# alpha conversion

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## English[edit]

### Noun[edit]

**alpha conversion** (*plural* **alpha conversions**)

- (computing theory) One of the three rewrite rules of lambda calculus, in which a bound variable of a lambda term gets replaced by another variable across its entire scope. So if there is a lambda term of the form and it is desired to have
*x*replaced with*y*, then the rewritten lambda term would have the form where , "*t*with*y*in stead of*x*", has had all free instances of*x*in*t*replaced with*y*.