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Nondeterministic exponential time has two-prover interactive protocols

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3 Author(s)
Babai, L. ; Chicago Univ., IL, USA ; Fortnow, L. ; Lund, C.

The exact power of two-prover interactive proof systems (MIP) introduced by M. Ben-Or et al. (Proc. 20th Symp. on Theory of Computing, 1988, p.113-31) is determined. In this system, two all-powerful noncommunicating provers convince a randomizing polynomial-time verifier in polynomial time that the input x belongs to the language L. It was previously suspected (and proved in a relativized sense) that coNP-complete languages do not admit such proof systems. In sharp contrast, it is shown that the class of languages having two-prover interactive proof systems is computable in nondeterministic exponential time (NEXP). This represents a further step demonstrating the unexpectedly immense power for randomization and interaction in efficient provability

Published in:

Foundations of Computer Science, 1990. Proceedings., 31st Annual Symposium on

Date of Conference:

22-24 Oct 1990