Standard

Computable isomorphisms of distributive lattices. / Bazhenov, Nikolay; Mustafa, Manat; Yamaleev, Mars.

Theory and Applications of Models of Computation - 15th Annual Conference, TAMC 2019, Proceedings. ed. / Junzo Watada; T. V. Gopal. Springer-Verlag GmbH and Co. KG, 2019. p. 28-41 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11436 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Bazhenov, N, Mustafa, M & Yamaleev, M 2019, Computable isomorphisms of distributive lattices. in J Watada & TV Gopal (eds), Theory and Applications of Models of Computation - 15th Annual Conference, TAMC 2019, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11436 LNCS, Springer-Verlag GmbH and Co. KG, pp. 28-41, 15th Annual Conference on Theory and Applications of Models of Computation, TAMC 2019, Kitakyushu, Japan, 13.04.2019. https://doi.org/10.1007/978-3-030-14812-6_3

APA

Bazhenov, N., Mustafa, M., & Yamaleev, M. (2019). Computable isomorphisms of distributive lattices. In J. Watada, & T. V. Gopal (Eds.), Theory and Applications of Models of Computation - 15th Annual Conference, TAMC 2019, Proceedings (pp. 28-41). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11436 LNCS). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-3-030-14812-6_3

Vancouver

Bazhenov N, Mustafa M, Yamaleev M. Computable isomorphisms of distributive lattices. In Watada J, Gopal TV, editors, Theory and Applications of Models of Computation - 15th Annual Conference, TAMC 2019, Proceedings. Springer-Verlag GmbH and Co. KG. 2019. p. 28-41. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-14812-6_3

Author

Bazhenov, Nikolay ; Mustafa, Manat ; Yamaleev, Mars. / Computable isomorphisms of distributive lattices. Theory and Applications of Models of Computation - 15th Annual Conference, TAMC 2019, Proceedings. editor / Junzo Watada ; T. V. Gopal. Springer-Verlag GmbH and Co. KG, 2019. pp. 28-41 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{335c92defbfa4117b014ac2677733afb,
title = "Computable isomorphisms of distributive lattices",
abstract = "A standard tool for the classifying computability-theoretic complexity of equivalence relations is provided by computable reducibility. This gives rise to a rich degree-structure which has been extensively studied in the literature. In this paper, we show that equivalence relations, which are complete for computable reducibility in various levels of the hyperarithmetical hierarchy, arise in a natural way in computable structure theory. We prove that for any computable successor ordinal α, the relation of (formula presented) isomorphism for computable distributive lattices is (formula presented) complete. We obtain similar results for Heyting algebras, undirected graphs, and uniformly discrete metric spaces.",
keywords = "Computable categoricity, Computable metric space, Computable reducibility, Distributive lattice, Equivalence relation, Heyting algebra",
author = "Nikolay Bazhenov and Manat Mustafa and Mars Yamaleev",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; 15th Annual Conference on Theory and Applications of Models of Computation, TAMC 2019 ; Conference date: 13-04-2019 Through 16-04-2019",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-030-14812-6_3",
language = "English",
isbn = "9783030148119",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer-Verlag GmbH and Co. KG",
pages = "28--41",
editor = "Junzo Watada and Gopal, {T. V.}",
booktitle = "Theory and Applications of Models of Computation - 15th Annual Conference, TAMC 2019, Proceedings",
address = "Germany",

}

RIS

TY - GEN

T1 - Computable isomorphisms of distributive lattices

AU - Bazhenov, Nikolay

AU - Mustafa, Manat

AU - Yamaleev, Mars

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2019.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - A standard tool for the classifying computability-theoretic complexity of equivalence relations is provided by computable reducibility. This gives rise to a rich degree-structure which has been extensively studied in the literature. In this paper, we show that equivalence relations, which are complete for computable reducibility in various levels of the hyperarithmetical hierarchy, arise in a natural way in computable structure theory. We prove that for any computable successor ordinal α, the relation of (formula presented) isomorphism for computable distributive lattices is (formula presented) complete. We obtain similar results for Heyting algebras, undirected graphs, and uniformly discrete metric spaces.

AB - A standard tool for the classifying computability-theoretic complexity of equivalence relations is provided by computable reducibility. This gives rise to a rich degree-structure which has been extensively studied in the literature. In this paper, we show that equivalence relations, which are complete for computable reducibility in various levels of the hyperarithmetical hierarchy, arise in a natural way in computable structure theory. We prove that for any computable successor ordinal α, the relation of (formula presented) isomorphism for computable distributive lattices is (formula presented) complete. We obtain similar results for Heyting algebras, undirected graphs, and uniformly discrete metric spaces.

KW - Computable categoricity

KW - Computable metric space

KW - Computable reducibility

KW - Distributive lattice

KW - Equivalence relation

KW - Heyting algebra

UR - http://www.scopus.com/inward/record.url?scp=85064865052&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-14812-6_3

DO - 10.1007/978-3-030-14812-6_3

M3 - Conference contribution

AN - SCOPUS:85064865052

SN - 9783030148119

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 28

EP - 41

BT - Theory and Applications of Models of Computation - 15th Annual Conference, TAMC 2019, Proceedings

A2 - Watada, Junzo

A2 - Gopal, T. V.

PB - Springer-Verlag GmbH and Co. KG

T2 - 15th Annual Conference on Theory and Applications of Models of Computation, TAMC 2019

Y2 - 13 April 2019 through 16 April 2019

ER -

ID: 19649895