Abstract
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 strategy for generating instances were encountered. An alternative depth-first strategy, referred to as smallest-instance-first hyper-linking, for generating instances via the hyper-link operation was developed to address these inefficiencies. Smallest-instance-first hyper-linking is implemented in the automated theorem prover CLIN-E.
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Alexander, G.D. CLIN-E - Smallest Instance First Hyper-Linking. Journal of Automated Reasoning 18, 177–182 (1997). https://doi.org/10.1023/A:1005818927764
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DOI: https://doi.org/10.1023/A:1005818927764