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Dudakov Sergey Mikhailovich

Publications


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   2025
1. S. M. Dudakov, “Problems of algorithmic decidability and axiomatizability of finite subset algebra for binary operations”, Izv. Math., 89:2 (2025), 221–241  mathnet  crossref
2. S. M. Dudakov, “O stepeni nerazreshimosti teorii figur v lineinykh prostranstvakh”, Matematika i teoreticheskie kompyuternye nauki, 2:4 (2025), 51–65  crossref  elib
3. S. M. Dudakov, “On theories of the subsets algebra and the subspaces lattice for finite linear spaces”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2025, no. 1, 5–13  mathnet  crossref  elib

   2024
4. S. M. Dudakov, “On Finite Subsets Monoid with Decidable Theory”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2024, no. 2, 27–38  mathnet  crossref  elib

   2023
5. N. V. Avkhimovich, S. M. Dudakov, “On decidability of finite subsets’ theory for dense linear order”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2023, no. 1, 24–35  mathnet  crossref  elib

   2022
6. S. M. Dudakov, “On Undecidability of Finite Subsets Theory for Torsion Abelian Groups”, Mathematics, 10:3 (2022), 533 , 14 pp.  crossref  isi  elib  scopus
7. S. M. Dudakov, “On Jonsson varieties and quasivarieties”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 4, 5–10  mathnet  crossref  elib

   2021
8. S. M. Dudakov, B. N. Karlov, “On Decidability of Theories of Regular Languages”, Theory of Computing Systems, 65 (2021), 462–478  crossref  mathscinet  zmath  isi  elib  scopus
9. S. M. Dudakov, “On theory of finite subsets monoid for one torsion abelian group”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2021, no. 2, 39–55  mathnet  crossref  elib
10. S. M. Dudakov, B. N. Karlov, S. L. Kuznetsov, E. M. Fofanova, “Complexity of Lambek calculi with modalities and of total derivability in grammars”, Algebra and Logic, 60:5 (2021), 308–326  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
11. S. M. Dudakov, “On undecidability of subset theory for some monoids”, International Conference “Applied Mathematics, Computational Science and Mechanics: Current Problems”, AMCSM 2020 (Voronezh, december, 07-09, 2020), Journal of Physics: Conference Series, 1902, 2021, 012060 , 12 pp.  crossref  adsnasa  elib  scopus

   2020
12. S. M. Dudakov, “On definability of one-symbol languages in the monoid of finite languages with concatenation”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2020, no. 4, 5–13  mathnet  crossref  elib
13. S. M. Dudakov, “On Undecidability of Concatenation Theory for One-Symbol Languages”, Lobachevskii Journal of Mathematics, 41:2 (2020), 168–175  crossref  mathscinet  zmath  isi  elib  scopus

   2019
14. S. M. Dudakov, “On algorithmic properties of finite subset algebra for some unoids”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2019, no. 4, 108–116  mathnet  crossref  elib
15. S. M. Dudakov, “On computational complexity of successor theory with unary transitive closure”, Journal of Physics: Conference Series, 1202 (2019), 012018 (to appear) , 6 pp.  crossref  adsnasa  elib  scopus
16. S. M. Dudakov, B. N. Karlov, “On Decidability of Regular Languages Theories”, 14th International Computer Science Symposium in Russia, CSR 2019 (Novosibirsk, Russia, July 1–5, 2019), LNCS, 11532, 2019, 119–130 (to appear)  crossref  mathscinet  zmath  isi  elib  scopus
17. S. M. Dudakov, “On Safety of Unary and Nonunary IFP Operators”, Automatic Control and Computer Sciences, 53:7 (2019), 683–688  crossref  isi  elib  scopus

   2018
18. S. M. Dudakov, “On safety of unary and non-unary IFP-operators”, Model. Anal. Inform. Sist., 25:5 (2018), 525–533  mathnet  crossref  mathscinet  elib
19. S. M. Dudakov, “On bound of transfinite construction of inflationary fixed point”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 3, 72–80  mathnet  crossref  elib

   2017
20. S. M. Dudakov, “On expressive power of monadic transitive close logic over discrete order”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 4, 25–33  mathnet  crossref  elib

   2015
21. S. M. Dudakov, “On inflationary fix-point operators safety”, Lobachevskii Journal of Mathematics, 36:4 (2015), 328–331  crossref  mathscinet  zmath  isi  elib  scopus

   2013
22. S. M. Dudakov, “On Safety Of IFP-Operators And Recursive Queries”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2013, no. 2, 5–13  mathnet  elib
23. D. A. Archangelsky, B. S. Baizhanov, O. V. Belegradek, V. Ya. Belyaev, L. A. Bokut, M. K. Valiev, S. K. Vodopyanov, M. Gitik, Yu. S. Gurevich, D. O. Daderkin, A. M. Dekhtyar, M. I. Dekhtyar, A. Ya. Dikovsky, S. M. Dudakov, E. I. Zelmanov, B. I. Zilber, S. L. Krushkal, S. S. Kutateladze, Yu. V. Matiyasevich, G. E. Mints, I. Kh. Musikaev, A. K. Rebrov, Yu. G. Reshetnyak, A. L. Semenov, A. P. Stolboushkin, I. A. Taimanov, B. A. Trakhtenbrot, “Mikhail Abramovich Taitslin (1936–2013)”, Sib. Èlektron. Mat. Izv., 10 (2013), 54–65  mathnet

   2012
24. S. M. Dudakov, “On safety of recursive queries”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, no. 4, 71–80  mathnet  elib

   2011
25. S. M. Dudakov, “Monadic structures over an ordered universal random graph and finite automata”, Izv. Math., 75:5 (2011), 915–932  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
26. S. M. Dudakov, “Sufficient conditions for effective translation of locally generic queries”, J. Math. Sci., 172:5 (2011), 654–662  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2009
27. S. M. Dudakov, “Algorithmic complexity of NP-hard sets”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2009, no. 13, 97–101  mathnet  elib

   2008
28. S. M. Dudakov, “Effective translation of extended $ <$ - invariant formulas in $ <$- bounded”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2008, no. 10, 5–24  mathnet  elib
29. S. M. Dudakov, “Effective translation of extended $ <$ - invariant formulas in $ <$ -bounded in Semenov arithmetic”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2008, no. 8, 65–75  mathnet  elib
Full list of publications


© Steklov Math. Inst. of RAS, 2025