eta conversion

eta conversion (plural eta conversions)

1. (computing theory) One of the three rewrite rules of lambda calculus, which expresses a sort of tautology about function application. The rule says that a lambda abstraction of the form ${\displaystyle (\lambda x.(fx))}$ may be rewritten as simply ${\displaystyle f}$, provided that x does not occur freely in f (considered by itself).

• alpha conversion
• beta reduction