Skip to main content Accessibility help
×
Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-17T22:27:13.370Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  31 March 2017

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
Get access
Type
Chapter
Information
Logic Colloquium '98 , pp. 140 - 153
Publisher: Cambridge University Press
Print publication year: 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×