@MISC{Melis98analogyin, author = {Erica Melis and Jon Whittle}, title = {Analogy in Inductive Theorem Proving}, year = {1998} }

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Abstract

This paper investigates analogy-driven proof plan construction in inductive theorem proving. We identify constraints of secondorder mappings that enable a replay of the plan of a source theorem to produce a similar plan for the target theorem. In some cases, differences between the source and target theorem mean that the target proof plan has to be reformulated. These reformulations are suggested by the mappings. The analogy procedure, implemented in ABALONE, is particularly useful for overriding the default control and suggesting lemmas. Employing analogy has extended the problem solving horizon of the proof planner CLAM : with analogy, some theorems could be proved that neither CLAM nor NQTHM could prove automatically.