extensional equalitycomputing dictionary

(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 given reduction 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.

(03 Feb 2009)

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