Similarly, an identifier bound to a recursive function is also technically a free variable within its own body but is treated specially.
42.
This algorithm generates source code that effectively substitutes the values for the first " m " free variables, leaving the rest free.
43.
It is no longer true for realizability of types ( infinite sets of formulas ) with free variables, as you have attempted here.
44.
Director strings suggest that the correct model is to track free variables in a hierarchical fashion, by tracking their use in component terms.
45.
R ( x, f ( x ) ) is true for some evaluation of its free variables ( none in this case ).
46.
Therefore, the critical case ( between overdetermined and underdetermined ) occurs when the number of equations and the number of free variables are equal.
47.
If a formula does not contain free variables, and so is a sentence, then the initial variable assignment does not affect its truth value.
48.
Each free variable gives the solution space one degree of freedom, the number of which is equal to the dimension of the solution set.
49.
Thus an expression represents a function whose inputs are the value assigned the free variables and whose output is the resulting value of the expression.
50.
The distinction between open and closed operands ( operands = arguments + target ) corresponds to the distinction between bound and free variables in lambda calculus.
