A Tactic For Setoid CongruencePublic
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The congruence tactic built into the Coq proof management system allows for solving entailment of closed equalities with uninterpreted function symbols. In this project we build a congruence tactic that works with multiple relations. My theoretical contribution is to describe a translation from entailments in a generalized form of congruence into the traditional form that existing algorithms can solve. The tactic makes use of this transformation, as well as an implementation of congruence closure, to solve Coq goals involving multiple relations.
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