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The Friedberg Jump Inversion Theorem Revisited: A Study of Undefinable Cuts

Published online by Cambridge University Press:  31 March 2017

By
Chi Tat Chong ,
Lei Qian  and
Yue Yang
Edited by
Samuel R. Buss ,
Petr Hájek  and
Pavel Pudlák
Chi Tat Chong
Affiliation:
National University of Singapore
Lei Qian
Affiliation:
National University of Singapore
Yue Yang
Affiliation:
National University of Singapore
Samuel R. Buss
Affiliation:
University of California, San Diego
Petr Hájek
Affiliation:
Academy of Sciences of the Czech Republic, Prague
Pavel Pudlák
Affiliation:
Academy of Sciences of the Czech Republic, Prague
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Logic Colloquium '98 , pp. 140 - 153
Publisher: Cambridge University Press
Print publication year: 2000

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References

1. C. T., Chong and K. J., Mourad. The degree of a σn cut. Ann. Pure Appl. Logic, 48(3):227–235, 1990.Google Scholar
2. C. T., Chong and Yue, Yang. Local degree theory in fragments of Peano arithmetic. in preparation.
3. C. T., Chong and Yue Yang. Recursion theory in weak fragments of Peano arithmetic: A study of cuts. In Proc. Sixth Asian Logic Conference, Beijing 1996, pages 47–65, Singapore, 1998.World Scientific.
4. Marcia J., Groszek and Theodore A. Slaman. On Turing reducibility. Preprint, 1994.
5. L. A., Kirby and J. B., Paris. σn-collection schemas in arithmetic. In Logic Colloquium '77, pages 199–209, Amsterdam, 1978. North-Holland Publishing Co.
6. Michael, Mytilinaios. Finite injury and σ1-induction. J. Symbolic Logic, 54(1):38–49, 1989.Google Scholar
7. Michael E., Mytilinaios and Theodore A., Slaman. σ2-collection and the infinite injury priority method. J. Symbolic Logic, 53(1):212–221, 1988.Google Scholar
8. Theodore A., Slaman and W., HughWoodin. σ1-collection and the finite injury method. In Juichi, Shinoda, Theodore A., Slaman, and T., Tugué, editors, Mathematical Logic and Applications, pages 178–188, Heidelberg, 1989. Springer-Verlag.
9. Robert I., Soare. Recursively Enumerable Sets and Degrees. Springer-Verlag, Heidelberg, 1987.

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