meaning of extensional

1. Having great extent.
2.
extensional Extensional properties, e. g. extensional equality, relate to the "black-box" behaviour of an object, i. e. how its output depends on its input. The opposite is intensional which concerns how the object is implemented. extensional equality 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. extensionality extensional equality Extension Language Kit Elk A Scheme interpreter by Oliver Laumann tu-berlin. de> and Carsten Bormann tu-berlin. de> of the Technical University of Berlin. Elk was designed to be used as a general extension language. New types and primitive procedures can easily be added. It has first-class environments, dynamic-wind, fluid-let, macros, autoloading and a dump. It provides interfaces to Xlib, Xt and various widget sets; dynamic loading of extensions and object files; almost all artificial limitations removed; generational/incremental garbage collector; Unix system call extensions; Records
3.
used of the class of entities to which a given word correctly applies


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