Universal algebra

Post's lattice

In logic and universal algebra, Post's lattice denotes the lattice of all clones on a two-element set {0, 1}, ordered by inclusion. It is named for Emil Post, who published a complete description of the lattice in 1941. The relative simplicity of Post's lattice is in stark contrast to the lattice of clones on a three-element (or larger) set, which has the cardinality of the continuum, and a complicated inner structure. A modern exposition of Post's result can be found in Lau (2006). (Wikipedia).

Post's lattice
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Related pages

Emil Leon Post | Functional completeness | Negation | Operation (mathematics) | Intersection (set theory) | Lattice (order) | Cardinality of the continuum | Boolean function | Clone (algebra) | Universal algebra | Material nonimplication | Material conditional | Majority function | Projection (set theory) | Addition | Cartesian product | Boolean ring | Propositional variable | Complete lattice | Logical connective | Function composition | Logical conjunction | P (complexity) | Logical biconditional | Boolean algebra (structure)