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Volumn 180, Issue 1-2, 1997, Pages 243-268

Optimal bounds for the approximation of boolean functions and some applications

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; LOGIC CIRCUITS; MATHEMATICAL OPERATORS; OPTIMIZATION;

EID: 0346047434     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(96)00217-4     Document Type: Article
Times cited : (6)

References (28)
  • 1
    • 85117087055 scopus 로고
    • Measure on small complexity classes, with applications for BPP
    • E. Allender and M. Strauss, Measure on small complexity classes, with applications for BPP, in: Proc. 35th IEEE-FOCS (1994) 807-818.
    • (1994) Proc. 35th IEEE-FOCS , pp. 807-818
    • Allender, E.1    Strauss, M.2
  • 3
    • 0345752970 scopus 로고
    • The universal principle of self-correction
    • in Russian
    • A.E. Andreev, (1985), The universal principle of self-correction, Mat. Sbornik 127 (169) (6) 147-172 (in Russian); an English translation appears in: Math. USSR Sbornik 55 (1) (1986) 145-169.
    • (1985) Mat. Sbornik , vol.127 , Issue.6-169 , pp. 147-172
    • Andreev, A.E.1
  • 4
    • 0347644985 scopus 로고
    • an English translation appears
    • A.E. Andreev, (1985), The universal principle of self-correction, Mat. Sbornik 127 (169) (6) 147-172 (in Russian); an English translation appears in: Math. USSR Sbornik 55 (1) (1986) 145-169.
    • (1986) Math. USSR Sbornik , vol.55 , Issue.1 , pp. 145-169
  • 5
    • 0040820377 scopus 로고
    • On the complexity of the realization of partial Boolean functions by circuits of functional elements
    • in Russian
    • A.E. Andreev, On the complexity of the realization of partial Boolean functions by circuits of functional elements, Diskret. Mat. 1 (1989) 36-45 (in Russian); an English translation appears in: J. Discrete Math. Appl. 1 (1989) 251-262.
    • (1989) Diskret. Mat. , vol.1 , pp. 36-45
    • Andreev, A.E.1
  • 6
    • 0345752971 scopus 로고
    • an English translation appears
    • A.E. Andreev, On the complexity of the realization of partial Boolean functions by circuits of functional elements, Diskret. Mat. 1 (1989) 36-45 (in Russian); an English translation appears in: J. Discrete Math. Appl. 1 (1989) 251-262.
    • (1989) J. Discrete Math. Appl. , vol.1 , pp. 251-262
  • 7
    • 84947774278 scopus 로고    scopus 로고
    • Optimal bounds for the approximation of boolean functions and some applications
    • Proc. XIII Annual Symp. on Theoretical Aspects of Computer Science (STACS'96), Springer, Berlin
    • A. Andreev, A. Clementi and J. Rolim, Optimal bounds for the approximation of boolean functions and some applications (extended abstract), in: Proc. XIII Annual Symp. on Theoretical Aspects of Computer Science (STACS'96), Lecture Notes in Computer Science, Vol. 1046 (Springer, Berlin, 1996) 319-330.
    • (1996) Lecture Notes in Computer Science , vol.1046 , pp. 319-330
    • Andreev, A.1    Clementi, A.2    Rolim, J.3
  • 8
    • 0021522644 scopus 로고
    • How to generate cryptographically strong sequences of pseudorandom bits
    • M. Blum and S. Micali, How to generate cryptographically strong sequences of pseudorandom bits, J. SIAM, 13 (4) (1984) 850-864.
    • (1984) J. SIAM , vol.13 , Issue.4 , pp. 850-864
    • Blum, M.1    Micali, S.2
  • 9
    • 0037708071 scopus 로고
    • Pseudorandom generators and complexity classes
    • S. Micali ed., Randomness and Computation, JAI Press, London
    • R.B. Boppana and Y. Hirshfield, Pseudorandom generators and complexity classes, in: S. Micali ed., Randomness and Computation, Adv. in Comput. Res., Vol. 5 (JAI Press, London, 1989) 1-26.
    • (1989) Adv. in Comput. Res. , vol.5 , pp. 1-26
    • Boppana, R.B.1    Hirshfield, Y.2
  • 10
    • 0000392346 scopus 로고
    • The complexity of finite boolean functions
    • J. van Leeuwen, ed., Ch. 14 Elsevier, Amsterdam
    • R.B. Boppana and M. Sipser, The complexity of finite boolean functions, in: J. van Leeuwen, ed., Handbook of Theoretical Computer Science, Vol. A, Ch. 14 (Elsevier, Amsterdam, 1990) 759-804.
    • (1990) Handbook of Theoretical Computer Science , vol.A , pp. 759-804
    • Boppana, R.B.1    Sipser, M.2
  • 12
    • 0000182415 scopus 로고
    • A measure of asymptotic efficiency for tests of a hypothesis on the sum of observations
    • H. Chernoff, A measure of asymptotic efficiency for tests of a hypothesis on the sum of observations, Ann. Math. Statist. 23, (1952) 493-507.
    • (1952) Ann. Math. Statist. , vol.23 , pp. 493-507
    • Chernoff, H.1
  • 14
    • 0025383763 scopus 로고
    • A guided tour of Chernoff bounds
    • T. Hagerup and C. Rub, A guided tour of Chernoff bounds, IPL 33 (1990) 305-308.
    • (1990) IPL , vol.33 , pp. 305-308
    • Hagerup, T.1    Rub, C.2
  • 16
    • 0242402989 scopus 로고
    • About gating and contact-gating circuits
    • O.B. Lupanov, About gating and contact-gating circuits, Dokl. Akad. Nauk SSSR 111 (1956) 1171-11744.
    • (1956) Dokl. Akad. Nauk SSSR , vol.111 , pp. 1171-11744
    • Lupanov, O.B.1
  • 17
    • 0039589579 scopus 로고
    • About a method circuits design -local coding principle
    • in Russian
    • O.B. Lupanov, About a method circuits design -local coding principle, Problemy Kibernet. 10 (1965) 31-110 (in Russian).
    • (1965) Problemy Kibernet. , vol.10 , pp. 31-110
    • Lupanov, O.B.1
  • 18
    • 0012529110 scopus 로고
    • Complexity in electronic switching circuits
    • D.M. Mueller, Complexity in electronic switching circuits, IRE Trans. Electron Comput. 5 (1956) 15-19.
    • (1956) IRE Trans. Electron Comput. , vol.5 , pp. 15-19
    • Mueller, D.M.1
  • 19
    • 0347014157 scopus 로고
    • About the complexity of gating circuits for the partial boolean matrix
    • E.I. Nechiporuk, About the complexity of gating circuits for the partial boolean matrix, Dokl. Akad. Nauk SSSR 163 (1965) 40-42.
    • (1965) Dokl. Akad. Nauk SSSR , vol.163 , pp. 40-42
    • Nechiporuk, E.I.1
  • 21
    • 0028516244 scopus 로고
    • Hardness vs. randomness
    • N. Nisan and A. Wigderson, Hardness vs. randomness, J. Comput. System Sci. 49 (1994) 149-167 (presented also at the 29th IEEE FOCS, 1988).
    • (1994) J. Comput. System Sci. , vol.49 , pp. 149-167
    • Nisan, N.1    Wigderson, A.2
  • 22
    • 0028516244 scopus 로고
    • N. Nisan and A. Wigderson, Hardness vs. randomness, J. Comput. System Sci. 49 (1994) 149-167 (presented also at the 29th IEEE FOCS, 1988).
    • (1988) 29th IEEE FOCS
  • 23
    • 0012620291 scopus 로고
    • Information theory and the complexity of Boolean functions
    • N. Pippenger, Information theory and the complexity of Boolean functions, Math. Systems Theory 10 (1977) 129-167.
    • (1977) Math. Systems Theory , vol.10 , pp. 129-167
    • Pippenger, N.1
  • 25
    • 84938487169 scopus 로고
    • The synthesis of two-terminal switching circuits
    • C.E. Shannon, The synthesis of two-terminal switching circuits, Bell. Syst. Tech. J. 28 (1949) 59-98.
    • (1949) Bell. Syst. Tech. J. , vol.28 , pp. 59-98
    • Shannon, C.E.1
  • 26
    • 0242654806 scopus 로고
    • About realization of partial boolean functions by circuits from functional elements
    • L.A. Sholomov, About realization of partial boolean functions by circuits from functional elements, Problemy Kibernet. 21 (1969) 215-226.
    • (1969) Problemy Kibernet. , vol.21 , pp. 215-226
    • Sholomov, L.A.1
  • 27
    • 0004203012 scopus 로고
    • The complexity of Finite Boolean Functions
    • Teuber, Stuttgart/Wiley, Chichester
    • I. Wegener, The complexity of Finite Boolean Functions, Wiley-Teubner Series in Computer Science (Teuber, Stuttgart/Wiley, Chichester/1987).
    • (1987) Wiley-Teubner Series in Computer Science
    • Wegener, I.1
  • 28
    • 0020301290 scopus 로고
    • Theory and applications of trapdoor functions
    • A.C. Yao, Theory and applications of trapdoor functions, in: Proc. 23th IEEE-FOGS (1982) 80-91.
    • (1982) Proc. 23th IEEE-FOGS , pp. 80-91
    • Yao, A.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.