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COMPUTING K-TRIVIAL SETS BY INCOMPLETE RANDOM SETS

Published online by Cambridge University Press:  13 May 2014

LAURENT BIENVENU ,
ADAM R. DAY ,
NOAM GREENBERG ,
ANTONÍN KUČERA ,
JOSEPH S. MILLER ,
ANDRÉ NIES  and
DAN TURETSKY
LAURENT BIENVENU
Affiliation:
LIAFA, CNRS & UNIVERSITÉ PARIS 7 CASE 7014, 75205 PARIS CEDEX 13 FRANCEE-mail:laurent.bienvenu@liafa.univ-paris-diderot.fr
ADAM R. DAY
Affiliation:
SCHOOL OF MATHEMATICS STATISTICS AND OPERATIONS RESEARCH VICTORIA UNIVERSITY OF WELLINGTON WELLINGTON, NEW ZEALANDE-mail:adam.day@msor.vuw.az.nz
NOAM GREENBERG
Affiliation:
SCHOOL OF MATHEMATICS STATISTICS AND OPERATIONS RESEARCH VICTORIA UNIVERSITY OF WELLINGTON WELLINGTON, NEW ZEALANDE-mail:greenberg@msor.vuw.az.nz
ANTONÍN KUČERA
Affiliation:
CHARLES UNIVERSITY IN PRAGUE FACULTY OF MATHEMATICS AND PHYSICS PRAGUE, CZECH REPUBLICE-mail:kucera@mbox.ms.mff.cuni.cz
JOSEPH S. MILLER
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF WISCONSIN MADISON, WI 53706-1388, USAE-mail:jmiller@math.wisc.edu
ANDRÉ NIES
Affiliation:
DEPARTMENT OF COMPUTER SCIENCE PRIVATE BAG 92019 AUCKLAND, NEW ZEALANDE-mail:andre@cs.auckland.ac.nz
DAN TURETSKY
Affiliation:
KURT GÖDEL RESEARCH CENTER FOR MATHEMATICAL LOGIC UNIVERSITY OF VIENNA VIENNA, AUSTRIAE-mail:turetsd4@univie.ac.at
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Abstract

Every K-trivial set is computable from an incomplete Martin-Löf random set, i.e., a Martin-Löf random set that does not compute the halting problem.

Type
Communication
Information
Bulletin of Symbolic Logic , Volume 20 , Issue 1 , March 2014 , pp. 80 - 90
Copyright
Copyright © The Association for Symbolic Logic 2014 

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References

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