bound variable

1. A bound variable or formal argument in a function definition is replaced by the actual argument when the function is applied. In the lambda abstraction 

 \ x . M
x is the bound variable. However, x is a free variable of the term M when M is considered on its own. M is the scope of the binding of x.

2. In logic a bound variable is a quantified variable. See quantifier.

Nearby terms:

boundedly complete ♦ bound variable ♦ Bourne Again SHell ♦ bournebasic

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