메뉴 건너뛰기




Volumn , Issue , 2007, Pages 70-82

Time-space tradeoffs for counting NP solutions modulo integers

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATA THEORY; BRANCH AND BOUND METHOD; INTEGER PROGRAMMING; PROBLEM SOLVING; TIME DOMAIN ANALYSIS;

EID: 34748867982     PISSN: 10930159     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCC.2007.34     Document Type: Conference Paper
Times cited : (7)

References (35)
  • 1
    • 0028516587 scopus 로고
    • A uniform circuit lower bound for the permanent
    • E. Allender and V. Gore. A uniform circuit lower bound for the permanent. SIAM J Comput. 23:1026-1049, 1994.
    • (1994) SIAM J Comput , vol.23 , pp. 1026-1049
    • Allender, E.1    Gore, V.2
  • 5
    • 0031638395 scopus 로고    scopus 로고
    • NP might not be as easy as detecting unique solutions
    • R. Beigel, H. Buhrman, and L. Fortnow. NP might not be as easy as detecting unique solutions. In Proc. ACM STOC, 203-208, 1998.
    • (1998) Proc. ACM STOC , vol.203-208
    • Beigel, R.1    Buhrman, H.2    Fortnow, L.3
  • 6
    • 0026910450 scopus 로고
    • Counting classes: Thresholds, parity, mods, and fewness
    • R. Beigel and J. Gill. Counting classes: thresholds, parity, mods, and fewness. Theoretical Computer Science 103(1):3-23, 1992.
    • (1992) Theoretical Computer Science , vol.103 , Issue.1 , pp. 3-23
    • Beigel, R.1    Gill, J.2
  • 7
    • 0024714327 scopus 로고
    • Time-space tradeoffs for reversible computation
    • C. H. Bennett. Time-space tradeoffs for reversible computation. SIAM J. Comput. 18:766-776, 1989.
    • (1989) SIAM J. Comput , vol.18 , pp. 766-776
    • Bennett, C.H.1
  • 8
    • 0035823466 scopus 로고    scopus 로고
    • Time and Space Bounds for Reversible Simulation
    • H. Buhrman, J. Tromp, and P. Vitanyi. Time and Space Bounds for Reversible Simulation. J. Phys. A: Math Gen. 34:6821-6830, 2001.
    • (2001) J. Phys. A: Math Gen , vol.34 , pp. 6821-6830
    • Buhrman, H.1    Tromp, J.2    Vitanyi, P.3
  • 9
    • 8744240609 scopus 로고
    • On the power of parity polynomial time
    • Proc. Symposium on Theoretical Aspects of Computer Science STACS
    • J.-Y. Cai and L. A. Hemachandra. On the power of parity polynomial time. In Proc. Symposium on Theoretical Aspects of Computer Science (STACS), Springer LNCS 349, 229-240, 1989.
    • (1989) Springer LNCS , vol.349 , pp. 229-240
    • Cai, J.-Y.1    Hemachandra, L.A.2
  • 10
    • 33746335976 scopus 로고    scopus 로고
    • Some Results on Matchgates and Holographic Algorithms
    • Proc. of ICALP Springer-Verlag, 703-714
    • J.-Y. Cai and V. Choudhary. Some Results on Matchgates and Holographic Algorithms. In Proc. of ICALP Vol. 1, Springer-Verlag LNCS, 703-714, 2006.
    • (2006) LNCS , vol.1
    • Cai, J.-Y.1    Choudhary, V.2
  • 11
    • 34748903666 scopus 로고    scopus 로고
    • J.-Y. Cai and P. Lu. Bases Collapse in Holographic Algorithms. To appear in Proc. IEEE Conference on Computational Complexity, 2007.
    • J.-Y. Cai and P. Lu. Bases Collapse in Holographic Algorithms. To appear in Proc. IEEE Conference on Computational Complexity, 2007.
  • 15
    • 34250800420 scopus 로고    scopus 로고
    • Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines
    • S. Diehl and D. van Melkebeek. Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines. SIAM J Comput. 36: 563-594, 2006.
    • (2006) SIAM J Comput , vol.36 , pp. 563-594
    • Diehl, S.1    van Melkebeek, D.2
  • 16
    • 50249162912 scopus 로고    scopus 로고
    • Nondeterministic Polynomial Time Versus Nondeterministic Logarithmic Space: Time-Space Tradeoffs for Satisfiability
    • L. Fortnow. Nondeterministic Polynomial Time Versus Nondeterministic Logarithmic Space: Time-Space Tradeoffs for Satisfiability. In Proc. IEEE Conference on Computational Complexity, 52-60, 1997.
    • (1997) Proc. IEEE Conference on Computational Complexity , pp. 52-60
    • Fortnow, L.1
  • 17
    • 33745197972 scopus 로고    scopus 로고
    • Time-Space Lower Bounds for Satisfiability
    • L. Fortnow, R. Lipton, D. Van Melkebeek, and A. Viglas. Time-Space Lower Bounds for Satisfiability. JACM 52(6):835-865, 2005.
    • (2005) JACM , vol.52 , Issue.6 , pp. 835-865
    • Fortnow, L.1    Lipton, R.2    Van Melkebeek, D.3    Viglas, A.4
  • 19
    • 34748895446 scopus 로고    scopus 로고
    • A Degree-Decreasing Lemma for (MOD-q - MOD-p) Circuits
    • V. Grolmusz. A Degree-Decreasing Lemma for (MOD-q - MOD-p) Circuits. Disc. Math, and Theor. Comp. Sci. 4(2):247-254, 2001.
    • (2001) Disc. Math, and Theor. Comp. Sci , vol.4 , Issue.2 , pp. 247-254
    • Grolmusz, V.1
  • 20
    • 0032330819 scopus 로고    scopus 로고
    • Isolating an Odd Number of Elements and Applications in Complexity Theory
    • S. Gupta. Isolating an Odd Number of Elements and Applications in Complexity Theory. Theory of Computing Systems 31:27-40, 1998.
    • (1998) Theory of Computing Systems , vol.31 , pp. 27-40
    • Gupta, S.1
  • 21
    • 0020891102 scopus 로고
    • Alternation and the power of nondeterminism
    • R. Kannan. Alternation and the power of nondeterminism. In Proceedings of ACM STOC, 344-346, 1983.
    • (1983) Proceedings of ACM STOC , vol.344-346
    • Kannan, R.1
  • 22
    • 0002036117 scopus 로고
    • Towards Separating Nondeterminism from Determinism
    • R. Kannan. Towards Separating Nondeterminism from Determinism. Mathematical Systems Theory 17(1):29-45, 1984.
    • (1984) Mathematical Systems Theory , vol.17 , Issue.1 , pp. 29-45
    • Kannan, R.1
  • 23
    • 0036588881 scopus 로고    scopus 로고
    • Graph Nonisomorphism Has Subexponential Size Proofs Unless the Polynomial-Time Hierarchy Collapses
    • A. Klivans and D. Van Melkebeek. Graph Nonisomorphism Has Subexponential Size Proofs Unless the Polynomial-Time Hierarchy Collapses. SIAM J. Comput. 31:1501-1526, 2002.
    • (2002) SIAM J. Comput , vol.31 , pp. 1501-1526
    • Klivans, A.1    Van Melkebeek, D.2
  • 25
    • 0023288434 scopus 로고
    • Speed-Up of Turing Machines with One Work Tape and a Two-Way Input Tape
    • W. Maass and A. Schorr. Speed-Up of Turing Machines with One Work Tape and a Two-Way Input Tape. SIAM J Comput. 16(1): 195-202, 1987.
    • (1987) SIAM J Comput , vol.16 , Issue.1 , pp. 195-202
    • Maass, W.1    Schorr, A.2
  • 27
    • 0000496365 scopus 로고
    • Rudimentary predicates and Turing calculations
    • V. Nepomnjascii. Rudimentary predicates and Turing calculations. Soviet Math Doklady 11:1462-1465, 1970.
    • (1970) Soviet Math Doklady , vol.11 , pp. 1462-1465
    • Nepomnjascii, V.1
  • 28
    • 0001594533 scopus 로고
    • Counting Classes are at Least as Hard as the Polynomial-Time Hierarchy
    • S. Toda and M. Ogiwara. Counting Classes are at Least as Hard as the Polynomial-Time Hierarchy. SIAM J. Comput. 21(2):316-328, 1992.
    • (1992) SIAM J. Comput , vol.21 , Issue.2 , pp. 316-328
    • Toda, S.1    Ogiwara, M.2
  • 30
    • 0023570259 scopus 로고
    • Algebraic methods in the theory of lower bounds for Boolean circuit complexity
    • R. Smolensky. Algebraic methods in the theory of lower bounds for Boolean circuit complexity. In Proc. ACM STOC, 77-82, 1987.
    • (1987) Proc. ACM STOC , vol.77-82
    • Smolensky, R.1
  • 31
    • 0040484892 scopus 로고    scopus 로고
    • Time-Space Tradeoffs for SAT on Nonuniform Machines
    • I. Tourlakis. Time-Space Tradeoffs for SAT on Nonuniform Machines. J. Computer and System Sciences 63(2): 268-287, 2001.
    • (2001) J. Computer and System Sciences , vol.63 , Issue.2 , pp. 268-287
    • Tourlakis, I.1
  • 32
    • 0022911518 scopus 로고
    • NP is as easy as detecting unique solutions
    • L. Valiant and V. Vazirani. NP is as easy as detecting unique solutions. TCS 47(1):85-93, 1986.
    • (1986) TCS , vol.47 , Issue.1 , pp. 85-93
    • Valiant, L.1    Vazirani, V.2
  • 33
    • 17744373330 scopus 로고    scopus 로고
    • Holographic algorithms
    • L. Valiant. Holographic algorithms. In Proc. IEEE FOCS, 306-315, 2004.
    • (2004) Proc. IEEE FOCS , vol.306-315
    • Valiant, L.1
  • 34
    • 35448942437 scopus 로고    scopus 로고
    • Accidental algorithms
    • L. Valiant. Accidental algorithms. In Proc. IEEE FOCS, 509-517, 2006.
    • (2006) Proc. IEEE FOCS , vol.509-517
    • Valiant, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.