alpha conversion
( plural )
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(computing theory) One of the three rewrite rules of lambda calculus, in which a bound variable of a lambda term is replaced by another variable across its entire scope. So if there is a lambda term of the form (𝜆x.t) and it is desired to have x replaced with y, then the rewritten lambda term would have the form (𝜆y.t[y/x]) where t[y/x], t with y instead of x
, has had all free instances of x in t replaced with y.
alpha conversion
To avoid variable capture when substituting terms, we perform an alpha conversion on the lambda abstraction before applying the substitution.
To avoid variable capture when substituting terms, we perform an alpha conversion on the lambda abstraction before applying the substitution.
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