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Volumn , Issue , 2001, Pages 702-708

Which formulae shrink under random restrictions?

Author keywords

Algorithms; Theory; Verification

Indexed keywords


EID: 0039034000     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (1)

References (12)
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    • And87a A.E. Andreev. A method for obtaining efficient lower bounds for monotone complexity. Algebra and Logica, 26:1-18, 1987.
    • And87a A.E. Andreev. A method for obtaining efficient lower bounds for monotone complexity. Algebra and Logica, 26:1-18, 1987.
  • 2
    • 64049100660 scopus 로고    scopus 로고
    • And87b A.E. Andreev. On a method for obtaining more than guadratic effective lower bounds for the complexity of a-schemes. Vestnik Moskov. Univ. Mat., 42, 1987. (In Russian.) English translation in Moscow Univ. Math. Bull. 42:63-66, 1987.
    • And87b A.E. Andreev. On a method for obtaining more than guadratic effective lower bounds for the complexity of a-schemes. Vestnik Moskov. Univ. Mat., 42, 1987. (In Russian.) English translation in Moscow Univ. Math. Bull. 42:63-66, 1987.
  • 3
    • 0039648384 scopus 로고    scopus 로고
    • GM97 Arvind Gupta, Sanjeev Mahajan, Using amplification to compute majority with small majority gates, Computational Complexity, v.6 n.1, p.46-63, 1996/1997[doi〉10.1007/BF01202041
    • GM97 Arvind Gupta, Sanjeev Mahajan, Using amplification to compute majority with small majority gates, Computational Complexity, v.6 n.1, p.46-63, 1996/1997[doi〉10.1007/BF01202041]
  • 4
    • 0004003953 scopus 로고    scopus 로고
    • Hâs98 Johan HÅ stad, The Shrinkage Exponent of de Morgan Formulas is 2, SIAM Journal on Computing, v.27 n.1, p.48-64, Feb. 1998 [doi〉10.1137/S0097539794261556]
    • Hâs98 Johan HÅ stad, The Shrinkage Exponent of de Morgan Formulas is 2, SIAM Journal on Computing, v.27 n.1, p.48-64, Feb. 1998 [doi〉10.1137/S0097539794261556]
  • 5
    • 64049109207 scopus 로고    scopus 로고
    • Kva96 H. Kvartin. Formulae with 3-bit majority gates. Master's thesis, Department of Computer Science, Tel Aviv University, 1996.
    • Kva96 H. Kvartin. Formulae with 3-bit majority gates. Master's thesis, Department of Computer Science, Tel Aviv University, 1996.
  • 6
    • 84990716822 scopus 로고    scopus 로고
    • NI93 N. Nisan and R. Impagliazzo. The effect of random restrictions on formulae size. Random Structures Algorithms, 4:121-133, 1993
    • NI93 N. Nisan and R. Impagliazzo. The effect of random restrictions on formulae size. Random Structures Algorithms, 4:121-133, 1993.
  • 7
    • 64049092355 scopus 로고    scopus 로고
    • Pos41 E.L. Post. The two-valued iterative systems of mathematical logic. Annals of Math. Studies, 5, 1941. Princeton University Press, N.J.
    • Pos41 E.L. Post. The two-valued iterative systems of mathematical logic. Annals of Math. Studies, 5, 1941. Princeton University Press, N.J.
  • 8
    • 0039033999 scopus 로고    scopus 로고
    • PZ93a Michael Paterson, Uri Zwick, Shallow circuits and concise formulae for multiple addition and multiplication, Computational Complexity, v.3 n.3, p.262-291, July 1993 [doi〉10.1007/BF01271371
    • PZ93a Michael Paterson, Uri Zwick, Shallow circuits and concise formulae for multiple addition and multiplication, Computational Complexity, v.3 n.3, p.262-291, July 1993 [doi〉10.1007/BF01271371]
  • 9
    • 84990671465 scopus 로고    scopus 로고
    • PZ93b M. Paterson and U. Zwick. Shrinkage of de Morgan formulae under restriction. Random Structures Algorithms, 4:135-150, 1993
    • PZ93b M. Paterson and U. Zwick. Shrinkage of de Morgan formulae under restriction. Random Structures Algorithms, 4:135-150, 1993.
  • 10
    • 64049097199 scopus 로고    scopus 로고
    • Rok70 M.M. Rokhlina. On formulae for improving reliability. Problemy Kibernetiki, 23:295-301, 1970. (In Russian.).
    • Rok70 M.M. Rokhlina. On formulae for improving reliability. Problemy Kibernetiki, 23:295-301, 1970. (In Russian.).
  • 11
    • 64049091977 scopus 로고    scopus 로고
    • Sub61 B.A. Subbotovskaya. Realizations of linear functions by formulas using +, *,-. Doklady Akademii Nauk SSSR, 136:553-555, 1961. (In Russian.) English translation in SovietMathematics Doklady, 2:110- 112, 1961.
    • Sub61 B.A. Subbotovskaya. Realizations of linear functions by formulas using +, *,-. Doklady Akademii Nauk SSSR, 136:553-555, 1961. (In Russian.) English translation in SovietMathematics Doklady, 2:110- 112, 1961.
  • 12
    • 0000378392 scopus 로고    scopus 로고
    • Val84 L.G. Valiant. Short monotone formulae for the majority function. Journal of Algorithms, 5:363-366, 1984.
    • Val84 L.G. Valiant. Short monotone formulae for the majority function. Journal of Algorithms, 5:363-366, 1984.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.