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Checking computations in polylogarithmic time
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the twenty-third annual ACM symposium on Theory of computing table of contents
New Orleans, Louisiana, United States
Pages: 21 - 32  
Year of Publication: 1991
ISBN:0-89791-397-3
Authors
László Babai  Univ. of Chicago and Eötvoö Univ., Budapest
Lance Fortnow  Dept. Comp. Sci., Univ. of Chicago, 1100 E 58th St, Chicago IL
Leonid A. Levin  Dept. Comp. Sci., Boston University, 111 cummington St., Boston MA
Mario Szegedy  Dept. Comp. Sci., Univ. of Chicago, 1100 E 58th St, Chicago IL
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 3,   Downloads (12 Months): 53,   Citation Count: 56
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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.

 
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Babai, L., Fortnow, L.: Arithmetization: a new method in structural complexity theory, Computational Complexity 1 (1991), to appear. Preliminary version: A characterization of #P by straight line programs of polynomials, Proc. 31th IEEE FOCS (1990), pp. 26-34.
 
BFL
Babai, L., Fortnow, L., Lund, C.: Non- Deterministic exponential time has two-prover interactive protocols, Computatzonal Complexity 1 (1991), to appear. Preliminary version in: Proc. 31th IEEE FOCS (1990), pp. 16-25.
 
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Blum, M.: Designing programs to check their work, to appear
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Ca
Cat, J.: PSPACE is provable by two provers in one round, manuscript (1990).
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Fortnow, L., Rompel, J., Sipser, M.: On the power of multi-prover interactive protocols, Proc. 3rd Structure in Complexity Theory Conf. (1988), pp. 156-161.
 
Go
Gorenstein, D.: The Enormous Theorem, Scientific American 253:6 (December 1985), 104-115.
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Gurevich, Yuri: On Kolmogorov Machines and Related Issues. (The Logic in Computer Science Column). Bulletin of EATCS, 1988.
 
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Karo, R. M.: Reducibility among Combinatorial Problems, in" R.E. Miller and J.W. Thatcher (eds.), Complexity of Computer Computations, Plenum Press, New York 1972, pp. 85-103.
 
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Kolmogorov, A.N., Uspenskil, V.A.: On the Definition of an Algorithm. Uspekhi Mat. Nauk,13 (1958), 3-28; AMS Transl. 2nd ser. 29 (1963), 217- 245.
 
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Levin, L.A." Universal'nyYe perebornyie zadachi. (Universal search problems: in Russian). Prob. lemy Peredachi Informatsii 9(3):265-266. A corrected English translation appears in an appendix to Trakhtenbrot {Tr}.
 
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Levin, L.A., G~cs, P.: Causal Nets or What Is a Deterministic Computation? Information and Control, 51 (1982).
 
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Lipton, R. J.: New directions in testing, manuscript (1989).
 
LFKN
Lund, C., Fortnow, L., Karloff, H., Nisan, N.: Algebraic Methods for Interactive Proof Systems, Proc. 31th IEEE Syrup. on Foundations of Computer Science (1990), pp. 2-10.
 
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MacWilliams, F.J., Sloane, N.J.A.: The Theory of Error-Correcting Codes, North-Holland, Amsterdam, 1977.
 
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Ofman, Yu.: A Universal Automaton, Transactions of the Moscow Mathematical Society (1965), 200-215.
 
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Peterson, W. W., Weldon, E. J., Jr.: Error. correcting Codes, MIT Press, 1972.
 
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$hamir, A.: IP=PSPACE, Proe. 31th IEEE FOGS (1990), pp. 11-15.
 
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SchSnhage, A.: Storage Modification Machines. SIAM J. on Computing, 9(3):490-508, 1980.
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Sz
Szegedy, M.: Efficient MIP protocol and a stronger condition on clique approximation, in preparatiQn
 
Tr
Trakhtenbrot, B.A.: A survey of Russian approaches to Perebor (brute-force search) algorlthm#. Auual# of the Hiatory of Computing, 6 (1984), 384-400.

CITED BY  56

Collaborative Colleagues:
László Babai: colleagues
Lance Fortnow: colleagues
Leonid A. Levin: colleagues
Mario Szegedy: colleagues