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On the Equivalence between Disjunctive and Abductive Logic Programs

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Chiaki Sakama and Katsumi Inoue

* Proceedings of the 11th International Conference on
Logic Programming (ICLP'94), pp. 489-503, MIT Press, 1994.
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## Abstract

This paper presents the equivalence relationship
between disjunctive and abductive logic
programs. We show that the generalized stable model semantics of abductive
logic programs can be translated into the possible model semantics of
disjunctive programs, and vice versa.
It is also proved that abductive disjunctive programs can be expressed
by abductive logic programs under the possible model semantics.
Furthermore, when considering the disjunctive stable model semantics
instead of the possible model semantics,
it is unlikely that disjunctive programs can be efficiently expressed
in terms of the generalized stable model semantics.
The results of this paper reveal that disjunctive programs and
abductive logic programs are just different ways of looking at the same
problem if we choose the appropriate semantics.

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