A Machine-Oriented Logic Based on the Resolution Principle
Journal of the ACM (JACM)
The Concept of Demodulation in Theorem Proving
Journal of the ACM (JACM)
Another Generalization of Resolution
Journal of the ACM (JACM)
Hyperparamodulation: A Refinement of Paramodulation
Proceedings of the 5th Conference on Automated Deduction
Automatic deduction and equality
ACM '79 Proceedings of the 1979 annual conference
Problems and Experiments for and with Automated Theorem-Proving Programs
IEEE Transactions on Computers
Resolution, Refinements, and Search Strategies: A Comparative Study
IEEE Transactions on Computers
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We present and analyse experimental results in the first extensive use of a theorem prover based on Resolution by Unification and Equality. Implicit use is made of equality axioms by the Inference rules RUE and NRF to achieve incisive refutations for E-unsatisfiability. Since a primary issue in automated deduction is the efficiancy of convergence to proof, we describe in detail the heuristics which were used to obtain proofs. A comparative tabulation with the results of McCharen, Overbeek and Wos, who used unification resolution, shows sharply reduced cumulative unification counts.