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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Proving Equalities in a Commutative Ring Done Right in Coq
verfasst von : Benjamin Grégoire, Assia Mahboubi
Erschienen in: Theorem Proving in Higher Order Logics
Verlag: Springer Berlin Heidelberg
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We present a new implementation of a reflexive tactic which solves equalities in a ring structure inside the Coq system. The efficiency is improved to a point that we can now prove equalities that were previously beyond reach. A special care has been taken to implement efficient algorithms while keeping the complexity of the correctness proofs low. This leads to a single tool, with a single implementation, which can be addressed for a ring or for a semi-ring, abstract or not, using the Leibniz equality or a setoid equality. This example shows that such reflective methods can be effectively used in symbolic computation.