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Recursive Equivalence Types

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Author(s): Dekker, Jacob C. E. and Myhill, John R.
Series: University of California Publications in Mathematics 3
Publisher: University of California Press
Year: 1960

Language: English
Pages: 153

Preface......Page 3
Contents......Page 5
Introduction......Page 7
I. The Relation of Recursive Equivalence......Page 8
II. Elementary Algebraic Properties of Addition......Page 13
III. The Refinement Property......Page 19
IV. Isols......Page 27
V. The Partial Ordering Relation......Page 33
VI. Some Existence Theorems......Page 41
VII. Ideals......Page 54
VIII. The System Ω_F......Page 60
IX. Elementary Properties of Multiplication......Page 70
X. The Operations A^n and A^∞......Page 75
XI. Subtraction......Page 85
XII. Division......Page 95
XIII. Primes......Page 112
XIV. Exponentiation......Page 116
XV. The Elementary Operations as Partial Recursive Functionals......Page 130
Appendix. A Theorem on Partial Isomorphisms......Page 140
References......Page 148
Index......Page 151