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The knowledge complexity of interactive proof-systems
Open accessAbstract
How much knowledge should be communicated fir proving a theorem T?Certainly enough to see that T is true, but usually much more.For instance, to prove that a graph is Hamiltonian it suffices to exhibit an Hamiltonian tour.This appears, however, to contain ,much additional knowledge than the single bit "HamiltonianInon-Hamiltonian".We give a computational complexity measure of knowledge and measure tic amount of additional knowlcdgc contained in proofs.
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Cites
The complexity of theorem-proving procedures
Cook, S. A. (1971) · Proceedings of the third annual ACM symposium on Theory of computing - STOC '71 · doi:10.1145/800157.805047 · Cited by 6,385
Cited by
Handbook of applied cryptography
(1997) · Choice Reviews Online · doi:10.5860/choice.34-4512 · Cited by 10,357
Goldreich, O., Micali, S., & Wigderson, A. (1987) · Proceedings of the nineteenth annual ACM conference on Theory of computing - STOC '87 · doi:10.1145/28395.28420 · Cited by 3,590
Self-citationEfficient Identification and Signatures for Smart Cards
Schnorr, C. P. (2007) · Lecture Notes in Computer Science · doi:10.1007/0-387-34805-0_22 · Cited by 1,381
An Efficient System for Non-transferable Anonymous Credentials with Optional Anonymity Revocation
Camenisch, J., & Lysyanskaya, A. (2001) · Lecture Notes in Computer Science · doi:10.1007/3-540-44987-6_7 · Cited by 1,321
Checking computations in polylogarithmic time
Babai, L., Fortnow, L., Levin, L. A., & Szegedy, M. (1991) · Proceedings of the twenty-third annual ACM symposium on Theory of computing - STOC '91 · doi:10.1145/103418.103428 · Cited by 616
Metadata
- Authors
- Goldwasser, S., Micali, S., & Rackoff, C.
- Venue
- Proceedings of the seventeenth annual ACM symposium on Theory of computing - STOC '85
- Publisher
- ACM Press
- Published
- 1985
- Pages
- 291-304
- OpenAlex
- W2144752539
- Cited by
- 1,302
- References
- 1
- FWCI
- 22.62
- Type
- conference paper
- Language
- en
- Open access
- gold
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- Goldwasser, S., Micali, S., & Rackoff, C. (1985). The knowledge complexity of interactive proof-systems. Proceedings of the seventeenth annual ACM symposium on Theory of computing - STOC '85. https://doi.org/10.1145/22145.22178
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