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Semenov Aleksei Lvovich
Semenov Aleksei Lvovich
Member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences


Birth date: 13.10.1950
E-mail:
Keywords: Decidability of logical theories, definability in structures word combinatorics, symbolic dynamics, almost periodic sequences definability, reducts, Svenonius theorem
UDC: 517.11, 519.9, 510.53, 510.6, 621.391.1, 519.2, 510.5, 519.101, 517.938, 510.635

Subject:

Mathematical Foundation of Computer Science


Main publications:
  1. S. A. Polikarpov, A. L. Semenov, “Mathematics for the 21th Century School: The Russian Experience and International Prospects”, Proceedings of the 13th international Congress on Mathematical Education (ICME-13). (Hamburg 2016), eds. Gabriele Kaiser, Springer International Publishing AG, Cham, Switzerland, 2017, 675–676  crossref
  2. A. L. Semenov, “O realizatsii kontseptsii matematicheskogo obrazovaniya”, Nauka i shkola, 6 (2016), 3
  3. A. L. Semenov, S. F. Soprunov, “A combinatorial version of the Svenonius theorem on definability”, Log. J. IGPL, 23:6 (2015), 966–975  mathnet  crossref  isi
  4. A. L. Semenov, “O fundamentalnykh ponyatiyakh kibernetiki i informatiki”, Vestnik kibernetiki, 3(19) (2015), 22–26  elib
  5. A. Semenov, S. Soprunov, V. Uspensky, “The lattice of definability. Origins, recent developments, and further directions”, Computer science—theory and applications, Lecture Notes in Comput. Sci., 8476, Springer, Cham, 2014, 23–38  crossref  mathscinet  zmath  scopus
  6. A. L. Semenov, S. F. Soprunov, “Finite quantifier hierarchies in relational algebras”, Proc. Steklov Inst. Math., 274 (2011), 267–272  mathnet  crossref  mathscinet  isi  elib  elib  scopus
  7. A. L. Semenov, S. F. Soprunov, Lattice of relational algebras definable in integers with successor, 2011 , arXiv: 1201.4439
  8. An. A. Muchnik, Yu. L. Pritykin, A. L. Semenov, “Sequences close to periodic”, Russian Math. Surveys, 64:5 (2009), 805–871  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
  9. Alexei Semenov, Information and Communication Technologies in Schools. A Handbook for Teachers or How ICT Can Create New, Open Learning Environments, UNESCO, Paris, 2005 , 327 pp.; A. L. Semenov, Informatsionnye i kommunikatsionnye tekhnologii v obschem obrazovanii: teoriya i praktika. Avtorizovannyi per. s angl., pererabotannyi i dopolnennyi, YuNESKO, 2006 , 327 pp.
  10. An. A. Muchnik, A. L. Semenov, “On the Role of the Law of Large Numbers in the Theory of Randomness”, Problems Inform. Transmission, 39:1 (2003), 119–147  mathnet  crossref  mathscinet  zmath
  11. A. L. Semenov, A. A. Muchnik, “An Improvement of Kolmogorov’s Estimates Related to Random Number Generators and a Definition of Randomness in terms of complexity”, Dokl. Akad. Nauk, 68:1 (2003), 132–134  mathnet  mathscinet  zmath
  12. A. Muchnik, A. Semenov, M. Ushakov, “Almost periodic sequences”, Theoret. Comput. Sci., 304:1-3 (2003), 1–33  crossref  mathscinet  zmath  isi  scopus
  13. Alexei Semenov, Andrej Muchnik, “40 years of the Origin of Kolmgorov Randomness Theory”, Sb. Kolmogorov i sovremennaya matematika. Tezisy dokladov Mezhdunarodnoi konferentsii, posvyaschennoi 100-letiyu so dnya rozhdeniya A. N. Kolmogorova (Moskva, 16 – 21 iyunya 2003), Izdatelstvo mekhaniko-matematicheskogo fakulteta MGU, 2003, 677–678  mathscinet
  14. A. A. Muchnik, A. L. Semenov, V. A. Uspensky, “Mathematical metaphysics of randomness”, Theoret. Comput. Sci., 207:2 (1998), 263–317  crossref  mathscinet  zmath  isi  scopus
  15. A. L. Semenov, “Informatika v rossiiskoi srednei shkole: doklad na plenarnom zasedanii II Mezhdunarodnogo kongressa YuNESKO «Obrazovanie i informatika»”, Informatika i obrazovanie, 5 (1996), 29
  16. V. Uspensky, A. Semenov, Algorithms: main ideas and applications, Mathematics and its Applications, 251, Kluwer Academic Publishers Group, Dordrecht, 1993 , xii+269 pp.  mathscinet
  17. V. A. Uspensky, A. L. Semenov, “Kolmogorov’s Algorithms or Machines”, Selected Works of A. N. Kolmogorov. Vol. III. Information and the Theory of Algorithms., III, Math. Appl. Kluwer Academic Publishers, 1993, 251–260  crossref  mathscinet
  18. V. A. Uspenskii, A. L. Semenov, A. Kh. Shen', “Can an individual sequence of zeros and ones be random?”, Russian Math. Surveys, 45:1 (1990), 121–189  mathnet  crossref  mathscinet  zmath  adsnasa  isi
  19. V. A. Uspenskii, A. L. Semenov, “Algoritmy, ili mashiny Kolmogorova”, A. N. Kolmogorov. Teoriya informatsii i teoriya algoritmov. Izbrannye trudy, eds. A. N. Shiryaev, Nauka, Moskva, 1987, 279–289  mathscinet
  20. V. A. Uspenskii, A. L. Semenov, Teoriya algoritmov: osnovnye otkrytiya i prilozheniya, Bibliotechka programmista, Nauka, 1987 , 288 pp.  mathscinet  zmath
  21. A. L. Semenov, V. A. Uspenskii, “Matematicheskaya logika v vychislitelnykh naukakh i vychislitelnoi praktike”, Vestnik Akademii nauk SSSR, 56:7 (1986), 93–103  mathscinet  isi
  22. A. L. Semenov, “Decidability of monadic theories”, Mathematical foundations of computer science, 1984 (Prague, 1984), Lecture Notes in Comput. Sci., 176, Springer, Berlin, 1984, 162–175  crossref  mathscinet  scopus
  23. A. L. Semenov, “Logical theories of one-place functions on the set of natural numbers”, Math. USSR-Izv., 22:3 (1984), 587–618  mathnet  crossref  mathscinet  zmath
  24. A. L. Semenov, “On certain extensions of the arithmetic of addition of natural numbers”, Math. USSR-Izv., 15:2 (1980), 401–418  mathnet  crossref  mathscinet  zmath  isi
  25. A. L. Semenov, “Regulyarnost yazykov, $k$-lineinykh dlya razlichnykh $k$”, Doklady Akademii nauk SSSR, 215 (1974), 278–281  mathnet  mathscinet  zmath
  26. A. L. Semenov, “Algorthmic Problems for Power Series and Context-free Grammars”, Soviet Mathematics, 14 (1973), 1319  mathnet  mathscinet  mathscinet  zmath

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