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Topic: Binary predicate

	Relation
		See relation (mathematics), binary relation (of set theory and logic) and relational algebra.
		In relational modeling, a relation is a set of tuples, otherwise known as a table.
		In logic and philosophy, a relation is a two-argument property or predicate.
	www.brainyencyclopedia.com /encyclopedia/r/re/relation.html (153 words)

	First-order logic - Wikipedia, the free encyclopedia
		It is important to note that the predicate calculus can be formalized in many equivalent ways; there is nothing canonical about the axioms and rules of inference given here, but any formalization will yield the same theorems of logic (and deduce the same theorems from any set of non-logical axioms).
		The inference rule called Universal Generalization is characteristic of the predicate calculus.
		The predicate calculus is an extension of the propositional calculus that defines which statements of first order logic are provable.
	en.wikipedia.org /wiki/First-order_predicate_calculus (3219 words)

	Prolog - Facts, Information, and Encyclopedia Reference article
		Prolog is based on first-order predicate calculus; however it is restricted to allow only Horn clauses.
		Some predicates are built into the language, and allow a Prolog program to perform routine activities (such as input/output, using graphics and otherwise communicating with the operating system).
		We use a binary predicate which takes the input list as its first argument and what ever rest we get after the parse is complete (the rest should be [] if parse was successful).
	www.startsurfing.com /encyclopedia/p/r/o/Prolog.html (2563 words)

	SEP: Classical Logic
		Two-place predicate letters, "binary predicate letters", correspond to linguistic items denoting binary relations, like "is a parent of" or "is greater than".
		Since P is an n-place predicate letter, by the policy that the predicate letters are distinct, P is not an m-place predicate letter for any m ≠ n.
		Thus, the first symbol in θ must be either a predicate letter, a term, a unary marker, or a left parenthesis.
	plato.stanford.edu /entries/logic-classical (11911 words)

	Abstracts of Joseph Y. Halpern's Publications
		Assertions involving only formulas of first-order predicate calculus are proved capable of defining program scheme semantics, and effective axiom systems for deriving such assertions are described.
		As shown in by Liogonkii and in a companion paper), in the general case, asymptotic conditional probabilities do not always exist, and most questions relating to this issue are highly undecidable.
		As shown by Liogonkii, if there is a non-unary predicate symbol in the vocabulary, asymptotic conditional probabilities do not always exist.
	www.cs.cornell.edu /home/halpern/abstract.html (17981 words)

	Making topic maps more colourful
		The most important relations – in the mathematical sense – are the binary relations.
		Definition: A binary relation between the sets A and B is: every subset R of A × B (R ⊆ A × B).
		Definition: A binary relation in M is: a binary relation R with A = B = M, thus R ⊆ M × M.
	www.gca.org /papers/xmleurope2000/papers/s29-01.html (5405 words)

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