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1. Boolean algebra: Boolean lattice A partially ordered set of a special type. It is a distributive lattice with a largest element "1" , the unit of the Boolean algebra, and a smallest element "0" , the zero of the Boolean algebra, that contains together ... (Mathematics) [100%] 2023-10-22
2. Boolean algebra: Boolean algebra or boolean logic is the formal mathematical discipline that deals with "truth values"—"true" or "false". Its fundamental operations are "and", "or" and "not". [100%] 2023-02-18 [Logic] [Computer Science]...
3. Boolean algebra: A Boolean algebra is a form of logical calculus with two binary operations AND (multiplication, •) and OR (addition, +) and one unary operation NOT (negation, ~) that reverses the truth value of any statement. Boolean algebra can be used to analyze computer ... [100%] 2023-06-24
4. Boolean algebra: In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. (Algebraic manipulation of "true" and "false") [100%] 2023-11-15 [Boolean algebra] [1847 introductions]...
5. Boolean algebra: Boolean algebra is the mathematics of boolean logic, where statements (usually mathematical but sometimes literative arguments) are evaluated to be either true or false. Boolean algebra is important in both inductive reasoning and deductive reasoning, as well as science in ... [100%] 2023-02-16 [Mathematics]
6. Boolean algebra: A Boolean algebra is a form of logical calculus with two binary operations AND (multiplication, •) and OR (addition, +) and one unary operation NOT (negation, ~) that reverses the truth value of any statement. Boolean algebra can be used to analyze computer ... [100%] 2024-11-14 [Suggestion Bot Tag]
7. Complete Boolean algebra: In 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 construct Boolean-valued models of set theory in the theory of forcing. [81%] 2024-02-11 [Boolean algebra] [Forcing (mathematics)]...
8. Complete Boolean algebra: In 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 construct Boolean-valued models of set theory in the theory of forcing. [81%] 2023-05-05 [Boolean algebra] [Forcing (mathematics)]...
9. Free Boolean algebra: In mathematics, a free Boolean algebra is a Boolean algebra with a distinguished set of elements, called generators, such that: The generators of a free Boolean algebra can represent independent propositions. Consider, for example, the propositions "John is tall" and ... [81%] 2022-11-11 [Boolean algebra] [Free algebraic structures]...
10. Boolean algebra (structure): In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties of both set operations and logic operations. (Structure) [81%] 2023-04-18 [Boolean algebra] [Algebraic structures]...
11. Monadic Boolean algebra: In abstract algebra, a monadic Boolean algebra is an algebraic structure A with signature where ⟨A, ·, +, ', 0, 1⟩ is a Boolean algebra. The monadic/unary operator ∃ denotes the existential quantifier, which satisfies the identities (using the received prefix notation for ... [81%] 2023-01-13 [Algebraic logic] [Boolean algebra]...
12. Free Boolean algebra: A Boolean algebra with a system of generators such that every mapping from this system into a Boolean algebra can be extended to a homomorphism. Every Boolean algebra is isomorphic to a quotient algebra of some free Boolean algebra. (Mathematics) [81%] 2022-10-06
13. Free Boolean algebra: A Boolean algebra with a system of generators such that every mapping from this system into a Boolean algebra can be extended to a homomorphism. Every Boolean algebra is isomorphic to a quotient algebra of some free Boolean algebra. (Mathematics) [81%] 2024-03-08
14. Boolean algebra with operators: An operator on a Boolean algebra $ \mathbf B $ is a finitary operation on the Boolean algebra that is additive, meaning that in each of its arguments it preserves the sum/join operation of $ \mathbf B $. An operator is normal if ... (Mathematics) [70%] 2023-09-18
15. Minimal axioms for Boolean algebra: In mathematical logic, minimal axioms for Boolean algebra are assumptions which are equivalent to the axioms of Boolean algebra (or propositional calculus), chosen to be as short as possible. For example, if one chooses to take commutativity for granted, an ... [63%] 2023-09-20 [Boolean algebra] [History of logic]...
16. List of Boolean algebra topics: This is a list of topics around Boolean algebra and propositional logic. (none) [63%] 2024-10-02 [Mathematics-related lists] [Boolean algebra]...
17. Pseudo-Boolean algebra: A lattice $ \mathbf L = ( L , \leq ) $ containing a least element 0 and such that for any two elements $ a , b $ of $ L $ there exists a largest element, denoted by $ a \supset b $, in the set $ \{ {x \in L } : {a \wedge ... (Mathematics) [81%] 2023-10-13
18. The Mathematics of Boolean Algebra: Boolean algebra is the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation. The rigorous concept is that of a certain kind of algebra, analogous to the mathematical notion of ... (Philosophy) [63%] 2021-12-24