Definition of Semilattice. Meaning of Semilattice. Synonyms of Semilattice

- In mathematics, a join-semilattice (or upper semilattice) is a partially ordered set that has a join (a least upper bound) for any nonempty finite subset...
- arrangement of planes. The intersection semilattice L(A) is a meet semilattice and more specifically is a geometric semilattice. If the arrangement is linear or...
- equivalent, lattice theory draws on both order theory and universal algebra. Semilattices include lattices, which in turn include Heyting and Boolean algebras...
- theorem for commutative semigroups in terms of semilattices. A semilattice (or more precisely a meet-semilattice) (L, ≤) is a partially ordered set where every...
- pairs have a join is a join-semilattice. Dually, a partially ordered set in which all pairs have a meet is a meet-semilattice. A partially ordered set that...
- called a closed sublattice of L. The terms complete meet-semilattice or complete join-semilattice is another way to refer to complete lattices since arbitrary...
- generalized Boolean algebra, while (B, ∨, 0) is a generalized Boolean semilattice. Generalized Boolean lattices are exactly the ideals of Boolean lattices...
- should compute the join for any pair of replica states, and should form a semilattice with the initial state as the neutral element. In particular this means...
- following semilattice-theoretical formulation of CLP. Semilattice-theoretical formulation of CLP: Is every distributive (∨,0)-semilattice isomorphic...
- valuable alternative presentation. In the case of semilattices, an explicit construction of the free semilattice F ∨ ( X ) {\displaystyle F_{\vee }(X)} is straightforward...