In mathematics , a binary relation , R, is
well-founded (or wellfounded) on a class X if and only if every non- empty subset of X has a
Kaynak: Well-founded relationNon-
well-founded set theories are variants of axiomatic set theory that allow sets to contain themselves and otherwise violate the rule of
Kaynak: Non-well-founded set theoryWell-Founded Fear is a 2000 documentary film from directors Shari Robertson and Michael Camerini . "owing to a
well-founded fear of
Kaynak: Well-Founded Fear In logic programming , the
well-founded semantics is one definition of how we can make conclusions from a set of logical rules.
Kaynak: Well-founded semanticsZFC is intended to formalize a single primitive notion, that of a hereditary
well-founded set , so that all entities in the universe of
Kaynak: Zermelo–Fraenkel set theoryseveral standard approaches to the meaning of negation in logic programming, along with program completion and the
well-founded semantics .
Kaynak: Stable model semanticsTo satisfy this burden, an applicant must show that she has a
well-founded fear of persecution in her home country on account of either
Kaynak: Asylum in the United StatesMore generally, one can define objects by transfinite recursion on any
well-founded relation R. (R need not even be a set; it can be a
Kaynak: Transfinite inductionbranches of mathematics , the von Neumann universe, or von Neumann hierarchy of sets, denoted V, is the class of hereditary
well-founded set s.
Kaynak: Von Neumann universeMathematics at the University of Manchester He is known for his work in non-
well-founded set theory constructive set theory and Frege structures
Kaynak: Peter Aczelthe descending chain condition on a partially ordered set is equivalent to requiring that the corresponding strict order is
well-founded .
Kaynak: Infinite descending chainIn mathematics , specifically order theory , a
well-quasi-ordering or wqo is a
well-founded quasi-ordering with an additional restriction
Kaynak: Well-quasi-orderingHe made use of Peter Aczel 's non-
well-founded set theory in understanding "vicious circle s" of reasoning. Barwise, along with his former
Kaynak: Jon BarwiseIn science and statistics , validity is the extent to which a concept, conclusion or measurement is
well-founded and corresponds
Kaynak: Validity (statistics)