Abstract
A previous work on Herbrand model construction is extended in two ways. The first extension increases the capabilities of the method, by extending one of its key rules. The second, more important one, defines a new method for simultaneous search of refutations and models for set of equational clauses. The essential properties of the new method are given. The main theoretical result of the paper is the characterization of conditions assuring that models can be built. Both methods (for equational and non equational clauses) have been implemented as an extension of OTTER. Several running examples are given, in particular a new automatic solution of the ternary algebra problem first solved by Winker.
The examples emphasize the unified approach to model building allowed by the ideas underlying our method and the usefulness of using constrained clauses. Several problems open by the present work are the main lines of future work.
This work has been partially supported by ESPRIT-BRA No 6471 “Medlar 2” and PRC-IA (MRE-CNRS, FRANCE)
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Bourely, C., Caferra, R., Peltier, N. (1994). A method for building models automatically. Experiments with an extension of OTTER. In: Bundy, A. (eds) Automated Deduction — CADE-12. CADE 1994. Lecture Notes in Computer Science, vol 814. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58156-1_6
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DOI: https://doi.org/10.1007/3-540-58156-1_6
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