A Resolution Calculus for First-Order Schemata
Résumé
We devise a resolution calculus that tests the satisfiability of infinite families of clause sets, called clause set schemata. For schemata of propositional clause sets, we prove that this calculus is sound, refutationally complete, and terminating. The calculus is extended to first-order clauses, for which termination is lost, since the satisfiability problem is not semi-decidable for non-propositional schemata. The expressive power of the considered logic is strictly greater than the one considered in our previous work.