Abstract
A sound and complete OR-parallel theorem prover for first order logic is presented, which is based on the connection method. The system PARTHEO consists of a network of uniform processes representing independently working sequential theorem provers. Each sequential prover, called SETHEO, is implemented using Prolog technology. This technology is also pursued in other systems, the most prominent being Stickel’s PTTP. But SETHEO differs from other approaches in some essential characteristics. It contains a powerful preprocessing part for a size reduction of the input formula. The main proof procedure is realized as a variant of Warren’s abstract machine. Additionally, the possibility is offered for factorization, lemma generation, and the application of proof schemata. The system is implemented in (parallel) C and running on a network of 17 transputers. The paper comprises the theoretical background, the system architecture as well as details of the implementation.
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Bayerl, S., Letz, R., Schumann, J. (1989). P A R T H E O: A Parallel Inference Machine. In: Brauer, W., Freksa, C. (eds) Wissensbasierte Systeme. Informatik-Fachberichte, vol 227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75182-0_51
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DOI: https://doi.org/10.1007/978-3-642-75182-0_51
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