메뉴 건너뛰기




Volumn 1090, Issue , 1996, Pages 127-135

A note on uniform circuit lower bounds for the counting hierarchy

Author keywords

[No Author keywords available]

Indexed keywords

COMBINATORIAL MATHEMATICS;

EID: 84948968276     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-61332-3_145     Document Type: Conference Paper
Times cited : (7)

References (17)
  • 1
    • 0027624212 scopus 로고
    • Almost-everywhere complexity hierarchies for nondeterministic time
    • [ABHH]
    • [ABHH] E. Allender, Richard Beigel, Ulrich Hertrampf, and Steven Homer, Almost-everywhere complexity hierarchies for nondeterministic time, Theoretical Computer Science 115 (1993) 225-242.
    • (1993) Theoretical Computer Science , vol.115 , pp. 225-242
    • Allender, E.1    Beigel, R.2    Hertrampf, U.3    Homer, S.4
  • 2
    • 0028516587 scopus 로고
    • A uniform circuit lower bound for the permanent
    • [AG94]
    • [AG94] E. Allender and Vivek Gore, A uniform circuit lower bound for the permanent, SIAM Journal on Computing 23 (1994) 1026-1049.
    • (1994) SIAM Journal on Computing , vol.23 , pp. 1026-1049
    • Allender, E.1    Gore, V.2
  • 8
    • 0002127588 scopus 로고
    • Parity, circuits, and the polynomial-time hierarchy
    • [FSS84]
    • [FSS84] M. Furst, J. Saxe, and M. Sipser, Parity, circuits, and the polynomial-time hierarchy, Mathematical Systems Theory 17 (1984) 13-27.
    • (1984) Mathematical Systems Theory , vol.17 , pp. 13-27
    • Furst, M.1    Saxe, J.2    Sipser, M.3
  • 11
    • 0000883554 scopus 로고    scopus 로고
    • Lower bounds on the size of bounded depth networks over a complete basis with logical addition
    • English translation in Mathematical Notes of the Academy of Sciences of the USSR 41: 4, 333-338. [Ra87]
    • [Ra87] A. A. Razborov, Lower bounds on the size of bounded depth networks over a complete basis with logical addition, Mathematicheskie Zametki 41(4), 598-607. English translation in Mathematical Notes of the Academy of Sciences of the USSR 41: 4, 333-338.
    • Mathematicheskie Zametki , vol.41 , Issue.4 , pp. 598-607
    • Razborov, A.A.1
  • 13
    • 84976764290 scopus 로고
    • Separating nondeterministic time complexity classes
    • [SFM78]
    • [SFM78] J. Seiferas, M. Fischer, and A. Meyer, Separating nondeterministic time complexity classes, J. ACM 25 (1978) 146-167.
    • (1978) J. ACM , vol.25 , pp. 146-167
    • Seiferas, J.1    Fischer, M.2    Meyer, A.3
  • 14
    • 0023570259 scopus 로고    scopus 로고
    • Algebraic methods in the theory of lower bounds for Boolean circuit complexity
    • [Sm87]
    • [Sm87] R. Smolensky, Algebraic methods in the theory of lower bounds for Boolean circuit complexity, Proc. 19th ACM Symposium on Theory of Computing, pp. 77-82.
    • Proc. 19th ACM Symposium on Theory of Computing , pp. 77-82
    • Smolensky, R.1
  • 15
    • 0022733806 scopus 로고    scopus 로고
    • The complexity of combinatorial problems with succinct input representation
    • [Wa86]
    • [Wa86] K. W. Wagner, The complexity of combinatorial problems with succinct input representation, Acta Informatica 23, 325-356.
    • Acta Informatica , vol.23 , pp. 325-356
    • Wagner, K.W.1
  • 17
    • 0000589271 scopus 로고
    • A Turing machine hierarchy
    • [Z83]
    • [Z83] S. Zák, A Turing machine hierarchy, Theoretical Computer Science 26 (1983) 327-333.
    • (1983) Theoretical Computer Science , vol.26 , pp. 327-333
    • Zák, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.