well-founded relation

A binary relationMathworldPlanetmath R on a class (http://planetmath.org/Class) X is well-founded if and only if

The notion of a well-founded relation is a generalizationPlanetmathPlanetmath of that of a well-ordering relationMathworldPlanetmath: proof by induction and definition by recursion may be carried out over well-founded relations.

Title well-founded relation
Canonical name WellfoundedRelation
Date of creation 2013-03-22 17:24:31
Last modified on 2013-03-22 17:24:31
Owner ratboy (4018)
Last modified by ratboy (4018)
Numerical id 9
Author ratboy (4018)
Entry type Definition
Classification msc 03E20
Related topic Relation
Related topic RMinimalElement
Defines well-founded