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We survey some basic issues in first-order theorem proving and their implications for conditional term-rewriting systems. In particular, we discuss the propositional efficiency of theorem proving strategies, goal-sensitivity, and the use of semantics. We give several recommendations for theorem proving strategies to enable them to properly treat these issues. Although few current theorem provers implement...
Hyper-linking is an instance-based refutation theorem proving strategy for first-order logic, recently developed by Lee and Plaisted[4]. An implementation of hyper-linking is the theorem prover CLIN[3]. We extend hyper-linking to support equality by using Brand's E-modification[1]. We discuss how term rewriting is added to improve performance. We describe a number of other improvements, both in support...
Hyper-linking is an instance-based automated theorem proving strategy that uses unification to generate instances of the input clauses. Lee implemented hyper-linking in the automated theorem prover CLIN, which uses a breadth-first strategy for generating instances of clauses via the hyper-link operation. In attempting to add equality support to CLIN, a number of inefficiencies with Lee's breadth-first...
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