Turing Machines with One-sided Advice and Acceptance of the co-RE Languages
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F17%3A00427248" target="_blank" >RIV/67985807:_____/17:00427248 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3233/FI-2017-1544" target="_blank" >http://dx.doi.org/10.3233/FI-2017-1544</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3233/FI-2017-1544" target="_blank" >10.3233/FI-2017-1544</a>
Alternative languages
Result language
angličtina
Original language name
Turing Machines with One-sided Advice and Acceptance of the co-RE Languages
Original language description
We resolve an old problem, namely to design a ‘natural’ machine model for accepting the complements of recursively enumerable languages. The model we present is based on nondeterministic Turing machines with ‘one-sided’ advice. We prove that these machines precisely accept the co-RE languages, without restriction on the advice functions that are used. We show that for accepting a co-RE language, one-sided advice is as powerful as arbitrary advice, but also that linearly bounded one-sided advice is sufficient. However, ‘long’ sublinear advice can make Turing machines with one-sided advice accept more co-RE languages than ‘short’ sublinear advice. We prove that infinite proper hierarchies of language classes inside co-RE can be devised, using suitable increasing sequences of bounding functions for the allowed advice. The machine model and the results dualize for the family of recursively enumerable languages.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fundamenta Informaticae
ISSN
0169-2968
e-ISSN
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Volume of the periodical
153
Issue of the periodical within the volume
4
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
20
Pages from-to
347-366
UT code for WoS article
000407178200003
EID of the result in the Scopus database
2-s2.0-85027179425