Pavel Semukhin

Senior researcher
Department of Computer Science
University of Oxford

Email:  





Research interests:  reachability problems, automata theory, algorithmic learning theory, computability theory.


PhD Thesis:
    Topics in Computable Model Theory, The University of Auckland, 2008.
    PostScript –  PDF
 


List of Publications:
  1. P. Bell, I. Potapov and P. Semukhin, On the mortality problem: from multiplicative matrix equations to linear recurrence sequences and beyond, accepted to MFCS, 2019.
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  2. T. Colcombet, J. Ouaknine, P. Semukhin and J. Worrell, On reachability problems for low-dimensional matrix semigroups, ICALP, 44:1–44:15, 2019.
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  3. I. Potapov and P. Semukhin, Vector and Scalar reachability problem in SL(2, Z), J. Computer and System Sciences, 100: 30–43, 2019.
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  4. I. Potapov and P. Semukhin, Membership problem in GL(2, Z) extended by singular matrices, MFCS, 44:1–44:13, 2017.
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  5. I. Potapov and P. Semukhin, Decidability of the membership problem for 2×2 integer matrices, SODA, 170–186, 2017.
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  6. I. Potapov and P. Semukhin, Vector reachability problem in SL(2, Z), MFCS, 84:1–84:14, 2016.
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  7. E. Fokina, B. Khoussainov, P. Semukhin and D. Turetsky, Linear orders realized by c.e. equivalence relations, J. Symbolic Logic, 81(2): 463–482, 2016.
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  8. R. Samei, P. Semukhin, B. Yang and S. Zilles, Sample Compression for Multi-label Concept Classes, extended journal version, preprint.
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  9. R. Samei, P. Semukhin, B. Yang and S. Zilles, Sample Compression for Multi-label Concept Classes, Conference on Learning Theory, COLT, 371–393, 2014.
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  10. R. Samei, P. Semukhin, B. Yang and S. Zilles, Algebraic methods proving Sauer's bound for teaching complexity, Theoretical Computer Science, 558: 35–50, 2014.
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  11. J. Case, S. Jain, Y. Ong, P. Semukhin and F. Stephan, Automatic learners with feedback queries, J. Computer and System Sciences, 80(4): 806–820, 2014.
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  12. R. Samei, P. Semukhin, B. Yang and S. Zilles, Sauer's bound for a notion of teaching complexity, Algorithmic Learning Theory, ALT 2012. Proceedings. Springer LNAI 7568: 96–110, 2012.
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  13. P. Semukhin and F. Stephan, Automatic models of first-order theories, Annals of Pure and Applied Logic, 164(9): 837–854, 2013.
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  14. J. Case, S. Jain, T. Le, Y. Ong, P. Semukhin and F. Stephan, Automatic learning of subclasses of pattern languages, Information and Computation, 218: 17–35, 2012. Language and Automata Theory and Applications, LATA 2011. Proceedings. Springer LNCS 6638: 192–203, 2011.
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  15. J. Case, S. Jain, Y. Ong, P. Semukhin and F. Stephan, Automatic learners with feedback queries, Computability in Europe, CiE 2011. Proceedings. Springer LNCS 6735: 31–40, 2011.
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  16. S. Jain, Q. Luo, P. Semukhin, F. Stephan, Uncountable automatic classes and learning, Theoretical Computer Science, 412(19): 1805–1820, 2011. Algorithmic Learning Theory, ALT 2009. Proceedings. Springer LNAI 5809: 293–307, 2009.
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  17. P. Semukhin, Prime models of finite computable dimension, J. Symbolic Logic, 74(1): 336–348, 2009.
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  18. A. Nies, P. Semukhin, Finite automata presentable abelian groups, Annals of Pure and Applied Logic, 161(3): 458–467, 2009.
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  19. B. Khoussainov, P. Semukhin, F. Stephan, Applications of Kolmogorov complexity to computable model theory, J. Symbolic Logic, 72(3): 1041–1054, 2007.
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  20. A. Nies, P. Semukhin, Finite automata presentable abelian groups, Proc. of Logical Foundations of Computer Science, LFCS, 422–436, 2007.
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  21. B. Khoussainov, T. Slaman, P. Semukhin, Π01-presentations of algebras, Arch. Math. Logic, 45(6): 769–781, 2006.
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  22. D. Hirschfeldt, B. Khoussainov, P. Semukhin, An uncountably categorical theory whose only computably presentable model is saturated, Notre Dame J. Formal Logic 47(1): 63–71, 2006.
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  23. P. Semukhin, Degree spectra of definable relations on Boolean algebras, Sibirsk. Mat. Zh. 46(4): 928–941, 2005; translation in Siberian Math. J. 46(4): 740–750, 2005.
      PDF (in English)
      PDF (in Russian)
  24. P. Semukhin, Spectrum of the ideal of atomless elements in a recursive Boolean algebra, Vestnik NGU, Ser. Mat. Mekh. Inform. (Bull. of Novosibirsk State Univ., Series: math., mech. and informatics) 1(2): 108–111, 2001.

Editorial works:
  1. I. Potapov and P. Semukhin, Special issue: Developments in Language Theory (DLT 2015), Int. J. Foundations of Computer Science, 29(2), 2018.

Conference talks:
  1. On reachability problems for low-dimensional matrix semigroups,
    International Colloquium on Automata, Languages and Programming, Patras, July, 2019.
  2. Mortality problem for bounded languages and linear recurrence sequences,
    International Conference on Reachability Problems, Marseille, September, 2018.
  3. Membership problem in GL(2, Z) extended by singular matrices,
    International Conference on Reachability Problems, London, September, 2017.
  4. Membership Problem in GL(2, Z) extended by Singular Matrices,
    Mathematical Foundations of Computer Science, Aalborg, August, 2017.
  5. Membership problem for 2×2 nonsingular integer matrices,
    Computability in Europe, Turku, June, 2017.
  6. Decidability of the Membership problem for 2×2 integer matrices,
    Symposium of Discrete Algorithms, Barcelona, January, 2017.
  7. Decidability of the Membership problem for 2×2 integer matrices,
    International Conference on Reachability Problems, Aalborg, September, 2016.
  8. Vector reachability problem in SL(2, Z),
    Mathematical Foundations of Computer Science, Krakow, August, 2016.
  9. Decidability of reachability problems in SL(2, Z),
    Logic Colloquium, Leeds, August, 2016.
  10. Degree spectra of structures under Σ1-equivalence,
    Logic Colloquium, Vienna, July, 2014.
  11. Automatic models of first-order theories,
    Invited talk at AMS Spring Western Section Meeting, Honolulu, HI, March, 2012.
  12. Automatic models of first-order theories,
    Workshop on Automata Theory and Applications, Singapore, September, 2011.
  13. Uncountable automatic classes and learning,
    Algorithmic Learning Theory, Porto, October, 2009.
  14. Prime models of finite computable dimension,
    Computability in Europe, Heidelberg, July, 2009.
  15. Finite automata presentable abelian groups,
    Logical Foundations of Computer Science symposium, New York, June, 2007.
  16. Applications of Kolmogorov complexity to computable model theory,
    Workshop on Computability, Randomness and Model Theory, Auckland, 2006.
  17. On Π01-presentations of algebras,
    The 9th Asian Logic Conference, Novosibirsk, August, 2005.
  18. Spectrum of the Atomless Elements Ideal,
    Proceedings of the workshop "Computability and models", Almaty, June 24–28, 2002.