Elementary differences between the isols and the co-simple isols
نویسندگان
چکیده
منابع مشابه
Nonrecursive Relations among the Isols
The universal isol metatheorem is extended so as to deal with nonrecursive relations and countable Boolean operations.
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In this paper we study some of the arithmetic structure that is found in a special kind of semi-ring in the isols. These are the semi-rings [D(Y ),+, ·] that were introduced by J.C.E. Dekker, and that were later shown by E. Ellentuck to model the true universal recursive statements of arithmetic when Y is a regressive isol and is hyper-torre (= hereditarily odd-even = HOE). When Y is regressive...
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Based on the work of Hirschfeld, it is known that there is a close connection between models for the n°j fragment of arithmetic and homomorphic images of the semiring of recursive functions. This fragment of arithmetic includes most of the familiar results of classical number theory. There is a realization of this fragment in the isols in systems called tame models. In this paper a new proof is...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1967
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1967-0213236-5