메뉴 건너뛰기




Volumn 26, Issue 2, 1997, Pages 369-400

Random debaters and the hardness of approximating stochastic functions

Author keywords

Approximation algorithms; Complexity theory; Probabilistic games; Proof systems; PSPACE

Indexed keywords


EID: 0000575605     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0097539793260738     Document Type: Article
Times cited : (35)

References (28)
  • 3
    • 84968014854 scopus 로고    scopus 로고
    • Probabilistic checking of proofs
    • IEEE Computer Society Press, Los Alamitos, CA
    • S. ARORA AND M. SAFRA, Probabilistic checking of proofs, in Proc. 33rd Symposium on Foundations of Computer Science, IEEE Computer Society Press, Los Alamitos, CA, 1992, pp. 2-13; final version, J. Assoc. Comput. Mach., to appear.
    • (1992) Proc. 33rd Symposium on Foundations of Computer Science , pp. 2-13
    • Arora, S.1    Safra, M.2
  • 4
    • 84968014854 scopus 로고    scopus 로고
    • final version, to appear
    • S. ARORA AND M. SAFRA, Probabilistic checking of proofs, in Proc. 33rd Symposium on Foundations of Computer Science, IEEE Computer Society Press, Los Alamitos, CA, 1992, pp. 2-13; final version, J. Assoc. Comput. Mach., to appear.
    • J. Assoc. Comput. Mach.
  • 5
    • 0023995534 scopus 로고
    • Arthur-Merlin games: A randomized proof system and a hierarchy of complexity classes
    • L. BABAI AND S. MORAN, Arthur-Merlin games: A randomized proof system and a hierarchy of complexity classes, J. Comput. System Sci., 36 (1988), pp. 254-276.
    • (1988) J. Comput. System Sci. , vol.36 , pp. 254-276
    • Babai, L.1    Moran, S.2
  • 8
    • 0040203449 scopus 로고
    • On the complexity of some coloring games
    • H. L. BODLAENDER, On the complexity of some coloring games, Internat. J. Found. Comput. Sci., 2 (1991), pp. 133-147.
    • (1991) Internat. J. Found. Comput. Sci. , vol.2 , pp. 133-147
    • Bodlaender, H.L.1
  • 11
    • 0027206131 scopus 로고    scopus 로고
    • Probabilistically checkable debate systems and nonapproximability of PSPACE-hard functions
    • A. CONDON, J. FEIGENBAUM, C. LUND, AND P. SHOR, Probabilistically checkable debate systems and nonapproximability of PSPACE-hard functions, Chicago J. Theoret. Comput. Sci., 1995, No. 4; extended abstract, Probabilistically checkable debate systems and approximation algorithms for PSPACE-hard functions, in Proc. 25th Symposium on Theory of Computing, ACM, New York, 1993, pp. 305-314.
    • Chicago J. Theoret. Comput. Sci. , vol.1995 , Issue.4
    • Condon, A.1    Feigenbaum, J.2    Lund, C.3    Shor, P.4
  • 12
    • 0027206131 scopus 로고    scopus 로고
    • Probabilistically checkable debate systems and approximation algorithms for PSPACE-hard functions
    • extended abstract, ACM, New York
    • A. CONDON, J. FEIGENBAUM, C. LUND, AND P. SHOR, Probabilistically checkable debate systems and nonapproximability of PSPACE-hard functions, Chicago J. Theoret. Comput. Sci., 1995, No. 4; extended abstract, Probabilistically checkable debate systems and approximation algorithms for PSPACE-hard functions, in Proc. 25th Symposium on Theory of Computing, ACM, New York, 1993, pp. 305-314.
    • (1993) Proc. 25th Symposium on Theory of Computing , pp. 305-314
  • 14
    • 0017007606 scopus 로고
    • A combinatorial problem which is complete in polynomial space
    • S. EVEN AND R. TARJAN, A combinatorial problem which is complete in polynomial space, J. Assoc. Comput. Mach., 23 (1976), pp. 710-719.
    • (1976) J. Assoc. Comput. Mach. , vol.23 , pp. 710-719
    • Even, S.1    Tarjan, R.2
  • 16
    • 0028583881 scopus 로고
    • Generalized CNF satisfiability problems and non-efficient approximability
    • IEEE Computer Society Press, Los Alamitos, CA
    • H. HUNT III, M. MARATHE, AND R. STEARNS, Generalized CNF satisfiability problems and non-efficient approximability, in Proc. 9th Conference on Structure in Complexity Theory, IEEE Computer Society Press, Los Alamitos, CA, 1994, pp. 356-366.
    • (1994) Proc. 9th Conference on Structure in Complexity Theory , pp. 356-366
    • Hunt III, H.1    Marathe, M.2    Stearns, R.3
  • 19
    • 0028514351 scopus 로고
    • On the hardness of approximating minimization problems
    • C. LUND AND M. YANNAKAKIS, On the hardness of approximating minimization problems, J. Assoc. Comput. Mach., 41 (1994), pp. 960-981.
    • (1994) J. Assoc. Comput. Mach. , vol.41 , pp. 960-981
    • Lund, C.1    Yannakakis, M.2
  • 20
    • 0041409078 scopus 로고
    • The complexity of approximating PSPACE-complete problems for hierarchical specifications
    • M. MARATHE, H. HUNT III, AND S. RAVI, The complexity of approximating PSPACE-complete problems for hierarchical specifications, Nordic J. Comput., 1 (1994), pp. 275-316.
    • (1994) Nordic J. Comput. , vol.1 , pp. 275-316
    • Marathe, M.1    Hunt III, H.2    Ravi, S.3
  • 21
    • 0028062302 scopus 로고    scopus 로고
    • Hierarchical specifications and polynomial-time approximation schemes for PSPACE-complete problems
    • ACM, New York
    • M. MARATHE, H. HUNT III, R. STEARNS, AND V. RADHAKRISHNAN, Hierarchical specifications and polynomial-time approximation schemes for PSPACE-complete problems, in Proc. 26th Symposium on Theory of Computing, ACM, New York, 1994, pp. 468-477; final version, Approximation algorithms for PSPACE-hard hierarchically and periodically specified problems, SIAM J. Comput., to appear.
    • (1994) Proc. 26th Symposium on Theory of Computing , pp. 468-477
    • Marathe, M.1    Hunt III, H.2    Stearns, R.3    Radhakrishnan, V.4
  • 22
    • 0028062302 scopus 로고    scopus 로고
    • Approximation algorithms for PSPACE-hard hierarchically and periodically specified problems
    • final version, to appear
    • M. MARATHE, H. HUNT III, R. STEARNS, AND V. RADHAKRISHNAN, Hierarchical specifications and polynomial-time approximation schemes for PSPACE-complete problems, in Proc. 26th Symposium on Theory of Computing, ACM, New York, 1994, pp. 468-477; final version, Approximation algorithms for PSPACE-hard hierarchically and periodically specified problems, SIAM J. Comput., to appear.
    • SIAM J. Comput.
  • 23
    • 84986985937 scopus 로고
    • The complexity of dynamic languages and dynamic optimization problems
    • ACM, New York
    • J. ORLIN, The complexity of dynamic languages and dynamic optimization problems, Proc. 13th Symposium on Theory of Computing, ACM, New York, 1981, pp. 218-227.
    • (1981) Proc. 13th Symposium on Theory of Computing , pp. 218-227
    • Orlin, J.1
  • 25
    • 0000922218 scopus 로고
    • On the complexity of some two-person perfect-information games
    • T. J. SCHAEFER, On the complexity of some two-person perfect-information games, J. Comput. System Sci., 16 (1978), pp. 185-225.
    • (1978) J. Comput. System Sci. , vol.16 , pp. 185-225
    • Schaefer, T.J.1
  • 28
    • 0000142982 scopus 로고
    • The complexity of enumeration and reliability problems
    • L. VALIANT, The complexity of enumeration and reliability problems, SIAM J. Comput., 8 (1979), pp. 410-421.
    • (1979) SIAM J. Comput. , vol.8 , pp. 410-421
    • Valiant, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.