|
ABSTRACT
In this paper, it is proven that when both randomization and interaction are allowed, the proofs that can be verified in polynomial time are exactly those proofs that can be generated with polynomial space.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
 |
1
|
|
| |
2
|
|
| |
3
|
|
| |
4
|
~FORTNOW, L., AND StPSER, M. Interactive proof systems with a log space verifier. Unpub- ~lished manuscript, 1988.
|
| |
5
|
|
| |
6
|
~GOLDREICH, O., MICALI, S., AND WIGDERSON, m. Proofs that yield nothing but the validity of ~the assertion and a methodology of cryptographic protocol design. In Proceedings of 27th ~ Symposium on Foundations of Computer Science. IEEE, New York, 1986, pp. 174-187.
|
 |
7
|
|
 |
8
|
S Goldwasser , S Micali , C Rackoff, The knowledge complexity of interactive proof-systems, Proceedings of the seventeenth annual ACM symposium on Theory of computing, p.291-304, May 06-08, 1985, Providence, Rhode Island, United States
[doi> 10.1145/22145.22178]
|
| |
9
|
~LIPTON, R. New directions in testing. Unpublished manuscript, 1989.
|
| |
10
|
~LUND, C., FORTNOW, L., KARLOFF, H., AND NISAN, N. Algebraic methods for interactive ~proof systems. In Proceedings of 31st Symposium on Fottndations of Computer Science. {EEE, ~New York, 1990, pp. 2-90.
|
| |
11
|
~TODA, S. On the computational power of PP and ~ P. In Proceedings of 30th Symposium on ~Foundations of Computer Science. IEEE, New York, 1989, pp. 514-519.
|
| |
12
|
~VALIANT, L. The complexity of computing the permanent. Theoret. Comput. Sci. 8 (1979), ~189-201.
|
CITED BY 60
|
|
|
|
|
|
|
|
Ran Raz , Shmuel Safra, A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP, Proceedings of the twenty-ninth annual ACM symposium on Theory of computing, p.475-484, May 04-06, 1997, El Paso, Texas, United States
|
|
|
|
|
|
|
|
|
|
|
|
Giovanni Di Crescenzo , Kouichi Sakurai , Moti Yung, On zero-knowledge proofs (extended abstract): “from membership to decision”, Proceedings of the thirty-second annual ACM symposium on Theory of computing, p.255-264, May 21-23, 2000, Portland, Oregon, United States
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Daphne Koller , Nimrod Megiddo , Bernhard von Stengel, Fast algorithms for finding randomized strategies in game trees, Proceedings of the twenty-sixth annual ACM symposium on Theory of computing, p.750-759, May 23-25, 1994, Montreal, Quebec, Canada
|
|
|
|
|
|
|
|
|
|
|
|
Alexei Kitaev , John Watrous, Parallelization, amplification, and exponential time simulation of quantum interactive proof systems, Proceedings of the thirty-second annual ACM symposium on Theory of computing, p.608-617, May 21-23, 2000, Portland, Oregon, United States
|
|
|
Anne Condon , Joan Feigenbaum , Carsten Lund , Peter Shor, Probabilistically checkable debate systems and approximation algorithms for PSPACE-hard functions, Proceedings of the twenty-fifth annual ACM symposium on Theory of computing, p.305-314, May 16-18, 1993, San Diego, California, United States
|
|
|
Richard Beigel , Harry Buhrman , Lance Fortnow, NP might not be as easy as detecting unique solutions, Proceedings of the thirtieth annual ACM symposium on Theory of computing, p.203-208, May 24-26, 1998, Dallas, Texas, United States
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Funda Ergün , Ravi Kumar , Ronitt Rubinfeld, Fast approximate PCPs, Proceedings of the thirty-first annual ACM symposium on Theory of computing, p.41-50, May 01-04, 1999, Atlanta, Georgia, United States
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|