boolean hierarchy is the hierarchy of boolean combinations (intersection, union and complementation) of NP sets. Equivalently, the boolean hierarchy can...

computational complexity theory, the polynomial hierarchy (sometimes called the polynomial-time hierarchy) is a hierarchy of complexity classes that generalize...

complexity, a Boolean circuit is a mathematical model for combinational digital logic circuits. A formal language can be decided by a family of Boolean circuits...

in the W hierarchy are also closed under fpt-reduction. A complete problem for W[i] is Weighted i-Normalized Satisfiability: given a Boolean formula written...

of sparse NP-complete sets. He and his coauthors also defined the Boolean hierarchy. Hartmanis's 1981 article gives a personal account of developments...

{\mathsf {NC}}} which forms the NC-hierarchy. The smallest class, NC0, is the class of functions definable by boolean circuits with constant depth and bounded...

non-circular definition of Boolean-valued set, they are defined inductively in a hierarchy similar to the cumulative hierarchy. For each ordinal α of V...

a formal language consisting of the true quantified Boolean formulas. A (fully) quantified Boolean formula is a formula in quantified propositional logic...

neural networks by Igor Aizenberg and colleagues in 2000, in the context of Boolean threshold neurons. Although the history of its appearance is apparently...

well-known Lindenbaum–Tarski process, that leads to the association of Boolean algebras to classical propositional calculus, and make it applicable to...

Boolean arithmetic; The primary algebra (Chapter 6 of LoF), whose models include the two-element Boolean algebra (hereinafter abbreviated 2), Boolean...

common situation is where a single-word string that looks like a number, Boolean or tag requires disambiguation by surrounding it with quotes or using an...

related branches of mathematics, the von Neumann universe, or von Neumann hierarchy of sets, denoted by V, is the class of hereditary well-founded sets. This...

Boolean analysis was introduced by Flament (1976). The goal of a Boolean analysis is to detect deterministic dependencies between the items of a questionnaire...

in NP can be transformed mechanically into a Boolean satisfiability problem in polynomial time. The Boolean satisfiability problem is one of many NP-complete...

Hemaspaandra, Lane A.; Rothe, Jörg (June 1997). "Unambiguous Computation: Boolean Hierarchies and Sparse Turing-Complete Sets". SIAM Journal on Computing. 26 (3):...

formula embodying the membership relation is not simply True or False. The Boolean-valued models of ZFC are a related subject. An enrichment of ZFC called...

A Boolean network consists of a discrete set of Boolean variables each of which has a Boolean function (possibly different for each variable) assigned...

The Hierarchical navigable small world (HNSW) algorithm is a graph-based approximate nearest neighbor search technique used in many vector databases. Nearest...

universe form a cumulative hierarchy. The Boolean-valued models constructed by forcing are built using a cumulative hierarchy. The well founded sets in...

of its regulators in previous time steps (in the Boolean network described below these are Boolean functions, typically AND, OR, and NOT). These functions...

many complexity classes are based on non-deterministic Turing machines, Boolean circuits, quantum Turing machines, monotone circuits, etc. The resource...

{\displaystyle F=x\cdot F_{x}+x'\cdot F_{x'}} , where F {\displaystyle F} is any Boolean function, x {\displaystyle x} is a variable, x ′ {\displaystyle x'} is...

their main benefits. UML statecharts introduce the new concepts of hierarchically nested states and orthogonal regions, while extending the notion of...

Algorithmic information theory Boolean ring commutativity of a boolean ring Boolean satisfiability problem NP-completeness of the Boolean satisfiability problem...

computational complexity theory in which Boolean functions are classified according to the size or depth of the Boolean circuits that compute them. A related...

time. As one example, some graphs can be succinctly described by a small Boolean circuit. The circuit has 2 n {\displaystyle 2n} inputs, 1 output and p...

decision problems such that, for every n, there exists a polynomial size Boolean circuit correctly deciding the problem on all inputs of length n. One direction...

floating-point numbers (which approximate real numbers), characters and Booleans. A data type may be specified for many reasons: similarity, convenience...

Circuit) is the first class in the hierarchy of TC classes. TC0 contains all languages which are decided by Boolean circuits with constant depth and polynomial...