Abstract
We present two inference control heuristics for equational deduction that are based on the evaluation of previous successful proof attempts in domains of interest. The first evaluation function works by symbolic retrieval of generalized patterns from a knowledge base, and the second function compiles the knowledge into abstract term evaluation trees. Both heuristics have been implemented into the distributed equational proof system DISCOUNT. We analyze the performance of the heuristics on several sets of examples (including the subset of all unit-equality problems from the TPTP collection) and demonstrate their usefulness.
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