Inductively defined sets of reals
Author:
Douglas Cenzer
Journal:
Bull. Amer. Math. Soc. 80 (1974), 485-487
MSC (1970):
Primary 02F29; Secondary 02F27, 02F35, 02K30
DOI:
https://doi.org/10.1090/S0002-9904-1974-13459-2
MathSciNet review:
0406782
Full-text PDF Free Access
References | Similar Articles | Additional Information
- 1. Andreas Blass and Douglas Cenzer, Cores of Π₁¹ sets of reals, J. Symbolic Logic 39 (1974), 649–654. MR 376350, https://doi.org/10.2307/2272848
- 2. D. Cenzer, Monotone inductive definitions over the continuum, Notices Amer. Math. Soc. 21 (1974), A-19.
- 3. Douglas Cenzer, Ordinal recursion and inductive definitions, Generalized recursion theory (Proc. Sympos., Oslo, 1972) North-Holland, Amsterdam, 1974, pp. 221–264. Studies in Logic and the Foundations of Math., Vol. 79. MR 0429522
- 4. D. Cenzer, Ordinal recursion over the continuum (to appear).
- 5. Douglas Cenzer, Parametric inductive definitions and recursive operators over the continuum, Fund. Math. 100 (1978), no. 1, 9–15. MR 479986, https://doi.org/10.4064/fm-100-1-9-15
- 6. Thomas J. Grilliot, Hierarchies based on objects of finite type, J. Symbolic Logic 34 (1969), 177–182. MR 282841, https://doi.org/10.2307/2271092
- 7. Peter G. Hinman, Recursion-theoretic hierarchies, Springer-Verlag, Berlin-New York, 1978. Perspectives in Mathematical Logic. MR 499205
- 8. Peter G. Hinman and Yiannis N. Moschovakis, Computability over the continuum, Logic Colloquium ’69 (Proc. Summer School and Colloq., Manchester, 1969), North-Holland, Amsterdam, 1971, pp. 77–105. MR 0278949
- 9. S. C. Kleene, Recursive functionals and quantifiers of finite types. II, Trans. Amer. Math. Soc. 108 (1963), 106–142. MR 153557, https://doi.org/10.1090/S0002-9947-1963-0153557-4
- 10. Wayne Richter, Recursively Mahlo ordinals and inductive definitions, Logic Colloquium ’69 (Proc. Summer School and Colloq., Manchester, 1969), North-Holland, Amsterdam, 1971, pp. 273–288. MR 0281616
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1974-13459-2