Abstract

We prove constructively that for any propositional formula ?in Conjunctive Normal Form, we can either find a satisfying assignment of true and false to its variables, or a refutation of ?showing that it is unsatisfiable. This refutation is a resolution proof of ¬?. From the formalization of our proof in Coq, we extract Robinson's famous resolution algorithm as a Haskell program correct by construction. The account is an example of the genre of highly readable formalized mathematics.

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