Cookies?
Library Header Image
LSE Research Online LSE Library Services

Analogues of Chaitinʼs Omega in the computably enumerable sets

Barmpalias, G., Hölzl, R., Lewis-Pye, Andrew and Merkle, W. (2013) Analogues of Chaitinʼs Omega in the computably enumerable sets. Information Processing Letters, 113 (5-6). pp. 171-178. ISSN 0020-0190

Full text not available from this repository.
Identification Number: 10.1016/j.ipl.2013.01.007

Abstract

We show that there are computably enumerable (c.e.) sets with maximum initial segment Kolmogorov complexity amongst all c.e. sets (with respect to both the plain and the prefix-free version of Kolmogorov complexity). These c.e. sets belong to the weak truth table degree of the halting problem, but not every weak truth table complete c.e. set has maximum initial segment Kolmogorov complexity. Moreover, every c.e. set with maximum initial segment prefix-free complexity is the disjoint union of two c.e. sets with the same property; and is also the disjoint union of two c.e. sets of lesser initial segment complexity.

Item Type: Article
Official URL: http://www.journals.elsevier.com/information-proce...
Additional Information: © 2013 Elsevier B.V.
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 06 Aug 2013 11:51
Last Modified: 20 Mar 2019 02:12
Projects: 611501-10168, 2010-Y2GB03, ISCAS2010-01, D002-258/18.12.08
Funders: Research Fund for International Young Scientists, International Young Scientist Fellowship, Network Algorithms and Digital Information, Bulgarian National Science
URI: http://eprints.lse.ac.uk/id/eprint/51461

Actions (login required)

View Item View Item