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Problemy Peredachi Informatsii, 1973, Volume 9, Issue 3, Pages 115–116 (Mi ppi914)  

This article is cited in 21 scientific papers (total in 21 papers)

Сorrespondence

Universal Sequential Search Problems

L. A. Levin
Abstract: Several well-known large-scale problems of the “sequential search” type are discussed, and it is proved that those problems can be solved only in the time that it takes to solve any problems of the indicated type, in general.
Received: 07.06.1972
Bibliographic databases:
Document Type: Article
UDC: 519.14
Language: Russian
Citation: L. A. Levin, “Universal Sequential Search Problems”, Probl. Peredachi Inf., 9:3 (1973), 115–116; Problems Inform. Transmission, 9:3 (1973), 265–266
Citation in format AMSBIB
\Bibitem{Lev73}
\by L.~A.~Levin
\paper Universal Sequential Search Problems
\jour Probl. Peredachi Inf.
\yr 1973
\vol 9
\issue 3
\pages 115--116
\mathnet{http://mi.mathnet.ru/ppi914}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=340042}
\zmath{https://zbmath.org/?q=an:0313.02026}
\transl
\jour Problems Inform. Transmission
\yr 1973
\vol 9
\issue 3
\pages 265--266
Linking options:
  • https://www.mathnet.ru/eng/ppi914
  • https://www.mathnet.ru/eng/ppi/v9/i3/p115
  • This publication is cited in the following 21 articles:
    1. M. A. Posicelskaya, “Constructive combinatorics in elementary school mathematics”, Dokl. Math., 107:Suppl 1 (2023), S52–S77  mathnet  crossref  crossref  elib
    2. M. Rybakov, “Computational complexity of the word problem in modal and pseudo-Boolean algebras with a small number of generators”, Russian Math. (Iz. VUZ), 66:5 (2022), 33–48  mathnet  crossref  crossref  mathscinet
    3. A. A. Semenov, K. V. Antonov, I. A. Gribanova, “Porozhdenie dopolnitelnykh ogranichenii v zadachakh algebraicheskogo kriptoanaliza pri pomoschi SAT-orakulov”, PDM. Prilozhenie, 2021, no. 14, 104–110  mathnet  crossref
    4. M. N. Rybakov, “Slozhnost problemy ravenstva slov v mnogoobraziyakh modalnykh algebr”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2021, no. 3, 5–17  mathnet  crossref  elib
    5. Vladimir V. Rybakov, “Satisfiability in Boolean logic (SAT problem) is polynomial”, Zhurn. SFU. Ser. Matem. i fiz., 14:5 (2021), 667–671  mathnet  crossref
    6. I. I. Batyrshin, “Asymptotic density and computability”, Russian Math. (Iz. VUZ), 65:10 (2021), 1–9  mathnet  crossref  crossref
    7. Liu Ya. Pass R., “On the Possibility of Basing Cryptography on Exp Not Equal Bpp”, Advances in Cryptology (Crypto 2021), Pt i, Lecture Notes in Computer Science, 12825, ed. Malkin T. Peikert C., Springer International Publishing Ag, 2021, 11–40  crossref  mathscinet  zmath  isi  scopus
    8. G. V. Safonov, G. V. Bokov, V. B. Kudryavtsev, “On irreduceability of Boolean functions with respect to commutative associative operation”, Moscow University Mathematics Bulletin, 75:4 (2020), 169–171  mathnet  crossref  mathscinet  zmath  isi
    9. G. V. Bokov, “O grafovom rasshirenii metoda rezolyutsii dlya bulevykh formul”, Intellektualnye sistemy. Teoriya i prilozheniya, 23:3 (2019), 35–40  mathnet
    10. D. E. Gorbatenko, A. A. Semenov, “Protivodeistvie sgovoru v diskretnykh dinamicheskikh modelyakh kompyuternykh setei”, UBS, 75 (2018), 76–102  mathnet  crossref
    11. V. N. Zakharov, V. A. Kozmidiadi, “On relationships between complexity classes of Turing machines”, Comput. Math. Math. Phys., 57:4 (2017), 726–738  mathnet  crossref  crossref  mathscinet  isi  elib
    12. A. V. Sozykin, “Obzor metodov obucheniya glubokikh neironnykh setei”, Vestn. YuUrGU. Ser. Vych. matem. inform., 6:3 (2017), 28–59  mathnet  crossref  elib
    13. S. I. Nikolenko, D. S. Tugaryov, “A complete one-way function based on a free finite rank Z×Z-module”, J. Math. Sci. (N. Y.), 192:3 (2013), 307–315  mathnet  crossref  mathscinet
    14. A. D. Korshunov, “Some unsolved problems in discrete mathematics and mathematical cybernetics”, Russian Math. Surveys, 64:5 (2009), 787–803  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    15. A. A. Kozhevnikov, S. I. Nikolenko, “On complete one-way functions”, Problems Inform. Transmission, 45:2 (2009), 168–183  mathnet  crossref  mathscinet  zmath  isi
    16. J. Math. Sci. (N. Y.), 158:5 (2009), 727–740  mathnet  crossref  elib
    17. E. A. Hirsch, D. Yu. Grigor'ev, K. V. Pervyshev, “Time hierarchies for cryptographic function inversion with advice”, J. Math. Sci. (N. Y.), 158:5 (2009), 633–644  mathnet  crossref
    18. L. A. Levin, “One-Way Functions”, Problems Inform. Transmission, 39:1 (2003), 92–103  mathnet  crossref  mathscinet  zmath
    19. P. Vitani, M. Li, “Kolmogorovskaya slozhnost: dvadtsat let spustya”, UMN, 43:6(264) (1988), 129–166  mathnet  mathscinet  zmath
    20. A. O. Slisenko, “Complexity problems in computational theory”, Russian Math. Surveys, 36:6 (1981), 23–125  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы передачи информации Problems of Information Transmission
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