@article{IIGUM_2011_4_1_a7,
author = {I. V. Otpuschennikov and A. A. Semenov},
title = {Transformations of discrete functions calculation algorithms to boolean equations},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {83--96},
year = {2011},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2011_4_1_a7/}
}
TY - JOUR AU - I. V. Otpuschennikov AU - A. A. Semenov TI - Transformations of discrete functions calculation algorithms to boolean equations JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2011 SP - 83 EP - 96 VL - 4 IS - 1 UR - http://geodesic.mathdoc.fr/item/IIGUM_2011_4_1_a7/ LA - ru ID - IIGUM_2011_4_1_a7 ER -
%0 Journal Article %A I. V. Otpuschennikov %A A. A. Semenov %T Transformations of discrete functions calculation algorithms to boolean equations %J The Bulletin of Irkutsk State University. Series Mathematics %D 2011 %P 83-96 %V 4 %N 1 %U http://geodesic.mathdoc.fr/item/IIGUM_2011_4_1_a7/ %G ru %F IIGUM_2011_4_1_a7
I. V. Otpuschennikov; A. A. Semenov. Transformations of discrete functions calculation algorithms to boolean equations. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 1, pp. 83-96. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_1_a7/
[1] A. Akho, Dzh. Khopkroft, Dzh. Ulman, Postroenie i analiz vychislitelnykh algoritmov, Mir, M., 1979, 536 pp. | MR
[2] M. Geri, D. Dzhonson, Vychislitelnye mashiny i trudnoreshaemye zadachi, Mir, M., 1982, 416 pp. | MR
[3] M. A. Posypkin, O. S. Zaikin, D. V. Bespalov, A. A. Semenov, “Reshenie zadach kriptoanaliza potochnykh shifrov v raspredelennykh vychislitelnykh sredakh”, Tr. ISA RAN, 46, 2009, 119–137
[4] A. A. Semenov, “Translyatsiya algoritmov vychisleniya diskretnykh funktsii v vyrazheniya propozitsionalnoi logiki”, Prikladnye algoritmy v diskretnom analize, Diskretnyi analiz i informatika, 2, Izd-vo IGU, Irkutsk, 2008, 70–98
[5] A. A. Semenov, “O preobrazovaniyakh Tseitina v logicheskikh uravneniyakh”, Prikladnaya diskretnaya matematika, 2009, no. 4, 28–50
[6] N. A. Kolchanov, S. S. Goncharov, V. A. Likhoshvai, V. A. Ivanisenko (red.), Sistemnaya kompyuternaya biologiya, Izd.-vo SO RAN, Novosibirsk, 2008, 767 pp.
[7] A. A. Semenov, O. S. Zaikin, D. V. Bespalov, A. A. Ushakov, “SAT-podkhod v kriptoanalize nekotorykh sistem potochnogo shifrovaniya”, Vychisl. tekhnologii, 13:6 (2008), 134–150 | Zbl
[8] G. S. Tseitin, “O slozhnosti vyvoda v ischislenii vyskazyvanii”, Zap. nauch. seminarov LOMI AN SSSR, 8, 1968, 234–259
[9] S. A. Cook, “The complexity of theorem-proving procedures”, Proc. 3rd Ann. ACM Symp. on Theory of Computing, STOC 71, ACM, 1971, 151–159
[10] S. A. Cook, G. Mitchel, “Finding hard instances of the satisfiability problem: A survey”, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 35 (1997), 1–17 | MR | Zbl
[11] A. Menezes, P. Oorschot, S. Vanstone, Handbook of Applied Cryptography, CRC Press, 1996, 657 pp.
[12] F. Massacci, L. Marraro, “Logical Cryptanalysis as a SAT Problem”, Journal of Automated Reasoning, 24:1–2 (2000), 165–203 | DOI | MR | Zbl
[13] S. Prestwich, “CNF encodings”, Handbook of Satisfiability, eds. A. Biere, M. Heule, H. van Maaren, T. Walsh, IOS Press, 2009, 75–97
[14] http://embedded.eecs.berkeley.edu/pubs/downloads/espresso