Embedding Circumscriptive Theories in General Disjunctive Programs
Chiaki Sakama and Katsumi Inoue
Proceedings of the 3rd International Conference on
Logic Programming and Nonmonotonic Reasoning (LPNMR'95),
Lecture Notes in Artificial Intelligence 928, pp. 344-357,
This paper presents a method of embedding circumscriptive theories in
general disjunctive programs. In a general disjunctive program,
negation as failure occurs not only in the body but in the head of a rule.
In this setting, minimized predicates of a circumscriptive theory
are specified using the negation in the body, while fixed and varying
predicates are expressed by the negation in the head.
Moreover, the translation implies a close relationship between
circumscription and abductive logic programming.
That is, fixed and varying predicates in a circumscriptive theory are also
viewed as abducible predicates in an abductive disjunctive program.
Our method of translating circumscription into logic programming is fairly
general compared with the existing approaches and exploits new
applications of logic programming for representing commonsense knowledge.
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