In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties...

and abstract algebra, the two-element Boolean algebra is the Boolean algebra whose underlying set (or universe or carrier) B is the Boolean domain. The...

pointwise convergence of nets of homomorphisms into the two-element Boolean algebra. For every Boolean algebra B, S(B) is a compact totally disconnected Hausdorff...

mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables...

distributive lattices. The smallest semiring that is not a ring is the two-element Boolean algebra, for instance with logical disjunction ∨ {\displaystyle \lor...

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

polynomial Boolean domain Complete Boolean algebra Interior algebra Two-element Boolean algebra Derivative algebra (abstract algebra) Free Boolean algebra Monadic...

of operations on a set Two-element Boolean algebra, Boolean algebra whose underlying set has two elements Boolean ring Boolean (disambiguation) This disambiguation...

Heyting algebra (also known as pseudo-Boolean algebra) is a bounded lattice (with join and meet operations written ∨ and ∧ and with least element 0 and...

values (usually "true" and "false") Boolean algebra, a logical calculus of truth values or set membership Boolean algebra (structure), a set with operations...

every finite Boolean algebra can be represented as a power set – the power set of its set of atoms; each element of the Boolean algebra corresponds to...

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...

Boolean algebra is a mathematically rich branch of abstract algebra. Stanford Encyclopaedia of Philosophy defines Boolean algebra as 'the algebra of two-valued...

what Boolean algebras are to set theory and ordinary propositional logic. Interior algebras form a variety of modal algebras. An interior algebra is an...

semilattice with two elements and the only non-null semigroup with zero of order two, also a monoid, and ultimately the two-element Boolean algebra; this is also...

large asteroid in the asteroid belt with two unconfirmed moons 2 (algebra), the two-element Boolean algebra, for which Paul Halmos introduced the bolded...

An example is the ring of integers modulo 2. Every Boolean ring gives rise to a Boolean algebra, with ring multiplication corresponding to conjunction...

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 {−1,1})...

1] MV-algebra characterizes all possible MV-algebras parallels the well-known fact that identities holding in the two-element Boolean algebra hold in...

from a two-element set Boolean operation (Boolean algebra), a logical operation in Boolean algebra (AND, OR and NOT) Boolean operator (computer programming)...

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...

the Boolean semiring (the two-element Boolean algebra R = {0, 1} with 1 + 1 = 1), then Mn(R) is the semiring of binary relations on an n-element set with...

existential graphs: alpha, isomorphic to propositional logic and the two-element Boolean algebra; beta, isomorphic to first-order logic with identity, with all...

existential graphs: alpha – isomorphic to sentential logic and the two-element Boolean algebra; beta – isomorphic to first-order logic with identity, with all...

q)\nleftarrow p} if and only if r p = 0 {\displaystyle rp=0} #s5 (In a two-element Boolean algebra the latter condition is reduced to r = 0 {\displaystyle r=0}...

In mathematics, the Boolean prime ideal theorem states that ideals in a Boolean algebra can be extended to prime ideals. A variation of this statement...

from Boole's interpretation of logic as an elementary algebra over the two-element Boolean algebra; other notations include V {\displaystyle \mathrm {V}...

free Boolean algebra is a Boolean algebra with a distinguished set of elements, called generators, such that: Each element of the Boolean algebra can be...

intended to represent the two truth values of logic and Boolean algebra. It is named after George Boole, who first defined an algebraic system of logic in the...

algebra is essentially an elegant minimalist notation for the two-element Boolean algebra. One core aspect of the text is the 'observer dilemma' that arises...