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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 274, Pages 329–342 (Mi tm3323)  
This article is cited in 10 scientific papers (total in 10 papers)

Interpolation properties for provability logics GL and GLP

Daniyar S. Shamkanov

Department of Mathematical Logic and Theory of Algorithms, Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
Full-text PDF (254 kB) Citations (10)
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Abstract: We study interpolation properties of provability logics. We prove the Lyndon interpolation for GL and the uniform interpolation for GLP.
Received in March 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 274, Pages 303–316
DOI: https://doi.org/10.1134/S0081543811060198
Bibliographic databases:
Document Type: Article
UDC: 510.6
Language: Russian
Citation: Daniyar S. Shamkanov, “Interpolation properties for provability logics GL and GLP”, Algorithmic aspects of algebra and logic, Collected papers. Dedicated to Academician Sergei Ivanovich Adian on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 274, MAIK Nauka/Interperiodica, Moscow, 2011, 329–342; Proc. Steklov Inst. Math., 274 (2011), 303–316
Citation in format AMSBIB
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\by Daniyar~S.~Shamkanov
\paper Interpolation properties for provability logics $\mathbf{GL}$ and $\mathbf{GLP}$
\inbook Algorithmic aspects of algebra and logic
\bookinfo Collected papers. Dedicated to Academician Sergei Ivanovich Adian on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2011
\vol 274
\pages 329--342
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • https://www.mathnet.ru/eng/tm/v274/p329
    • This publication is cited in the following 10 articles:
    1. Izv. Math., 89:1 (2025), 1–14  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. Haruka Kogure, Taishi Kurahashi, “Interpolation Properties for the Bimodal Provability Logic $GR$”, Stud Logica, 2025  crossref
    3. Amirhossein Akbar Tabatabai, Rosalie Iemhoff, Raheleh Jalali, “Uniform lyndon interpolation for basic non-normal modal and conditional logics”, Journal of Logic and Computation, 2024  crossref
    4. Yaroslav Petrukhin, “Provability multilattice logic”, Journal of Applied Non-Classical Logics, 32:4 (2022), 239  crossref
    5. Iwata S., “Interpolation Properties For Sacchetti'S Logics”, Advances in Mathematical Logic, Springer Proceedings in Mathematics & Statistics, 369, eds. Arai T., Kikuchi M., Kuroda S., Okada M., Yorioka T., Springer, 2021, 47–76  crossref  mathscinet  isi
    6. Amirhossein Akbar Tabatabai, Rosalie Iemhoff, Raheleh Jalali, Lecture Notes in Computer Science, 13038, Logic, Language, Information, and Computation, 2021, 287  crossref
    7. Kurahashi T., “Uniform Lyndon Interpolation Property in Propositional Modal Logics”, Arch. Math. Log., 59:5-6 (2020), 659–678  crossref  mathscinet  isi
    8. L. L. Maksimova, “The Lyndon property and uniform interpolation over the Grzegorczyk logic”, Siberian Math. J., 55:1 (2014), 118–124  mathnet  crossref  mathscinet  isi  elib  elib
    9. Beklemishev L.D. Fernandez-Duque D. Joosten J.J., “On Provability Logics with Linearly Ordered Modalities”, Stud. Log., 102:3 (2014), 541–566  crossref  mathscinet  zmath  isi  elib
    10. D. S. Shamkanov, “Circular Proofs for the Gödel–Löb Provability Logic”, Math. Notes, 96:4 (2014), 575–585  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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