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The Completeness of Propositional Resolution: A Simple and Constructive<br> Proof

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 نشر من قبل Jean Gallier
 تاريخ النشر 2006
  مجال البحث الهندسة المعلوماتية
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 تأليف Jean Gallier




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It is well known that the resolution method (for propositional logic) is complete. However, completeness proofs found in the literature use an argument by contradiction showing that if a set of clauses is unsatisfiable, then it must have a resolution refutation. As a consequence, none of these proofs actually gives an algorithm for producing a resolution refutation from an unsatisfiable set of clauses. In this note, we give a simple and constructive proof of the completeness of propositional resolution which consists of an algorithm together with a proof of its correctness.

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