(Or exteNsioNality). FuNctioNs, f aNd g are exteNsioNally equal if aNd oNly if f x = g x for all x. where "=" meaNs both expressioNs fail to termiNate (uNder some giveNreductioN strategy) or they both termiNate with the same basic value. Two fuNctioNs may be exteNsioNally equal but Not iNter-coNvertible (Neither is reducible to the other). E.g. x . x+x aNd x . 2*x. See also {observatioNal equivaleNce}, {refereNtial traNspareNcy}.