-
1
-
-
0442327335
-
Combinatorial Nullstellensatz
-
N. ALON, Combinatorial Nullstellensatz, Combin. Probab. Comput., 8 (1999), pp. 7 - 29.
-
(1999)
Combin. Probab. Comput
, vol.8
, pp. 7-29
-
-
ALON, N.1
-
2
-
-
0032058198
-
Proof verification and the hardness of approximation problems
-
S. ARORA, C. LUND, R. MOTWANI, M. SUDAN, AND M. SZEGEDY, Proof verification and the hardness of approximation problems, J. ACM, 45 (1998), pp. 501 - 555.
-
(1998)
J. ACM
, vol.45
, pp. 501-555
-
-
ARORA, S.1
LUND, C.2
MOTWANI, R.3
SUDAN, M.4
SZEGEDY, M.5
-
3
-
-
0031651077
-
Probabilistic checking of proofs: A new characterization of NP
-
S. ARORA AND S. SAFRA, Probabilistic checking of proofs: A new characterization of NP, J. ACM, 45 (1998), pp. 70-122.
-
(1998)
J. ACM
, vol.45
, pp. 70-122
-
-
ARORA, S.1
SAFRA, S.2
-
4
-
-
0002771903
-
Nondeterministic exponential time has two-prover interactive protocols
-
L. BABAI, L. FORTNOW, AND C. LUND, Nondeterministic exponential time has two-prover interactive protocols, Comput. Complexity, 1 (1991), pp. 3 - 40.
-
(1991)
Comput. Complexity
, vol.1
, pp. 3-40
-
-
BABAI, L.1
FORTNOW, L.2
LUND, C.3
-
5
-
-
85028539051
-
Checking computations in polylogarithmic time
-
ACM, New York
-
L. BABAI, L. FORTNOW, L. LEVIN, AND M. SZEGEDY, Checking computations in polylogarithmic time, in Proceedings of the 23rd ACM Symposium on Theory of Computing, ACM, New York, 1991, pp. 21-31.
-
(1991)
Proceedings of the 23rd ACM Symposium on Theory of Computing
, pp. 21-31
-
-
BABAI, L.1
FORTNOW, L.2
LEVIN, L.3
SZEGEDY, M.4
-
7
-
-
0542423500
-
Free bits, PCPs, and nonapproximability - towards tight results
-
M. BELLARE, O. GOLDREICH, AND M. SUDAN, Free bits, PCPs, and nonapproximability - towards tight results, SIAM J. Comput., 27 (1998), pp. 804-915.
-
(1998)
SIAM J. Comput
, vol.27
, pp. 804-915
-
-
BELLARE, M.1
GOLDREICH, O.2
SUDAN, M.3
-
8
-
-
0027308413
-
Efficient probabilistically checkable proofs and applications to approximation
-
ACM, New York
-
M. BELLARE, S. GOLDWASSER, C. LUND, AND A. RUSSELL, Efficient probabilistically checkable proofs and applications to approximation, in Proceedings of the 25th ACM Symposium on Theory of Computing, ACM, New York, 1993, pp. 294-304.
-
(1993)
Proceedings of the 25th ACM Symposium on Theory of Computing
, pp. 294-304
-
-
BELLARE, M.1
GOLDWASSER, S.2
LUND, C.3
RUSSELL, A.4
-
9
-
-
4544310411
-
Robust PCPs of proximity, shorter PCPs, and applications to coding
-
ACM, New York
-
E. BEN-SASSON, O. GOLDREICH, P. HARSHA, M. SUDAN, AND S. VADHAN, Robust PCPs of proximity, shorter PCPs, and applications to coding, in Proceedings of the 36th ACM Symposium on Theory of Computing, ACM, New York, 2004, pp. 13 - 15.
-
(2004)
Proceedings of the 36th ACM Symposium on Theory of Computing
, pp. 13-15
-
-
BEN-SASSON, E.1
GOLDREICH, O.2
HARSHA, P.3
SUDAN, M.4
VADHAN, S.5
-
10
-
-
27644561824
-
Short PCPs verifiable in polylogarithmic time
-
San Jose, CA
-
E. BEN-SASSON, O. GOLDREICH, P. HARSHA, M. SUDAN, AND S. VADHAN, Short PCPs verifiable in polylogarithmic time, in Proceedings of the 20th IEEE Conference on Computational Complexity, San Jose, CA, 2005, pp. 120 - 134.
-
(2005)
Proceedings of the 20th IEEE Conference on Computational Complexity
, pp. 120-134
-
-
BEN-SASSON, E.1
GOLDREICH, O.2
HARSHA, P.3
SUDAN, M.4
VADHAN, S.5
-
11
-
-
0038784507
-
Randomness-efficient low degree tests and short PCPs via, epsilon-biased sets
-
ACM, New York
-
E. BEN-SASSON, M. SUDAN, S. VADHAN, AND A. WIGDERSON, Randomness-efficient low degree tests and short PCPs via, epsilon-biased sets, in Proceedings of the 35th ACM Symposium on Theory of Computing, ACM, New York, 2003, pp. 612-621.
-
(2003)
Proceedings of the 35th ACM Symposium on Theory of Computing
, pp. 612-621
-
-
BEN-SASSON, E.1
SUDAN, M.2
VADHAN, S.3
WIGDERSON, A.4
-
12
-
-
55249100229
-
Implementing Probabilistically Checkable Proofs of Proximity
-
Technical report MIT-CSAIL-TR-2005-051 MIT-LCS-TR-998, MIT, Cambridge, MA, Available online from
-
A. BHATTACHARYYA, Implementing Probabilistically Checkable Proofs of Proximity, Technical report MIT-CSAIL-TR-2005-051 (MIT-LCS-TR-998), MIT, Cambridge, MA, 2005. Available online from http://publications.csail.mit.edu/2005trs.shtml.
-
(2005)
-
-
BHATTACHARYYA, A.1
-
13
-
-
4243180376
-
The random oracle methodology, revisited
-
R. CANETTI, O. GOLDREICH, AND S. HALEVI, The random oracle methodology, revisited, J. ACM, 51 (2004), pp. 557-594.
-
(2004)
J. ACM
, vol.51
, pp. 557-594
-
-
CANETTI, R.1
GOLDREICH, O.2
HALEVI, S.3
-
14
-
-
85059770931
-
The complexity of theorem-proving procedures
-
IEEE Computer Society, Los Alamitos, CA
-
S. COOK, The complexity of theorem-proving procedures, in Proceedings of the 3rd IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1971, pp. 151-158.
-
(1971)
Proceedings of the 3rd IEEE Symposium on Foundations of Computer Science
, pp. 151-158
-
-
COOK, S.1
-
15
-
-
0023825720
-
Short propositional formulas represent nondeterministic computations
-
S. COOK, Short propositional formulas represent nondeterministic computations, Inform. Process. Lett., 26 (1988), pp. 269-270.
-
(1988)
Inform. Process. Lett
, vol.26
, pp. 269-270
-
-
COOK, S.1
-
16
-
-
0003908675
-
-
Springer-Verlag, Berlin
-
D. Cox, J. LITTLE, AND D. O'SHEA, Ideals, Varieties, and Algorithms, Springer-Verlag, Berlin, 1992.
-
(1992)
Ideals, Varieties, and Algorithms
-
-
Cox, D.1
LITTLE, J.2
O'SHEA, D.3
-
17
-
-
0032662982
-
PCP characterizations of NP: Towards a polynomially-small error-probability
-
ACM, New York
-
I. DINUR, E. FISCHER, G. KINDLER, R. RAZ, AND S. SAFRA, PCP characterizations of NP: Towards a polynomially-small error-probability, in Proceedings of the 31st ACM Symposium on Theory of Computing, ACM, New York, 1999, pp. 29-40.
-
(1999)
Proceedings of the 31st ACM Symposium on Theory of Computing
, pp. 29-40
-
-
DINUR, I.1
FISCHER, E.2
KINDLER, G.3
RAZ, R.4
SAFRA, S.5
-
19
-
-
34547829715
-
Assignment testers: Towards a combinatorial proof of the PCP theorem
-
I. DINUR AND O. REINGOLD, Assignment testers: Towards a combinatorial proof of the PCP theorem, SIAM J. Comput., 36 (2006), pp. 975-1024.
-
(2006)
SIAM J. Comput
, vol.36
, pp. 975-1024
-
-
DINUR, I.1
REINGOLD, O.2
-
20
-
-
0030100766
-
Interactive proofs and the hardness of approximating cliques
-
U. FEIGE, S. GOLDWASSER, L. LOVÁSZ, S. SAFRA, AND M. SZEGEDY, Interactive proofs and the hardness of approximating cliques, J. ACM, 43 (1996), pp. 268 - 292.
-
(1996)
J. ACM
, vol.43
, pp. 268-292
-
-
FEIGE, U.1
GOLDWASSER, S.2
LOVÁSZ, L.3
SAFRA, S.4
SZEGEDY, M.5
-
21
-
-
0028255086
-
Low-degree tests
-
ACM, New York, SIAM, Philadelphia
-
K. FRIEDL, Z. HÁTSÁGI, AND A. SHEN, Low-degree tests, in Proceedings of the 5th ACM-SIAM Symposium on Discrete Algorithms, ACM, New York, SIAM, Philadelphia, 1994, pp. 57 - 64.
-
(1994)
Proceedings of the 5th ACM-SIAM Symposium on Discrete Algorithms
, pp. 57-64
-
-
FRIEDL, K.1
HÁTSÁGI, Z.2
SHEN, A.3
-
22
-
-
0003205419
-
A Sample of Samplers - a Computational Perspective on Sampling
-
Tech. rep. TR97-020, Electronic Colloquium on Computational Complexity
-
O. GOLDREICH, A Sample of Samplers - a Computational Perspective on Sampling, Tech. rep. TR97-020, Electronic Colloquium on Computational Complexity, 1997.
-
(1997)
-
-
GOLDREICH, O.1
-
23
-
-
57049086690
-
Short Locally Testable Codes and Proofs (Survey)
-
Tech. rep. TR05-014, Electronic Colloquium on Computational Complexity
-
O. GOLDREICH, Short Locally Testable Codes and Proofs (Survey), Tech. rep. TR05-014, Electronic Colloquium on Computational Complexity, 2005.
-
(2005)
-
-
GOLDREICH, O.1
-
24
-
-
0036949141
-
Locally testable codes and PCPs of almost linear length (second revision)
-
ACM, New York
-
O. GOLDREICH AND M. SUDAN, Locally testable codes and PCPs of almost linear length (second revision), initial version appeared in Proceedings of the 43rd ACM Symposium on Theory of Computing, ACM, New York, 2002, pp. 13-22.
-
(2002)
initial version appeared in Proceedings of the 43rd ACM Symposium on Theory of Computing
, pp. 13-22
-
-
GOLDREICH, O.1
SUDAN, M.2
-
25
-
-
0031504510
-
Tiny families of functions with random properties: A quality-size trade-off for hashing
-
O. GOLDREICH AND A. WIGDERSON, Tiny families of functions with random properties: A quality-size trade-off for hashing, Random Structures Algorithms, 11 (1997), pp. 315 - 343.
-
(1997)
Random Structures Algorithms
, vol.11
, pp. 315-343
-
-
GOLDREICH, O.1
WIGDERSON, A.2
-
26
-
-
0032319635
-
A tight characterization of NP with 3-query PCPs
-
IEEE Computer Society, Los Alamitos, CA
-
V. GURUSWAMI, D. LEWIN, M. SUDAN, AND L. TREVISAN, A tight characterization of NP with 3-query PCPs, in Proceedings of the 39th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1998, pp. 18-27.
-
(1998)
Proceedings of the 39th IEEE Symposium on Foundations of Computer Science
, pp. 18-27
-
-
GURUSWAMI, V.1
LEWIN, D.2
SUDAN, M.3
TREVISAN, L.4
-
27
-
-
0034563592
-
Small PCPs with low query complexity
-
P. HARSHA AND M. SUDAN, Small PCPs with low query complexity, Comput. Complexity, 9 (2000), pp. 157-201.
-
(2000)
Comput. Complexity
, vol.9
, pp. 157-201
-
-
HARSHA, P.1
SUDAN, M.2
-
28
-
-
0000844603
-
Some optimal inapproximability results
-
J. HÅSTAD, Some optimal inapproximability results, J. ACM, 48 (2001), pp. 798-859.
-
(2001)
J. ACM
, vol.48
, pp. 798-859
-
-
HÅSTAD, J.1
-
29
-
-
0006672480
-
Two-tape simulation of multitape turing machines
-
F. C. HENNIE AND R. E. STEARNS, Two-tape simulation of multitape turing machines, J. ACM, 13 (1966), pp. 533-546.
-
(1966)
J. ACM
, vol.13
, pp. 533-546
-
-
HENNIE, F.C.1
STEARNS, R.E.2
-
30
-
-
0026963441
-
A note on efficient zero-know ledge proofs and arguments (extended abstract)
-
ACM, New York
-
J. KILIAN, A note on efficient zero-know ledge proofs and arguments (extended abstract), in Proceedings of the 24th ACM Symposium on Theory of Computing, ACM, New York, 1992, pp. 723-732.
-
(1992)
Proceedings of the 24th ACM Symposium on Theory of Computing
, pp. 723-732
-
-
KILIAN, J.1
-
32
-
-
0004127220
-
-
2nd ed, Cambridge University Press, Cambridge, UK
-
R. LIDL AND H. NIEDERREITER, Finite Fields, 2nd ed., Cambridge University Press, Cambridge, UK. 1997.
-
(1997)
Finite Fields
-
-
LIDL, R.1
NIEDERREITER, H.2
-
33
-
-
55249112476
-
-
Y. LINNIK, On the least prime in an arithmetic progression. I. The basic theorem, Mat. Sb. N. S., 15 (57), 1944, pp. 139-178 (in Russian).
-
Y. LINNIK, On the least prime in an arithmetic progression. I. The basic theorem, Mat. Sb. N. S., 15 (57), 1944, pp. 139-178 (in Russian).
-
-
-
-
34
-
-
0026930922
-
Algebraic methods for interactive proof systems
-
C. LUND, L. FORTNOW, H. KARLOFF, AND N. NISAN, Algebraic methods for interactive proof systems, J. ACM, 39 (1992), pp. 859-868.
-
(1992)
J. ACM
, vol.39
, pp. 859-868
-
-
LUND, C.1
FORTNOW, L.2
KARLOFF, H.3
NISAN, N.4
-
35
-
-
0034854953
-
Computationally soundproofs
-
S. MICALI, Computationally soundproofs, SIAM J. Comput., 30 (2000), pp. 1253-1298.
-
(2000)
SIAM J. Comput
, vol.30
, pp. 1253-1298
-
-
MICALI, S.1
-
36
-
-
0003897694
-
-
Addison-Wesley, Reading, MA, Longman, Harlow, UK
-
C. PAPADIMITRIOU, Computational Complexity, Addison-Wesley, Reading, MA, Longman, Harlow, UK, 1994.
-
(1994)
Computational Complexity
-
-
PAPADIMITRIOU, C.1
-
37
-
-
0027929411
-
Nearly-linear size holographic proofs
-
ACM, New York
-
A. POLISHCHUK AND D. SPIELMAN, Nearly-linear size holographic proofs, in Proceedings of the 26th ACM Symposium on Theory of Computing, ACM, New York, 1994, pp. 194-203.
-
(1994)
Proceedings of the 26th ACM Symposium on Theory of Computing
, pp. 194-203
-
-
POLISHCHUK, A.1
SPIELMAN, D.2
-
38
-
-
0033718183
-
A PCP characterization of NP with optimal amortized query complexity
-
ACM, New York
-
A. SAMORODNITSKY AND L. TREVISAN, A PCP characterization of NP with optimal amortized query complexity, in Proceedings of the 32nd ACM Symposium on Theory of Computing, ACM, New York, 2000, pp. 191-199.
-
(2000)
Proceedings of the 32nd ACM Symposium on Theory of Computing
, pp. 191-199
-
-
SAMORODNITSKY, A.1
TREVISAN, L.2
-
39
-
-
0005308501
-
-
Ph.D. thesis, MIT, Cambridge, MA
-
D. SPIELMAN, Computationally Efficient Error-Correcting Codes and Holographic Proofs, Ph.D. thesis, MIT, Cambridge, MA, 1995.
-
(1995)
Computationally Efficient Error-Correcting Codes and Holographic Proofs
-
-
SPIELMAN, D.1
-
40
-
-
84887462280
-
Many-valued logics and holographic proofs
-
Prague, Czech Republic
-
M. SZEGEDY, Many-valued logics and holographic proofs, in Proceedings of the 26th International Colloquium on Automata, Languages, and Programming, Prague, Czech Republic, 1999, pp. 676-686.
-
(1999)
Proceedings of the 26th International Colloquium on Automata, Languages, and Programming
, pp. 676-686
-
-
SZEGEDY, M.1
|