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Theorem proving based on the extension rule is a new reasoning method. Based on the extension rule algorithm RIER, this paper presents a more efficient algorithm HRIER, which uses the heuristic strategy to guide the choosing of restricted searching space. The experiment results show HRIER improves the efficiency a lot, meanwhile it keeps the essence characteristic of extension rule method, namely...
Theorem proving based on the extension rule is a new reasoning method. It is, in a sense, potentially a complementary method to resolution based method. HRIER is a very fast extension rule algorithm with reduction rules and heuristic function. DR is a fast ordering-based restricted resolution method in proposition logic. In order to make best use of the respective characteristic of the extension rule...
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