THE A-CALCULUS IS c-INCOMPLETE
نویسنده
چکیده
?2. Definitions. The language of the A-calculus has an alphabet containing denumerably many variables a, b, c, . . . (which have a standard listing e1, e2,. . improper symbols A, ( , ) and a single predicate symbol = for equality. Terms are defined inductively by the following: (1) A variable is a term. (2) If M and N are terms, so is (MN); it is called a combination. (3) If M is a term and x is a variable, (A x M) is a term; it is called an abstraction. We use for syntactic identity of terms. If M and N are terms, M = N is a formula. BV(M), the set of bound variables in M, and FV(M), its free variables, are defined inductively by
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