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Method based on extension rule is a new method for theorem proving, whether or not it will behave well in theorem proving depends on the efficiency. Moreover, the efficiency of propositional extension rule will affect that of first order extension rule directly. Thus the efficiency of the propositional extension rule is very important. ER and IER are two extension rule methods Lin gave. We have improved...
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...
The extension rule (ER) is a new method for theorem proving, which is potentially a complementary method to resolution-based methods. But the first-order ER method is incomplete. We improve the first-order ER approach by (a) revise the definition of the potential blockage, give a complete first-order ER algorithm, (b) increasing the case M-satisfiability by giving a bound M, so as to make the ER method...
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