# relative pseudo-complement

## English

### Noun

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 ${\displaystyle z\wedge a\leqslant b}$, where ${\displaystyle \wedge }$ 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: ${\displaystyle \rightarrow }$.