dc.contributor.author |
Bazhenov N. |
|
dc.contributor.author |
Harrison-Trainor M. |
|
dc.contributor.author |
Kalimullin I. |
|
dc.contributor.author |
Melnikov A. |
|
dc.contributor.author |
Ng K. |
|
dc.date.accessioned |
2020-01-21T20:32:04Z |
|
dc.date.available |
2020-01-21T20:32:04Z |
|
dc.date.issued |
2019 |
|
dc.identifier.issn |
0022-4812 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/157362 |
|
dc.description.abstract |
Copyright © The Association for Symbolic Logic 2019. A structure is automatic if its domain, functions, and relations are all regular languages. Using the fact that every automatic structure is decidable, in the literature many decision problems have been solved by giving an automatic presentation of a particular structure. Khoussainov and Nerode asked whether there is some way to tell whether a structure has, or does not have, an automatic presentation. We answer this question by showing that the set of Turing machines that represent automata-presentable structures is-complete. We also use similar methods to show that there is no reasonable characterisation of the structures with a polynomial-time presentation in the sense of Nerode and Remmel. |
|
dc.relation.ispartofseries |
Journal of Symbolic Logic |
|
dc.subject |
03D05 |
|
dc.subject |
03D45 |
|
dc.subject |
03D80 |
|
dc.subject |
2010 Mathematics Subject Classification |
|
dc.subject |
68Q45 |
|
dc.subject |
Primary 03C57 |
|
dc.subject |
Secondary 03D20 |
|
dc.title |
Automatic and Polynomial-Time Algebraic Structures |
|
dc.type |
Article |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
1630 |
|
dc.source.id |
SCOPUS00224812-2019-SID85077331669 |
|