Issue No. 08 - August (1976 vol. 25)
P.B. Andrews , Carnegie-Mellon University
Occurrences of literals in the initial clauses of a refutation by resolution (with each clause-occurrence used only once) are mated iff their descendants are resolved with each other. This leads to an abstract notion of a mating as a relation between: occurrences of literals in a set of clause-occurrences. The existence of many refutations with the same mating leads to wasteful redundancy in the search for a refutation, so it is natural to focus on the essential problem of finding appropriate matings.
Automatic theorem proving, clause-occurrence, cycle, first-order logic, mating, merge, refutation, resolution, unsatisfiability.
P. Andrews, "Refutations by Matings," in IEEE Transactions on Computers, vol. 25, no. , pp. 801-807, 1976.