See this document in CiteSeerX!

Random Debaters and the Hardness of Approximating Stochastic Functions (1997)  (Make Corrections)  (19 citations)
Anne Condon, Joan Feigenbaum, Carsten Lund, Peter Shor
Structure in Complexity Theory Conference



  Home/Search   Context   Related

 
View or download:
siam.org/sambin/getfile/S...26073.ps.Z


From:  siam.org/sambin/dbq/arti...26073 (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: . A probabilistically checkable debate system (PCDS) for a language L consists of a probabilistic polynomial-time verifier V and a debate between Player 1, who claims that the input x is in L, and Player 0, who claims that the input x is not in L. It is known that there is a PCDS for L in which V flips O(log n) coins and reads O(1) bits of the debate if and only if L is in PSPACE [A. Condon, J. Feigenbaum, C. Lund, and P. Shor, Chicago J. Theoret. Comput. Sci., 1995, No. 4]. In this paper, we ... (Update)

Context of citations to this paper:   More

.... techniques have found many other theoretical applications in complexity theory and cryptography, including new definitions of PSPACE [40] and PH [92] probabilistically checkable codes, zero knowledge proofs, checkable VLSI computations, etc. See [3] for a survey. One...

...x ## L, there is no y with y # q( x ) and with V (x, y) accepting with probability # 1 4. This idea can also be extended to pspace [10, 9], using a game that alternates between two players instead of a proof presented by a single player. Since the construction of reliable...

Cited by:   More
Making Games Short (Extended Abstract) - Feige, Kilian   (Correct)
Proof Verification and the Hardness of Approximation.. - Arora, Lund, Motwani.. (1992)   (Correct)
Strong Bounds on the Approximability of Two PSPACE-hard Problems.. - Jonsson   (Correct)

Similar documents (at the sentence level):
41.1%:   Random Debaters and the Hardness of Approximating Stochastic.. - Condon (1993)   (Correct)

Active bibliography (related documents):   More   All
0.4:   The Approximability of NP-hard Problems - Arora (1998)   (Correct)
0.3:   Some Applications of Coding Theory in Computational Complexity - Trevisan (2004)   (Correct)
0.3:   A Parallel Repetition Theorem - Raz (1998)   (Correct)

Similar documents based on text:   More   All
0.6:   Probabilistically Checkable Debate Systems and.. - Condon, Feigenbaum.. (1995)   (Correct)
0.3:   Probabilistically Checkable Debate Systems and - Approximation Algorithms For (1993)   (Correct)
0.3:   On Coherence, Random-Self-Reducibility, and.. - Feigenbaum, Fortnow.. (1998)   (Correct)

Related documents from co-citation:   More   All
15:   Algebraic methods for interactive proof systems - Lund, Fortnow et al. - 1992
12:   Proof verification and hardness of approximation problems - Lund, Motwani et al. - 1992
11:   Probabilistically checkable debate systems and approximation algorithms for PSPA.. - Condon, Feigenbaum et al. - 1993

BibTeX entry:   (Update)

A. Condon, J. Feigenbaum, C. Lund, and P. Shor. Random debaters and the hardness of approximating stochastic functions. In Proc. 9-th Annual IEEE Conference on Structure in Complexity Theory, pages 280--293. IEEE Computer Society Press, Los Alamitos, California, 1994. Full version to appear in SIAM Journal of Computing. http://citeseer.ist.psu.edu/condon97random.html   More

@inproceedings{ condon94random,
    author = "Anne Condon and Joan Feigenbaum and Carsten Lund and Peter W. Shor",
    title = "Random Debaters and the Hardness of Approximating Stochastic Functions",
    booktitle = "Structure in Complexity Theory Conference",
    pages = "280-293",
    year = "1994",
    url = "citeseer.ist.psu.edu/condon97random.html" }
Citations (may not include all citations):
403   Proof verification and hardness of approximation problems - Arora, Lund et al. - 1992  DBLP
300   the hardness of approximating minimization problems (context) - Lund, Yannakakis - 1994
274   A catalog of complexity classes (context) - Johnson - 1990  ACM   DBLP
172   Algebraic methods for interactive proof systems - Lund, Fortnow et al. - 1992  ACM   DBLP
163   The complexity of enumeration and reliability problems (context) - Valiant - 1979
141   The complexity of finite functions (context) - Boppana, Sipser - 1990  ACM   DBLP
108   Improved non-approximability results - Bellare, Sudan - 1994  ACM   DBLP
94   Interactive proofs and the hardness of approximating cliques - Feige, Goldwasser et al. - 1996  DBLP
79   Arthur--Merlin games: A randomized proof system and a hierar.. (context) - Babai, Moran - 1988
58   Games against nature (context) - Papadimitriou - 1985
37   Probabilistic checking of proofs (context) - Arora, Safra - 1992  ACM
22   the complexity of some two-person perfect-information games (context) - Schaefer - 1978
19   Random debaters and the hardness of approximating stochastic.. - Condon, Feigenbaum et al. - 1993
16   A combinatorial problem which is complete in polynomial spac.. (context) - Even, Tarjan - 1976
15   Generalized CNF satisfiability problems and non-e#cient appr.. (context) - Marathe, Stearns - 1994
11   the complexity of some coloring games - Bodlaender - 1991
10   The complexity of approximating PSPACE-complete problems for.. (context) - Marathe, Ravi - 1994  ACM
9   A theorem on probabilistic constant depth circuits (context) - Ajtai, Ben-Or - 1984
7   The complexity of dynamic languages and dynamic optimization.. (context) - Orlin - 1981
3   cient checking of polynomials and proofs and the hardness of.. (context) - Sudan - 1992
3   cient probabilistic checkable proofs and applications to app.. (context) - Bellare, Goldwasser et al. - 1993



The graph only includes citing articles where the year of publication is known.


Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC