Interpolation Theorems for Resolution in Lower Predicate Calculus
Journal of the ACM (JACM)
Automatic Theorem Proving with Built-in Theories Including Equality, Partial Ordering, and Sets
Journal of the ACM (JACM)
Automated Theorem-Proving for Theories with Simplifiers Commutativity, and Associativity
Journal of the ACM (JACM)
Hyperparamodulation: A Refinement of Paramodulation
Proceedings of the 5th Conference on Automated Deduction
Adding Dynamic Paramodulation to Rewrite Algorithms
Proceedings of the 5th Conference on Automated Deduction
Automatic transformations in the inference process
Automatic transformations in the inference process
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A technique for incorporating automatic transformations into processes such as the application of inference rules, subsumptlon, and demodulation provides a mechanism for improving search strategies for theorem proving problems arising from the field of program verification. The incorporation of automatic transformations into the inference process can later the search space for a given problem and is particularly useful for problems having "broad" rather than "deep" proofs. The technique can also be used to permit the generation of inferences that might otherwise be blocked and to build some commutatlvlty or associativity into the unification process. Appropriate choice of transformations and new literal clashing and unification algorithms for applying them showed significant improvement on several real problems according to several distinct criteria.