n-ary predicate
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Kleene's T predicate — In computability theory, the T predicate, first studied by mathematician Stephen Cole Kleene, is a particular set of triples of natural numbers that is used to represent computable functions within formal theories of arithmetic. Informally, the T … Wikipedia
Extension (predicate logic) — The extension of a predicatendasha truth valued functionndashis the set of tuples of values that, used as arguments, satisfy the predicate. Such a set of tuples is a relation.For example the statement d2 is the weekday following d1 can be seen as … Wikipedia
First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… … Wikipedia
Interpretation (logic) — An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer science are defined in solely syntactic terms, and as such do not have any meaning until … Wikipedia
Ground expression — In mathematical logic, a ground term of a formal system is a term that does not contain any variables at all, and a closed term is a term that has no free variables. In first order logic all closed terms are ground terms, but in lambda calculus… … Wikipedia
Atomic formula — In mathematical logic, an atomic formula (also known simply as an atom) is a formula with no deeper propositional structure, that is, a formula that contains no logical connectives or equivalently a formula that has no strict subformulas. Atoms… … Wikipedia
Theory of relations — This article is about the theory of relations with regard to its specifically combinatorial aspects. For a general discussion of the basic definitions, see Binary relation and Finitary relation. The theory of relations treats the subject matter… … Wikipedia
Original proof of Gödel's completeness theorem — The proof of Gödel s completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a rewritten version of the dissertation, published as an article in 1930) is not easy to read today; it uses concepts and formalism that are… … Wikipedia
Cumulativity — In linguistic semantics, an expression X is said to have cumulative reference if and only if the following holds: If X is true of both of a and b, then it is also true of the combination of a and b. Example: If two separate entities can be said… … Wikipedia
Concrete category — In mathematics, a concrete category is a category that is equipped with a faithful functor to the category of sets. This functor makes it possible to think of the objects of the category as sets with additional structure, and of its morphisms as… … Wikipedia
IDEF1X — IDEFIX ( Integration Definition for Information Modeling ) is a data modeling language for the developing of semantic data models. IDEF1X is used to produce a graphical information model which represents the structure and semantics of information … Wikipedia
