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Space-bounded probabilistic game automata

Published: 01 April 1991 Publication History
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References

[1]
BABAI, L. Trading group theory for randomness. In Proceedings of the 17th A CM Symposium on the Theory of Computing (Providence, R.I., May 6-8). ACM, New York, 1985, pp. 421-429.
[2]
BEN-OR, M., GOLDWASSER, S., AND WIGDERSON, A. Completeness theorems for non-crytographic fault-tolerant distributed computation. In Proceedings of the 20th A CM Symposium on the Theory of Computing (Chicago, Ill., May 2-4). ACM, New York, 1988, pp. 1-10.
[3]
BRASSARD, G., AND CREPEAU, C Nontransitive transfer of confidence: A perfect-zero knowledge protocol for SAT and beyond. In Proceedings of the 27th IEEE Symposium on the Foundations of Computer Science (Oct.). IEEE, New York, 1986, 188-195.
[4]
CHANDRA, A. K., KOZEN, D. C., AND STOCKMEYER, L. J. Alternaoon. J. A CM. 28, 1 (Jan. 1981), 114-133.
[5]
CHAUM, D., CREPEAU, C., AND DAMGARD, I. Multiparty unconditionally secure protocols. In Proceedings of the 20th A CM Symposium on the Theory of Computing (Chicago, Ill., May 2-4), ACM, New York, 1988, 11-19.
[6]
CONDON, A. :Space bounded probabllistic game automata. In Conference on Structure in Complexity Theory (June). IEEE, New York, 1988, pp. 162-174.
[7]
CONDON, A.The complexity of stochastic games. Tech. Rep. 863. Univ. Wisconsin-Madison, Madison, Wis., 1989.
[8]
CONDON, A. Computational Models of Games. MIT Press, Cambridge, Mass., 1989.
[9]
CONDON, A, AND LADNER, R. Probabilistic game automata. J. Comput. Syst. Sci. 36, 3 (June 1988), 452-489.
[10]
CONDON, A., AND LIPTON, R. J. On the complexity of space bounded interactive proof systems. In Proceedings of the 30th IEEE Symposium on the Foundauons of Computer Science (Oct.). IEEE, New York, 1989, pp. 462-467.
[11]
DWORK, C. AND STOCKMEYER, L. Interacnve proof systems with finite state verifiers. Res. Rep. RJ 6262 (61659). IBM Almaden Research Center, San Jose, Calif., 1988.
[12]
FEIGE, U., FIAT, A., AND SHAMIR, A. Zero knowledge proofs of identity. In Proceedings of the 19th ACM Symposium on the Theory of Computing (New York, N.Y., May 25-27). ACM, New York, 1987, pp. 210-217.
[13]
FORTNOW, L. Complexity-theoretic aspects of interactive proof systems. Tech. Rep. MIT/LCS/TR-447. MIT, Cambridge, Mass., 1989.
[14]
FORTNOW, L., AND SIPSER, M. Interactive proof systems with a log space verifier. Manuscript. MIT, Cambridge, Mass., 1988.
[15]
GAREY. M. R., AND JOHNSON, D. S. Computers and Intractibility: A Guide to the Theory of NP-Completeness. W. H. Freeman and Company, New York, 1979.
[16]
GOLDREICH, 0., MICALI, S., AND WIGDERSON, A Proofs that yield nothing but their validity and a methodology of cryptographic design. In Proceedings of the 27th IEEE Symposium on the Foundations of Computer Science (Oct.). IEEE, New York, 1986, pp. 174-187.
[17]
GOLDWASSER, S., AND MICALI, S. Probabflistic encryption and how to play mental poker keeping secret all partial information. In Proceedings of the 14th A CM Symposium on the Theory of Computing (San Francisco, Cahf., May 5-7). ACM, New York, 1982, pp. 365-377.
[18]
GOLDWASSER, S., MICALI, S., AND RACKOFF, C. The knowledge complexity of interactive proof systems. In Proceedings of the 17th A CM Symposium on the Theory of Computing (Providence, R.I., May 6-8). ACM, New York, 1985, pp. 291-304.
[19]
GOLDWASSER, S., AND SIPSER, M. Private coins versus pubhc coins in interactive proof systems. In Proceedings of the 18th ACM Symposium on the Theory of Computing (Berkeley, Calif., May 28-30). ACM, New York, 1986, pp. 59-68.
[20]
KILLIAN, J. Zero knowledge with log-space verifiers. In Proceedings of the 29th IEEE Symposium on the Foundations of Computer Science (Oct.). IEEE, New York, 1988, pp. 25-35.
[21]
PAPADIMITRIOU, C. H. Games against nature. J Comput. Syst. Sct. 31 (1985), 288-301
[22]
PETERSON, G. L., AND REIF, J. H. Multiple person alternation. In Proceedings of the 20th IEEE Symposium on the Foundations of Computer Science. IEEE, New York, 1979, pp. 348-363.
[23]
REIF, J H. The complexity of two-player games of incomplete reformation J. Comput. Syst. Sci. 29, 2 (1984), 274-301
[24]
Ruzzo, W. L., SIMON, J., AND TOMPA, M. Space-bounded hierarchies and probabflistlc computatlons. J. Comput. Sys. Scl. 28, 2 (Apr. 1984), 216-230.
[25]
SHAPLEY, L. S. Stochastic games. In Proceedings of the National Academy of Sciences, U.S.A. Vol, 39. 1953, pp. 1095-1100.
[26]
TOMPA, M., AND WOLL, H Random self-reducibility and zero-knowledge interactive proofs of possession of informaUon. In Proceedings of the 28th IEEE Symposium on the Foundations of Computer Science (Oct.). IEEE, New York, 1987, pp. 472-482.
[27]
VRIEZE, 0. J. Stochastic games with finite state and action spaces, CWI Tract 33. Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands, I987.

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cover image Journal of the ACM
Journal of the ACM  Volume 38, Issue 2
April 1991
260 pages
ISSN:0004-5411
EISSN:1557-735X
DOI:10.1145/103516
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 April 1991
Published in JACM Volume 38, Issue 2

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  1. Arthur-Merlin games
  2. interactive proof systems
  3. probabilistic game automata

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