| Issue |
RAIRO-Theor. Inf. Appl.
Volume 37, Number 1, January/March 2003
|
|
|---|---|---|
| Page(s) | 67 - 83 | |
| DOI | https://doi.org/10.1051/ita:2003008 | |
| Published online | 15 November 2003 | |
Wadge Degrees of ω-Languages of Deterministic Turing Machines
1
Universität Siegen,
Theoretische Informatik, Fachbereich 6, Germany; vseliv@informatik.uni-siegen.de.
2
Novosibirsk State Pedagogical University
Chair of Informatics and Discrete Mathematics, Russia;
vseliv@nspu.ru .
Received:
July
2002
Accepted:
April
2003
We describe Wadge degrees of ω-languages recognizable by deterministic Turing machines. In particular, it is shown that the ordinal corresponding to these degrees is ξω where ξ = ω1CK is the first non-recursive ordinal known as the Church–Kleene ordinal. This answers a question raised in [2].
Mathematics Subject Classification: 03D55 / 04A15 / 68Q05
Key words: Hierarchy / Wadge degree / ω-language / ordinal / Turing machine / set-theoretic operation.
© EDP Sciences, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.