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Algebra Logika, 2015, Volume 54, Number 2, Pages 163–192 (Mi al686)  

This article is cited in 10 scientific papers (total in 10 papers)

Index sets of constructive models of bounded signature that are autostable relative to strong constructivizations

S. S. Goncharovab, M. I. Marchuka

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

Abstract: We evaluate algorithmic complexity of the class of computable models of bounded signature that have a strong constructivization and are autostable relative to strong constructivizations.

Keywords: model, computable model, constructive model, autostability, index sets.

DOI: https://doi.org/10.17377/alglog.2015.54.203

Full text: PDF file (264 kB)
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English version:
Algebra and Logic, 2015, 54:2, 108–126

Bibliographic databases:

UDC: 510.5
Received: 07.11.2014

Citation: S. S. Goncharov, M. I. Marchuk, “Index sets of constructive models of bounded signature that are autostable relative to strong constructivizations”, Algebra Logika, 54:2 (2015), 163–192; Algebra and Logic, 54:2 (2015), 108–126

Citation in format AMSBIB
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\by S.~S.~Goncharov, M.~I.~Marchuk
\paper Index sets of constructive models of bounded signature that are autostable relative to strong constructivizations
\jour Algebra Logika
\yr 2015
\vol 54
\issue 2
\pages 163--192
\mathnet{http://mi.mathnet.ru/al686}
\crossref{https://doi.org/10.17377/alglog.2015.54.203}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3467209}
\transl
\jour Algebra and Logic
\yr 2015
\vol 54
\issue 2
\pages 108--126
\crossref{https://doi.org/10.1007/s10469-015-9331-z}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84937716869}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “The index set of linear orderings that are autostable relative to strong constructivizations”, J. Math. Sci., 221:6 (2017), 840–848  mathnet  crossref  crossref
    2. E. B. Fokina, S. S. Goncharov, V. Harizanov, O. V. Kudinov, D. Turetsky, “Index sets for $n$-decidable structures categorical relative to $m$-decidable presentations”, Algebra and Logic, 54:4 (2015), 336–341  mathnet  crossref  crossref  mathscinet  isi
    3. S. S. Goncharov, M. I. Marchuk, “Index sets of constructive models of finite and graph signatures that are autostable relative to strong constructivizations”, Algebra and Logic, 54:6 (2016), 428–439  mathnet  crossref  crossref  mathscinet  isi
    4. M. I. Marchuk, “Index set of structures with two equivalence relations that are autostable relative to strong constructivizations”, Algebra and Logic, 55:4 (2016), 306–314  mathnet  crossref  crossref  isi
    5. S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “The index set of the groups autostable relative to strong constructivizations”, Siberian Math. J., 58:1 (2017), 72–77  mathnet  crossref  crossref  isi  elib  elib
    6. N. Bazhenov, “Autostability spectra for decidable structures”, Math. Struct. Comput. Sci., 28:3, SI (2018), 392–411  crossref  mathscinet  isi  scopus
    7. N. A. Bazhenov, “Spektry kategorichnosti vychislimykh struktur”, Trudy seminara kafedry algebry i matematicheskoi logiki Kazanskogo (Privolzhskogo) federalnogo universiteta, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 157, VINITI RAN, M., 2018, 42–58  mathnet  mathscinet
    8. M. I. Marchuk, “Indeksnoe mnozhestvo avtoustoichivykh uporyadochennykh abelevykh grupp”, Matem. tr., 23:1 (2020), 169–176  mathnet  crossref
    9. N. Bazhenov, M. Marchuk, “A note on decidable categoricity and index sets”, Sib. elektron. matem. izv., 17 (2020), 1013–1026  mathnet  crossref
    10. M. I. Marchuk, “Razreshimaya kategorichnost pochti prostykh modelei signatury grafov”, Matem. tr., 24:1 (2021), 117–141  mathnet  crossref
  • Алгебра и логика Algebra and Logic
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