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bound variable

noun, Logic.
(in the functional calculus) a variable occurring in a quantifier and in a sentential function within the scope of the quantifier.
Compare free variable. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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bound variable in Technology

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.

The Free On-line Dictionary of Computing, © Denis Howe 2010
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