Abstract
This paper reviews the impact of some recent results on the research paradigms in structural complexity theory.
This research was supported in part by NSF Research Grant CCR 88-23053.
Supported in part by an IBM Graduate Fellowship.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
L. Babai, L. Fortnow, and C. Lund. Non-deterministic exponential time has two-prover interactive protocols. Technical Report 90-03, Department of Computer Science, University of Chicago, March 1990.
C. Bennett and J. Gill. Relative to a random oracle A, PA ≠ NPA ≠ co-NPA with probability 1. SIAM Journal on Computing, 10(1):96–113, February 1981.
T. Baker, J. Gill, and R. Solovay. Relativizations of the P =? NP question. SIAM Journal on Computing, 4(4):431–442, December 1975.
L. Berman and J. Hartmanis. On isomorphism and density of NP and other complete sets. SIAM Journal on Computing, 6:305–322, June 1977.
J. Cai. With probability one, a random oracle separates PSPACE from the polynomial-time hierarchy. In ACM Symposium on Theory of Computing, pages 21–29, 1986.
J. Cai. Probability one separation of the Boolean Hierarchy. In 4th Annual Symposium on Theoretical Aspects of Computer Science, Springer-Verlag Lecture Notes in Computer Science # 247, pages 148–158, 1987.
A. Condon. Computational models of games. Technical Report 87-04-04, Department of Computer Science, University of Washington, 1987.
L. Fortnow and M. Sipser. Are there interactive protocols for co-NP languages? Information Processing Letters, 28(5):249–251, August 1988.
J. Gill. Computational complexity of probabilistic Turing machines. SIAM Journal on Computing, 6(4):675–695, December 1977.
O. Goldreich, S. Micali, and A. Widgerson. Proofs that yield nothing but their validity and a methodology of cryptographic protocol design. In Proceedings IEEE Symposium on Foundations of Computer Science, pages 174–187, 1986.
S. Goldwasser. Interactive proof systems. In Computational Complexity Theory, Proceedings of Symposia in Applied Mathematics, Volume 38, pages 108–128. American Mathematical Society, 1989.
S. Goldwasser and M. Sipser. Private coins versus public coins in interactive proof systems. In ACM Symposium on Theory of Computing, pages 59–68, 1986.
J. Hartmanis. Solvable problems with conflicting relativizations. Bulletin of the European Association for Theoretical Computer Science, 27:40–49, Oct 1985.
J. E. Hopcroft. Turing machines. Scientific American, pages 86–98, May 1984.
J. Kadin. The polynomial time hierarchy collapses if the Boolean hierarchy collapses. SIAM Journal on Computing, 17(6):1263–1282, December 1988.
R. Karp and R. Lipton. Some connections between nonuniform and uniform complexity classes. In ACM Symposium on Theory of Computing, pages 302–309, 1980.
S. A. Kurtz, S. R. Mahaney, and J. S. Royer. The isomorphism conjecture fails relative to a random oracle. In ACM Symposium on Theory of Computing, pages 157–166, 1989.
K. Ko. Relativized polynomial time hierarchies having exactly k levels. In ACM Symposium on Theory of Computing, pages 245–253, 1988.
S. A. Kurtz. On the random oracle hypothesis. In ACM Symposium on Theory of Computing, pages 224–230, 1982.
C. Lund, L. Fortnow, H. Karloff, and N. Nisan. The polynomial-time hierarchy has interactive proofs. Unpublished manuscript, 1989.
S. Mahaney. Sparse complete sets for NP: Solution of a conjecture of Berman and Hartmanis. Journal of Computer and System Sciences, 25(2):130–143, 1982.
C. H. Papadimitriou. Games against nature. In Proceedings IEEE Symposium on Foundations of Computer Science, pages 446–450, 1983.
A. Shamir. IP = PSPACE. Unpublished manuscript, 1989.
A. C. Yao. Separating the polynomial-time hierarchy by oracles. In Proceedings IEEE Symposium on Foundations of Computer Science, pages 1–10, 1985.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hartmanis, J., Chang, R., Ranjan, D., Rohatgi, P. (1990). Structural complexity theory: Recent surprises. In: Gilbert, J.R., Karlsson, R. (eds) SWAT 90. SWAT 1990. Lecture Notes in Computer Science, vol 447. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52846-6_73
Download citation
DOI: https://doi.org/10.1007/3-540-52846-6_73
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52846-3
Online ISBN: 978-3-540-47164-6
eBook Packages: Springer Book Archive