bn:02443810n
Noun Concept
Categories: Lattice theory, Constructivism (mathematics), Algebraic logic
EN
Heyting algebra  Brouwer lattice  free Heyting algebra  Heyting algebras  Heyting implication
EN
In mathematics, a Heyting algebra is a bounded lattice equipped with a binary operation a → b of implication such that ≤ b is equivalent to c ≤. Wikipedia
English:
structure
Definitions
Relations
Sources
EN
In mathematics, a Heyting algebra is a bounded lattice equipped with a binary operation a → b of implication such that ≤ b is equivalent to c ≤. Wikipedia
A bounded lattice, L, modified to serve as a model for a logical calculus by being equipped with a binary operation called "implies", denoted → (sometimes ⊃ or ⇒), defined such that (a→b)∧a ≤ b and, moreover, that x = a→b is the greatest element such that x∧a ≤ b (in the sense that if c∧a ≤ b then c ≤ a→b). Wiktionary
Bounded lattice equipped with operation called implies. Wiktionary (translation)