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On the Power of Multi-Prover Interactive Protocols (1988)  (Make Corrections)  (93 citations)
Lance Fortnow, John Rompel, Michael Sipser
Theoretical Computer Science



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Abstract: this paper we consider a further generalization of the proof system model, due to Ben-Or, Goldwasser, Kilian and Wigderson [6], where instead of a single prover there may be many. This apparently gives the model additional power. The intuition for this may be seen by considering the case of two criminal suspects who are under interrogation to see if they are guilty of together robbing a bank. Of course they (the provers) are trying to convince Scotland Yard (the verifier) of their innocence.... (Update)

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BibTeX entry:   (Update)

L. Fortnow, J. Rompel, and M. Sipser. On the power of multi-prover interactive protocols. In Proc. of the 3rd Conference on Structure in Complexity Theory, pages 156--161, 1988. http://citeseer.ist.psu.edu/fortnow88power.html   More

@article{ fortnow94power,
    author = "Lance Fortnow and John Rompel and Michael Sipser",
    title = "On the power of multi-prover interactive protocols",
    journal = "Theoretical Computer Science",
    volume = "134",
    number = "2",
    pages = "545--557",
    year = "1994",
    url = "citeseer.ist.psu.edu/fortnow88power.html" }
Citations (may not include all citations):
531   The knowledge complexity of interactive proof-systems (context) - Goldwasser, Micali et al. - 1989
403   Proof verification and hardness of approximation problems - Arora, Lund et al. - 1992
242   Non-deterministic exponential time has two-prover interactiv.. - Babai, Fortnow et al. - 1991
219   and complexity classes (context) - Papadimitriou, Yannakakis et al. - 1991
212   Probabilistic checking of proofs: A new characterization of .. - Arora, Safra - 1992
203   Approximating clique is almost NP-complete (context) - Feige, Goldwasser et al. - 1991
194   Proofs that yield nothing but their validity or all language.. (context) - Goldreich, Micali et al. - 1991
192   Designing programs that check their work - Blum, Kannan - 1989
173   Trading group theory for randomness (context) - Babai - 1985
172   Algebraic methods for interactive proof systems - Lund, Fortnow et al. - 1992
98   Private coins versus public coins in interactive proof syste.. (context) - Goldwasser, Sipser - 1989
93   the power of multi-prover interactive protocols - Fortnow, Rompel et al. - 1988
87   Arthur-Merlin games: a randomized proof system (context) - Babai, Moran - 1988
83   Multi-prover interactive proofs: How to remove intractabilit.. (context) - Ben-Or, Goldwasser et al. - 1988
73   Does co-NP have short interactive proofs (context) - Boppana, Hastad et al. - 1987
70   The complexity of perfect zero-knowledge - Fortnow - 1989
69   Two-prover one-round proof systems: Their power and their pr.. (context) - Feige, Lov'asz - 1992
65   Journal of the ACM (context) - Shamir, PSPACE - 1992
49   Fully parallelized multi prover protocols for NEXP-time (context) - Lapidot, Shamir - 1991
39   On completeness and soundness in interactive proof systems - Furer, Goldreich et al. - 1989
18   Are there interactive protocols for co-NP languages - Fortnow, Sipser - 1988
17   PSPACE is provable by two provers in one round - Cai, Condon et al. - 1991
14   the success probability of the two provers in one round proo.. (context) - Feige - 1991
14   Complexity-theoretic aspects of interactive proof systems - Fortnow - 1989
10   On bounded round multi-prover interactive proof systems (context) - Cai, Condon et al. - 1990
8   Self-testing and self-correcting programs (context) - Blum, Luby et al. - 1990
2   Theoretical Computer Science (context) - Cai, Condon et al. - 1992
1   ACM Distinguised Dissertation (context) - Kilian, Randomness et al. - 1990
1   From scratch to byzantine agreement in constant expected tim.. (context) - Feldman, Micali - 1988



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