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沈一栋 《中国科学E辑(英文版)》1997,40(1):44-53
In common sense reasoning with incomplete knowledge bases, conclusions are made by defaultHowever, it is observed that when the negation-by-default operator not is defined as not provable , the disjunctive logic program { a V b, not a, not b} should be consistent because a being not provable and b being nor provable does not imply a V b being riot provable. Such an observation is significant for non-monotonic reasoning, but none of the major current semantics for disjunctive logic programs is able to support it because they are all based on classical first-order logic in which assuming not a and not b implies assuming no: (a V b) A new first-order logic (disjunctive logic ) is developed that fully complies with this observation and new semantics for disjunctive logic programs are established This theory is able to formalize and solve some paradoxical problems, such as the lottery paradox 相似文献
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应明生 《中国科学E辑(英文版)》2000,43(5)
We give two generalizations of Tarski's fixpoint theorem in the setting of residuated lattices and use them to establish van Emdem-Kowalski's least fixpoint semantics for residuated lattice-valued logic programs. 相似文献
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