machine that always halts造句

This argument can be applied to any class of computable ( total ) functions that can be enumerated in this way, as explained in the article Machines that always halt.
The following theorem shows that the functions computable by machines that always halt do not include extensions of all partial computable functions, which implies the first question above has a negative answer.
Despite the above examples of programming languages which guarantee termination of the programs, there exists no programming language which captures exactly the recursive functions, i . e . the functions which can be computed by a Turing machine that always halts.
This characterization states that a function is primitive recursive if and only if there is a natural number " m " such that the function can be computed by a Turing machine that always halts within A ( " m ", " n " ) or fewer steps, where " n " is the sum of the arguments of the primitive recursive function.
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