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From The Free On-line Dictionary of Computing (27 SEP 03) : [ foldoc ]
partial equivalence relation
(PER) A relation R on a set S where R is symmetric (x R y => y
R x) and transitive (x R y R z => x R z) and where there may
exist elements in S for which the relation is not defined. A
PER is an equivalence relation on the subset for which it is
defined, i.e. it is also reflexive (x R x).