relative pseudo-complement

English

Noun

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

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

See also

• residuum