deduction Modulo by Abstract Completion
act Completion (Full Version) Guillaume Burel Claude Kirchner August 6, 2007 Deduction Modulo implements Poincar´e’s principle by identifying deduction and computation as diff...
Guillaume Burel, Claude Kirchner
RTA
2005
Springer
13 years 12 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
TLCA
2007
Springer
14 years 17 days ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Denis Cousineau 0002, Gilles Dowek