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A Generalized Hyperparamodulation Strategy Based on a Forward Reasoning for the Equality Relation ; RHU- resolution*
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  • A Generalized Hyperparamodulation Strategy Based on a Forward Reasoning for the Equality Relation ; RHU- resolution*
저자명
이진형,임영환,오길록,Lee. Jin-Hyeong,Im. Yeong-Hwan,O. Gil-Rok
간행물명
전자통신
권/호정보
1987년|9권 1호|pp.84-96 (13 pages)
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한국전자통신연구원
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

The equality relation is very important in mechanical theorem proving procedures. A proposed inference rule called RHU-resolution is intended to extend the hyperparamodulation[23, 9] by introducing a bidirectional proof search that simultaneously employs a forward reasoning and a backward reasoning, and generalize it by incorporating beneflts of extended hyper steps with a preprocessing process, that includes a subsumption check in an equality graph and a high level planning. The forward reasoning in RHU-resolution may replace the role of the function substitution link.[9] That is, RHU-deduction without the function substitution link gets a proof. In order to control explosive generation of positive equalities by the forward reasoning, we haue put some restrictions on input clauses and k-pd links, and also have included a control strategy for a positive-positive linkage, like the set-of-support concept, A linking path between two end terms can be found by simple checking of linked unifiability using the concept of a linked unification. We tried to prevent redundant resolvents from generating by preprocessing using a subsumption check in the subsumption based eauality graph(SPD-Graph)so that the search space for possible RHU-resolution may be reduced.