Semantical considerations on nonmonotonic logic
Artificial Intelligence
Closed-world databases and circumscription
Artificial Intelligence
Applications of circumscription to formalizing common-sense knowledge
Artificial Intelligence
Nonmonotonic Logic II: Nonmonotonic Modal Theories
Journal of the ACM (JACM)
Embedding nonground logic programs into autoepistemic logic for knowledge-base combination
ACM Transactions on Computational Logic (TOCL)
On the minimality of stable models
Logic programming, knowledge representation, and nonmonotonic reasoning
Fuzzy autoepistemic logic: reflecting about knowledge of truth degrees
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
To vladimir lifschitz on his 65th birthday
Correct Reasoning
Semantics For Disjunctive Logic Programs With Explicit And Default Negation
Fundamenta Informaticae
RW'13 Proceedings of the 9th international conference on Reasoning Web: semantic technologies for intelligent data access
Fuzzy autoepistemic logic and its relation to fuzzy answer set programming
Fuzzy Sets and Systems
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In this paper we investigate some properties of "autoepistemic logic" approach to the formalization of common sense reasoning suggested by R. Moore in [Moore, 1985]. In particular we present a class of autoepistemic theories (called stratified autoepistemic theories) and prove that theories from this class have unique stable autoepistemic expansions and hence a clear notion of "theoremhood". These results are used to establish the relationship of Autoepistemic Logic with other formalizations of non-monotonic reasoning, such as negation as failure rule and circumscription. It is also shown that "classical" SLDNF resolution of Prolog can be used as a deductive mechanism for a rather broad class of autoepistemic theories. Key words and phrases: common sense reasoning, autoepistemic logic, negation as failure rule, non-monotonic reasoning. (Science section).