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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
.