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 for partial equivalence relation
From The Free On-line Dictionary of Computing (30 December 2018) :

  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).

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