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@misc{cogprints466, volume = {85}, number = {1}, month = {July}, author = {Mujdat Pakkan and Varol Akman}, title = {HYPERSOLVER: A Graphical Tool for Commonsense Set Theory}, journal = {Information Sciences: An International Journal}, pages = {43--61}, year = {1995}, keywords = {ZF (Zermelo-Fraenkel) set theory, nonwellfounded sets (hypersets), AFA (anti-foundation axiom), the Solution Lemma, situation theory, HYPERSOLVER, Conway paradox.}, url = {http://cogprints.org/466/}, abstract = {This paper investigates an alternative set theory (due to Peter Aczel) called 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.} }