In mathematics, a finitary relation over a sequence of sets X1, ..., Xn is a subset of the Cartesian product X1 × ... × Xn; that is, it is a set of n-tuples...

of all lines in geometry), relations between three or more sets (finitary relation, like "person x lives in town y at time z"), and relations between...

term "relation" in its mathematical sense of a finitary relation, a set of tuples on some set of n sets S1,S2,....,Sn. Thus, an n-ary relation is interpreted...

In mathematics, a ternary relation or triadic relation is a finitary relation in which the number of places in the relation is three. Ternary relations...

formal logic: Predicate (mathematical logic) Propositional function Finitary relation, or n-ary predicate Boolean-valued function Syntactic predicate, in...

A finitary relation is a subset R ⊆ X1 × ... × Xn for some natural number n and arbitrary sets X1, ..., Xn, it is also called an n-ary relation. Michael...

viewed as an (n + 1)-ary relation that is unique on its output domain. The above describes what is usually called a finitary operation, referring to the...

reality or a physical system A finitary or n-ary relation is a set of n-tuples. Specific types of relations include: Relation (mathematics) (an elementary...

ratios of three proportions Ternary relation, a finitary relation in which the number of places in the relation is three Ternary operation, an operation...

existence of the Cartesian product) Direct product Empty product Finitary relation Join (SQL) § Cross join Orders on the Cartesian product of totally...

list f(0), f(1), ... will include every element of B. Because each finitary relation on the natural numbers can be identified with a corresponding set...

Mathematical relation Finitary relation Antisymmetric relation Asymmetric relation Bijection Bijection, injection and surjection Binary relation Composition...

dilemma -- False equivalence -- False premise -- Fictionalism -- Finitary relation -- Finite model property -- First-order logic -- First-order predicate...

algebraic closure is also a finitary closure operator, and in general it is different from the operator mentioned before. Finitary closure operators that generalize...

outputs for a function, subroutine or method Univariate and multivariate Finitary Hazewinkel, Michiel (2001). Encyclopaedia of Mathematics, Supplement III...

complete. Notions of compactness and completeness that are equivalent in finitary logic sometimes are not so in infinitary logics. Therefore for infinitary...

Set hereditary Class (Ur-)Element Ordinal number Extensionality Forcing Relation equivalence partition Set operations: intersection union complement Cartesian...

in the sense that it relates to all types of algebraic structure (with finitary operations). It also has a formulation in terms of category theory, although...

Mathematics. The central idea of this program was that if we could give finitary proofs of consistency for all the sophisticated formal theories needed...

algebra of sets concerned with operations over finitary relations Relation (mathematics) such as binary relation, a collection of ordered pairs of elements...

model theory, a structure consists of a set along with a collection of finitary operations and relations that are defined on it. Universal algebra studies...

rings is unitary if all the uninterpreted function symbols are nullary and finitary otherwise (i.e. if the function symbols not occurring in the signature...

what he described is just a finitary closure operator on a set (the set of sentences). In abstract algebraic logic, finitary closure operators are still...

hierarchy can be defined on all finitary relations on the natural numbers; the following definition is used. Every computable relation is defined to be Σ 0 0 =...

of finitary operations on a set A such that C contains all the projections πkn: An → A, defined by πkn(x1, …, xn) = xk, C is closed under (finitary multiple)...

development of mathematical proof theory was driven by the desire to provide finitary consistency proofs for all of mathematics as part of Hilbert's program...

consistency, but there is debate over whether or not they are sufficiently finitary to be meaningful. Gödel's second incompleteness theorem establishes that...

is precisely the standard definition of function composition. A set of finitary operations on some base set X is called a clone if it contains all projections...

See syllogistic figure. finitary Pertaining to methods or processes that involve a finite number of steps or elements. finitary arithmetic An approach...

BIT predicate. The Ackermann coding can be used to construct a model of finitary set theory in the natural numbers. More precisely, ( N , BIT ⊤ ) {\displaystyle...