메뉴 건너뛰기




Volumn , Issue , 2012, Pages 609-618

New limits to classical and quantum instance compression

Author keywords

instance compression; kernelization; polynomial hierarchy; quantum compression

Indexed keywords

BOOLEAN FORMULAE; COMPRESSION SCHEME; HARD DECISIONS; INFORMATION BOTTLENECK; INSTANCE COMPRESSION; KERNELIZATION; POLYNOMIAL HIERARCHIES; POLYNOMIAL-TIME; POLYNOMIAL-TIME REDUCTION; PROOF SYSTEM; QUANTUM STATE; TECHNICAL TOOLS; ZERO KNOWLEDGE PROOF;

EID: 84871978983     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FOCS.2012.71     Document Type: Conference Paper
Times cited : (57)

References (34)
  • 2
    • 37149054237 scopus 로고    scopus 로고
    • Invitation to data reduction and problem kernelization
    • J. Guo and R. Niedermeier, "Invitation to data reduction and problem kernelization," SIGACT News, vol. 38, no. 1, pp. 31-45, 2007.
    • (2007) SIGACT News , vol.38 , Issue.1 , pp. 31-45
    • Guo, J.1    Niedermeier, R.2
  • 3
    • 77049090296 scopus 로고    scopus 로고
    • On the compressibility of NP instances and cryptographic applications
    • D. Harnik and M. Naor, "On the compressibility of NP instances and cryptographic applications," SIAM J. Comput., vol. 39, no. 5, pp. 1667-1713, 2010.
    • (2010) SIAM J. Comput. , vol.39 , Issue.5 , pp. 1667-1713
    • Harnik, D.1    Naor, M.2
  • 4
    • 78349307386 scopus 로고    scopus 로고
    • Infeasibility of instance compression and succinct PCPs for NP
    • L. Fortnow and R. Santhanam, "Infeasibility of instance compression and succinct PCPs for NP," J. Comput. Syst. Sci., vol. 77, no. 1, pp. 91-106, 2011.
    • (2011) J. Comput. Syst. Sci. , vol.77 , Issue.1 , pp. 91-106
    • Fortnow, L.1    Santhanam, R.2
  • 6
    • 84880284742 scopus 로고    scopus 로고
    • Cross-composition: A new technique for kernelization lower bounds
    • H. L. Bodlaender, B. M. P. Jansen, and S. Kratsch, "Cross- composition: A new technique for kernelization lower bounds," in STACS, 2011, pp. 165-176.
    • (2011) STACS , pp. 165-176
    • Bodlaender, H.L.1    Jansen, B.M.P.2    Kratsch, S.3
  • 7
    • 70350371667 scopus 로고    scopus 로고
    • Incompressibility through colors and IDs
    • M. Dom, D. Lokshtanov, and S. Saurabh, "Incompressibility through colors and IDs," in 36th ICALP, 2009, pp. 378-389.
    • (2009) 36th ICALP , pp. 378-389
    • Dom, M.1    Lokshtanov, D.2    Saurabh, S.3
  • 8
    • 77954743445 scopus 로고    scopus 로고
    • Satisfiability allows no nontrivial sparsification unless the polynomial-time hierarchy collapses
    • H. Dell and D. van Melkebeek, "Satisfiability allows no nontrivial sparsification unless the polynomial-time hierarchy collapses," in 42nd ACM STOC, 2010, pp. 251-260.
    • (2010) 42nd ACM STOC , pp. 251-260
    • Dell, H.1    Van Melkebeek, D.2
  • 9
    • 79960556512 scopus 로고    scopus 로고
    • Kernel bounds for disjoint cycles and disjoint paths
    • H. L. Bodlaender, S. Thomassé, and A. Yeo, "Kernel bounds for disjoint cycles and disjoint paths," Theor. Comput. Sci., vol. 412, no. 35, pp. 4570-4578, 2011.
    • (2011) Theor. Comput. Sci. , vol.412 , Issue.35 , pp. 4570-4578
    • Bodlaender, H.L.1    Thomassé, S.2    Yeo, A.3
  • 10
    • 84858380790 scopus 로고    scopus 로고
    • Kernel bounds for path and cycle problems
    • H. L. Bodlaender, B. M. P. Jansen, and S. Kratsch, "Kernel bounds for path and cycle problems," in IPEC, 2011, pp. 145-158.
    • (2011) IPEC , pp. 145-158
    • Bodlaender, H.L.1    Jansen, B.M.P.2    Kratsch, S.3
  • 12
    • 79952243308 scopus 로고    scopus 로고
    • Lower bounds for kernelizations and other preprocessing procedures
    • Y. Chen, J. Flum, and M. Müller, "Lower bounds for kernelizations and other preprocessing procedures," Theory Comput. Syst., vol. 48, no. 4, pp. 803-839, 2011.
    • (2011) Theory Comput. Syst. , vol.48 , Issue.4 , pp. 803-839
    • Chen, Y.1    Flum, J.2    Müller, M.3
  • 13
    • 84860172570 scopus 로고    scopus 로고
    • Weak compositions and their applications to polynomial lower bounds for kernelization
    • D. Hermelin and X. Wu, "Weak compositions and their applications to polynomial lower bounds for kernelization," in 23rd ACM-SIAM SODA, 2012, pp. 104-113.
    • 23rd ACM-SIAM SODA, 2012 , pp. 104-113
    • Hermelin, D.1    Wu, X.2
  • 15
    • 84860212607 scopus 로고    scopus 로고
    • Co-nondeterminism in compositions: A kernelization lower bound for a Ramsey-type problem
    • S. Kratsch, "Co-nondeterminism in compositions: a kernelization lower bound for a Ramsey-type problem," in 23rd ACM-SIAM SODA, 2012, pp. 114-122.
    • 23rd ACM-SIAM SODA, 2012 , pp. 114-122
    • Kratsch, S.1
  • 18
    • 0037473943 scopus 로고    scopus 로고
    • PSPACE has constant-round quantum interactive proof systems
    • J. Watrous, "PSPACE has constant-round quantum interactive proof systems," Theor. Comput. Sci., vol. 292, no. 3, pp. 575-588, 2003.
    • (2003) Theor. Comput. Sci. , vol.292 , Issue.3 , pp. 575-588
    • Watrous, J.1
  • 20
    • 0344794410 scopus 로고    scopus 로고
    • A complete problem for statistical zero knowledge
    • A. Sahai and S. P. Vadhan, "A complete problem for statistical zero knowledge," J. ACM, vol. 50, no. 2, pp. 196-249, 2003.
    • (2003) J. ACM , vol.50 , Issue.2 , pp. 196-249
    • Sahai, A.1    Vadhan, S.P.2
  • 23
    • 84898062350 scopus 로고    scopus 로고
    • Generalised pinsker inequalities
    • M. D. Reid and R. C. Williamson, "Generalised pinsker inequalities," in COLT, 2009.
    • (2009) COLT
    • Reid, M.D.1    Williamson, R.C.2
  • 24
    • 0001226672 scopus 로고    scopus 로고
    • A parallel repetition theorem
    • R. Raz, "A parallel repetition theorem," SIAM J. Comput., vol. 27, no. 3, pp. 763-803, 1998.
    • (1998) SIAM J. Comput. , vol.27 , Issue.3 , pp. 763-803
    • Raz, R.1
  • 26
    • 0027983376 scopus 로고    scopus 로고
    • Simple strategies for large zero-sum games with applications to complexity theory
    • R. J. Lipton and N. E. Young, "Simple strategies for large zero-sum games with applications to complexity theory," in 26th ACM STOC, 1994, pp. 734-740.
    • 26th ACM STOC, 1994 , pp. 734-740
    • Lipton, R.J.1    Young, N.E.2
  • 27
    • 21344478425 scopus 로고
    • On sparse approximations to randomized strategies and convex combinations
    • no.
    • I. Althöfer, "On sparse approximations to randomized strategies and convex combinations," Linear Algebra and its Applications, vol. 199, Supplement 1, no. 0, pp. 339-355, 1994.
    • (1994) Linear Algebra and Its Applications , vol.199 , Issue.SUPPL. 1 , pp. 339-355
    • Althöfer, I.1
  • 28
    • 0032606505 scopus 로고    scopus 로고
    • Optimal lower bounds for quantum automata and random access codes
    • A. Nayak, "Optimal lower bounds for quantum automata and random access codes," in 40th IEEE FOCS, 1999, pp. 369-377.
    • 40th IEEE FOCS, 1999 , pp. 369-377
    • Nayak, A.1
  • 30
    • 85068530809 scopus 로고    scopus 로고
    • Two theorems on random polynomial time
    • L. M. Adleman, "Two theorems on random polynomial time," in 19th IEEE FOCS, 1978, pp. 75-83.
    • 19th IEEE FOCS, 1978 , pp. 75-83
    • Adleman, L.M.1
  • 31
    • 0023604155 scopus 로고
    • The complexity of perfect zero-knowledge
    • (extended abstract), A. V. Aho, Ed.
    • L. Fortnow, "The complexity of perfect zero-knowledge (extended abstract)," in 19th ACM STOC, A. V. Aho, Ed., 1987, pp. 204-209.
    • (1987) 19th ACM STOC , pp. 204-209
    • Fortnow, L.1
  • 32
    • 0026172266 scopus 로고
    • Statistical zero-knowledge languages can be recognized in two rounds
    • W. Aiello and J. Håstad, "Statistical zero-knowledge languages can be recognized in two rounds," J. Comput. Syst. Sci., vol. 42, no. 3, pp. 327-345, 1991.
    • (1991) J. Comput. Syst. Sci. , vol.42 , Issue.3 , pp. 327-345
    • Aiello, W.1    Håstad, J.2
  • 33
    • 0034140357 scopus 로고    scopus 로고
    • On relationships between statistical zeroknowledge proofs
    • T. Okamoto, "On relationships between statistical zeroknowledge proofs," J. Comput. Syst. Sci., vol. 60, no. 1, pp. 47-108, 2000.
    • (2000) J. Comput. Syst. Sci. , vol.60 , Issue.1 , pp. 47-108
    • Okamoto, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.