Abstract
This paper presents a framework of intelligent reasoning systems. It is based on a logic programming system called VALPSN (vector annotated logic program with strong negation) and its stable model computing system. We introduce an overview of the framework and describe the three kinds of nonmonotonic theories-default theory, defeasible theory, and default fuzzy theory-that can be translated into VALPSNs. We also show that these three kinds of nonmonotonic reasoning can be achieved by computing the stable models of the VALPSNs.
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