In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the...
75 KB (9,572 words) - 09:14, 22 April 2025
Look up Boolean, Booleans, or boolean in Wiktionary, the free dictionary. Any kind of logic, function, expression, or theory based on the work of George...
2 KB (254 words) - 17:45, 24 May 2025
In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties...
49 KB (3,372 words) - 02:25, 17 September 2024
In computer science, the Boolean (sometimes shortened to Bool) is a data type that has one of two possible values (usually denoted true and false) which...
26 KB (3,134 words) - 02:19, 29 April 2025
The boolean hierarchy is the hierarchy of boolean combinations (intersection, union and complementation) of NP sets. Equivalently, the boolean hierarchy...
4 KB (574 words) - 08:35, 7 April 2025
In logic and computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY...
52 KB (5,112 words) - 16:22, 4 June 2025
Boolean value is either true or false. A Boolean expression may be composed of a combination of the Boolean constants True/False or Yes/No, Boolean-typed...
4 KB (422 words) - 13:52, 13 March 2025
In mathematics, a Boolean ring R is a ring for which x2 = x for all x in R, that is, a ring that consists of only idempotent elements. An example is the...
12 KB (1,419 words) - 01:16, 15 November 2024
Boolean operation or Boolean operator may refer to: Boolean function, a function whose arguments and result assume values from a two-element set Boolean...
764 bytes (136 words) - 15:51, 4 October 2021
In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {−1...
23 KB (2,887 words) - 14:24, 22 April 2025
Look up Boolean algebra in Wiktionary, the free dictionary. Boolean algebra is the algebra of truth values and operations on them. Boolean algebra may...
547 bytes (104 words) - 12:58, 29 May 2021
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...
10 KB (1,356 words) - 16:04, 22 December 2024
A Boolean network consists of a discrete set of Boolean variables each of which has a Boolean function (possibly different for each variable) assigned...
25 KB (2,831 words) - 22:14, 7 May 2025
In mathematics and abstract algebra, a Boolean domain is a set consisting of exactly two elements whose interpretations include false and true. In logic...
10 KB (940 words) - 06:28, 16 December 2024
Short-circuit evaluation (redirect from Boolean short circuit evaluation)
or McCarthy evaluation (after John McCarthy) is the semantics of some Boolean operators in some programming languages in which the second argument is...
18 KB (1,452 words) - 16:15, 22 May 2025
mathematics, a complete Boolean algebra is a Boolean algebra in which every subset has a supremum (least upper bound). Complete Boolean algebras are used to...
10 KB (1,349 words) - 13:06, 14 April 2025
Boolean grammars, introduced by Okhotin [Wikidata], are a class of formal grammars studied in formal language theory. They extend the basic type of grammars...
4 KB (514 words) - 13:31, 10 March 2025
mathematics, a Boolean matrix is a matrix with entries from a Boolean algebra. When the two-element Boolean algebra is used, the Boolean matrix is called...
3 KB (439 words) - 21:02, 14 April 2025
a formal language consisting of the true quantified Boolean formulas. A (fully) quantified Boolean formula is a formula in quantified propositional logic...
26 KB (3,846 words) - 15:34, 27 May 2025
Monotonic function (redirect from Monotone Boolean function)
be proven optimal provided that the heuristic they use is monotonic. In Boolean algebra, a monotonic function is one such that for all ai and bi in {0...
19 KB (2,471 words) - 01:32, 25 January 2025
the Cook–Levin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete. That is, it is in NP, and any problem...
19 KB (2,354 words) - 04:22, 13 May 2025
Off, 1 or 0) referring to two-element Boolean algebra (the Boolean domain), e.g. Boolean-valued function or Boolean data type in mathematics: something...
601 bytes (105 words) - 05:11, 22 April 2024
Analysis of Boolean functions Balanced Boolean function Bent function Boolean algebras canonically defined Boolean function Boolean matrix Boolean-valued function...
6 KB (271 words) - 23:18, 23 July 2024
monadic Boolean algebra is an algebraic structure A with signature ⟨·, +, ', 0, 1, ∃⟩ of type ⟨2,2,1,0,0,1⟩, where ⟨A, ·, +, ', 0, 1⟩ is a Boolean algebra...
4 KB (435 words) - 05:13, 14 January 2025
A Boolean flag, truth bit or truth flag in computer science is a Boolean value represented as one or more bits, which encodes a state variable with two...
3 KB (359 words) - 12:44, 10 April 2021
two-element Boolean algebra is the Boolean algebra whose underlying set (or universe or carrier) B is the Boolean domain. The elements of the Boolean domain...
9 KB (1,311 words) - 13:09, 14 April 2025
Topological Boolean algebra may refer to: In abstract algebra and mathematical logic, topological Boolean algebra is one of the many names that have been...
945 bytes (148 words) - 22:45, 2 December 2018
Interior algebra (redirect from Topo-boolean algebra)
of a set. Interior algebras are to topology and the modal logic S4 what Boolean algebras are to set theory and ordinary propositional logic. Interior algebras...
30 KB (3,849 words) - 17:44, 27 May 2025
Logical disjunction (redirect from Boolean OR)
will come.' Affirming a disjunct Boolean algebra (logic) Boolean algebra topics Boolean domain Boolean function Boolean-valued function Conjunction/disjunction...
16 KB (1,937 words) - 20:20, 25 April 2025
pseudo-Boolean function is a function of the form f : B n → R , {\displaystyle f:\mathbf {B} ^{n}\to \mathbb {R} ,} where B = {0, 1} is a Boolean domain...
7 KB (1,141 words) - 18:13, 5 June 2025