Browsing by Subject "Commonsense set theory"
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Item Open Access Hypersolver: a graphical tool for commonsense set theory(Elsevier, 1995) Pakkan, M.; Akman, V.This paper investigates an alternative set theory (due to Aczel) called the Hyperset Theory. Aczel uses a graphical representation for sets and thereby allows the representation of non-well-founded sets. A program, called hypersolver, which can solve systems of equations defined in terms of sets in the universe of this new theory is presented. This may be a useful tool for commonsense reasoning. © 1995.Item Open Access Issues in commonsense set theory(Springer/Kluwer Academic Publishers, 1994) Pakkan, M.; Akman, V.The success of set theory as a foundation for mathematics inspires its use in artificial intelligence, particularly in commonsense reasoning. In this survey, we briefly review classical set theory from an AI perspective, and then consider alternative set theories. Desirable properties of a possible commonsense set theory are investigated, treating different aspects like cumulative hierarchy, self-reference, cardinality, etc. Assorted examples from the ground-breaking research on the subject are also given. © 1995 Kluwer Academic Publishers.