翻訳と辞書
Words near each other
・ na
・ nadger
・ nag
・ nagling coalescence
・ nagware
・ nailed to the wall
・ nailing jelly
・ naive
・ naive user
・ nak
name capture
・ name resolution
・ name service switching
・ named
・ named pipe
・ namespace
・ nan
・ nand
・ nano-
・ nanoacre


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name capture : FOLDOC
name capture
In beta reduction, when a term containing a free occurrence of a variable v is substituted into another term where v is bound the free v becomes spuriously bound or "captured". E.g.
( x . y . x y) y --> y . y y (WRONG)

This problem arises because two distinct variables have the same name. The most common solution is to rename the bound variable using
alpha conversion:
(
x . y' . x y') y --> y' . y y'

Another solution is to use de Bruijn notation.
Note that the argument expression, y, contained a free variable. The whole expression above must therefore be notionally contained within the body of some lambda abstraction which binds y. If we never reduce inside the body of a lambda abstraction (as in reduction to weak head normal form) then name capture cannot occur.
(1995-03-14)



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