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Effective Embeddings for Pairs of Structures. / Bazhenov, Nikolay; Ganchev, Hristo; Vatev, Stefan.

Computing with Foresight and Industry - 15th Conference on Computability in Europe, CiE 2019, Proceedings. ed. / Florin Manea; Barnaby Martin; Daniël Paulusma; Giuseppe Primiero. Springer-Verlag GmbH and Co. KG, 2019. p. 84-95 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11558 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Harvard

Bazhenov, N, Ganchev, H & Vatev, S 2019, Effective Embeddings for Pairs of Structures. in F Manea, B Martin, D Paulusma & G Primiero (eds), Computing with Foresight and Industry - 15th Conference on Computability in Europe, CiE 2019, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11558 LNCS, Springer-Verlag GmbH and Co. KG, pp. 84-95, 15th Conference on Computability in Europe, CiE 2019, Durham, United Kingdom, 15.07.2019. https://doi.org/10.1007/978-3-030-22996-2_8

APA

Bazhenov, N., Ganchev, H., & Vatev, S. (2019). Effective Embeddings for Pairs of Structures. In F. Manea, B. Martin, D. Paulusma, & G. Primiero (Eds.), Computing with Foresight and Industry - 15th Conference on Computability in Europe, CiE 2019, Proceedings (pp. 84-95). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11558 LNCS). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-3-030-22996-2_8

Vancouver

Bazhenov N, Ganchev H, Vatev S. Effective Embeddings for Pairs of Structures. In Manea F, Martin B, Paulusma D, Primiero G, editors, Computing with Foresight and Industry - 15th Conference on Computability in Europe, CiE 2019, Proceedings. Springer-Verlag GmbH and Co. KG. 2019. p. 84-95. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-22996-2_8

Author

Bazhenov, Nikolay ; Ganchev, Hristo ; Vatev, Stefan. / Effective Embeddings for Pairs of Structures. Computing with Foresight and Industry - 15th Conference on Computability in Europe, CiE 2019, Proceedings. editor / Florin Manea ; Barnaby Martin ; Daniël Paulusma ; Giuseppe Primiero. Springer-Verlag GmbH and Co. KG, 2019. pp. 84-95 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{f6e9fd69bfb14f3ca7724ffbf286e605,
title = "Effective Embeddings for Pairs of Structures",
abstract = "We study computable embeddings for pairs of structures, i.e. for classes containing precisely two non-isomorphic structures. We show that computable embeddings induce a non-trivial degree structure for two-element classes consisting of computable structures, in particular the pair of linear orders { ω, ω⋆}, which are the order types of the positive integers and the negative integers, respectively.",
keywords = "COMPUTABLE EMBEDDINGS, REDUCIBILITY, FUNCTORS, SPECTRA",
author = "Nikolay Bazhenov and Hristo Ganchev and Stefan Vatev",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-030-22996-2_8",
language = "English",
isbn = "9783030229955",
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 = "84--95",
editor = "Florin Manea and Barnaby Martin and Dani{\"e}l Paulusma and Giuseppe Primiero",
booktitle = "Computing with Foresight and Industry - 15th Conference on Computability in Europe, CiE 2019, Proceedings",
address = "Germany",
note = "15th Conference on Computability in Europe, CiE 2019 ; Conference date: 15-07-2019 Through 19-07-2019",

}

RIS

TY - GEN

T1 - Effective Embeddings for Pairs of Structures

AU - Bazhenov, Nikolay

AU - Ganchev, Hristo

AU - Vatev, Stefan

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We study computable embeddings for pairs of structures, i.e. for classes containing precisely two non-isomorphic structures. We show that computable embeddings induce a non-trivial degree structure for two-element classes consisting of computable structures, in particular the pair of linear orders { ω, ω⋆}, which are the order types of the positive integers and the negative integers, respectively.

AB - We study computable embeddings for pairs of structures, i.e. for classes containing precisely two non-isomorphic structures. We show that computable embeddings induce a non-trivial degree structure for two-element classes consisting of computable structures, in particular the pair of linear orders { ω, ω⋆}, which are the order types of the positive integers and the negative integers, respectively.

KW - COMPUTABLE EMBEDDINGS

KW - REDUCIBILITY

KW - FUNCTORS

KW - SPECTRA

UR - http://www.scopus.com/inward/record.url?scp=85069487743&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-22996-2_8

DO - 10.1007/978-3-030-22996-2_8

M3 - Conference contribution

AN - SCOPUS:85069487743

SN - 9783030229955

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

SP - 84

EP - 95

BT - Computing with Foresight and Industry - 15th Conference on Computability in Europe, CiE 2019, Proceedings

A2 - Manea, Florin

A2 - Martin, Barnaby

A2 - Paulusma, Daniël

A2 - Primiero, Giuseppe

PB - Springer-Verlag GmbH and Co. KG

T2 - 15th Conference on Computability in Europe, CiE 2019

Y2 - 15 July 2019 through 19 July 2019

ER -

ID: 21059017