relative pseudo-complement

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English[edit]

Noun[edit]

relative pseudo-complement (plural relative pseudo-complements)

  1. (mathematics) The residual operation of a Heyting algebra when considered as a residuated lattice whose monoid operation is the meet operation. Equivalently, the relative pseudo-complement of a with respect to b is the supremum of the set of all z such that  z \wedge a \leqslant b, where \wedge denotes the meet operation of the given Heyting algebra.

Usage notes[edit]

  • The relative pseudo-complement is analogous to material implication and may be represented by an infix right arrow: \rightarrow.

See also[edit]