ELAN for equational reasoning in Coq
Identifieur interne : 00A109 ( Main/Merge ); précédent : 00A108; suivant : 00A110ELAN for equational reasoning in Coq
Auteurs : Quang-Huy Nguyen ; Cuihtlauac AlvaradoSource :
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Abstract
We describe an interface between \textsf{Coq}, an interactive theorem-prover based on type theory and \textsf{ELAN}, an automated deduction system based on rewriting logic. Our objective is to provide efficient tools to implement decision procedures using equational reasoning in \textsf{Coq}. \textsf{ELAN} is used as a rewrite engine. Reflection is used in \textsf{Coq} to translate back the delegated rewrite computations. A rewriting trace is returned from \textsf{ELAN} and replayed in \textsf{Coq}. Correctness is ensured by this replaying which builds a complete proof-term.
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