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beta reduction definition
[lambda-calculus] The application of a lambda
abstraction to an argument expression. A copy of the body of
the lambda abstraction is made and occurrences of the bound
variable being replaced by the argument. E.g.
(\ x . x+1) 4 --> 4+1
Beta reduction is the only kind of reduction in the pure
lambda-calculus. The opposite of beta reduction is beta
abstraction. These are the two kinds of beta conversion.
See also name capture.
Nearby terms:
beta abstraction « beta conversion « Betamaxed « beta reduction » beta testing » beta version » Bezier
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