Polyadic algebras (more recently called Halmos algebras) are algebraic structures introduced by Paul Halmos. They are related to first-order logic analogous...

quantification and equality. They differ from polyadic algebras in that the latter do not model equality. The cylindric algebra should not be confused with the measure...

Boolean algebras form a variety. They are to monadic predicate logic what Boolean algebras are to propositional logic, and what polyadic algebras are to...

Cylindric algebra, by Alfred Tarski, et al.; Polyadic algebra, by Paul Halmos; Predicate functor logic, primarily by Willard Quine. These algebras are all...

term dyadic to related terms triadic, tetradic and polyadic. Kronecker product Bivector Polyadic algebra Unit vector Multivector Differential form Quaternions...

1962 Algebraic Logic, Halmos devised polyadic algebras, an algebraic version of first-order logic differing from the better known cylindric algebras of...

In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure that resembles a group in the sense that "division" is always possible...

different from what is now meant by a tensor. Gibbs introduced dyadics and polyadic algebra, which are also tensors in the modern sense. The contemporary usage...

arithmetic;[citation needed] Cylindric algebra, devised by Alfred Tarski, Leon Henkin, and others; The polyadic algebra of Paul Halmos. The two most common...

Carol cooperate. are said to involve a multigrade (also known as variably polyadic, also anadic) predicate or relation ("cooperate" in this example), meaning...

and algebraic description of models appropriate for the study of various logics (in the form of classes of algebras that constitute the algebraic semantics...

cylindric algebras (Henkin, Monk & Tarski 1971) or polyadic algebras are information algebras related to predicate logic (Halmos 2000). Module algebras: (Bergstra...

abstract algebraic logic is the study of the algebraization of deductive systems arising as an abstraction of the well-known Lindenbaum–Tarski algebra, and...

In mathematics, a polyadic space is a topological space that is the image under a continuous function of a topological power of an Alexandroff one-point...

this decomposition is an open problem.[clarification needed] Canonical polyadic decomposition (CPD) is a variant of the tensor rank decomposition, in which...

contrasted with polyadic predicate calculus, which allows relation symbols that take two or more arguments. The absence of polyadic relation symbols...

Milner, Robin (1993). "The Polyadic π-Calculus: A Tutorial". In F. L. Hamer; W. Brauer; H. Schwichtenberg (eds.). Logic and Algebra of Specification. Springer-Verlag...

1928 by Dörnte; the first systematic account of (what were then called) polyadic groups was given in 1940 by Emil Leon Post in a famous 143-page paper in...

In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. The binary operation...

variable number of arguments are called multigrade, anadic, or variably polyadic. Latinate names are commonly used for specific arities, primarily based...

The polyadic algebra of Paul Halmos. By virtue of its economical primitives and axioms, this algebra most resembles PFL; Relation algebra algebraizes the...

1989. Revised Sept. 1990 and Oct. 1990 respectively. Robin Milner. The Polyadic pi-Calculus: A Tutorial Edinburgh University. LFCS report ECS-LFCS-91-180...

reception" and "The reception is after the wedding". Such "relational" or "polyadic" ("many-place") concepts and expressions have, for their extension, the...

it is homeomorphic to a separable and complete metric space. Polyadic A space is polyadic if it is the continuous image of the power of a one-point compactification...

(mathematical logic) Projection (set theory) Reflexive relation Relation algebra Relational algebra Relational model Relations (philosophy) Codd 1970 "Relation –...

149–158. doi:10.1007/BF01108624. S2CID 122657534. Voutsadakis, G. (2002). "Polyadic Concept Analysis" (PDF). Order. 19 (3): 295–304. doi:10.1023/A:1021252203599...

his work on model theory, metamathematics, and algebraic logic, he also contributed to abstract algebra, topology, geometry, measure theory, mathematical...

Harshman, as well as, the team of Carol and Chang proposed Canonical polyadic decomposition (CPD), which is a variant of the tensor rank decomposition...

1989. Revised Sept. 1990 and Oct. 1990 respectively. Robin Milner. The Polyadic pi-Calculus: A Tutorial Edinburgh University. LFCS report ECS-LFCS-91-180...

Double Polyadics, with Application to the Linear Matrix Equation, Proceedings AAAS 58(10): 355 to 395. 1923: Identities Satisfied by Algebraic Point Functions...