-
1
-
-
15944413051
-
Primality and identity testing via Chinese remaindering
-
preliminary version in FOCS'99
-
M. AGRAWAL & S. BISWAS (2003). Primality and identity testing via Chinese remaindering. J. ACM 50, 429-443 (preliminary version in FOCS'99).
-
(2003)
J. ACM
, vol.50
, pp. 429-443
-
-
Agrawal, M.1
Biswas, S.2
-
3
-
-
0031677538
-
A new general derandomization method
-
preliminary version in ICALP'96
-
A. E. ANDREEV, A. E. F. CLEMENTI & J. D. P. ROLIM (1998). A new general derandomization method. J. ACM 45, 179-213 (preliminary version in ICALP'96).
-
(1998)
J. ACM
, vol.45
, pp. 179-213
-
-
Andreev, A.E.1
Clementi, A.E.F.2
Rolim, J.D.P.3
-
4
-
-
0032058198
-
Proof verification and the hardness of approximation problems
-
preliminary version in FOCS'92
-
S. ARORA, C. LUND, R. MOTWANI, M. SUDAN & M. SZEGEDY (1998). Proof verification and the hardness of approximation problems. J. ACM 45, 501-555 (preliminary version in FOCS'92).
-
(1998)
J. ACM
, vol.45
, pp. 501-555
-
-
Arora, S.1
Lund, C.2
Motwani, R.3
Sudan, M.4
Szegedy, M.5
-
5
-
-
0031651077
-
Probabilistic checking of proofs: A new characterization of NP
-
preliminary version in FOCS'92
-
S. ARORA & S. SAFRA (1998). Probabilistic checking of proofs: A new characterization of NP. J. ACM 45, 70-122 (preliminary version in FOCS'92).
-
(1998)
J. ACM
, vol.45
, pp. 70-122
-
-
Arora, S.1
Safra, S.2
-
8
-
-
0002771903
-
Non-deterministic exponential time has two-prover interactive protocols
-
L. BABAI, L. FORTNOW & C. LUND (1991). Non-deterministic exponential time has two-prover interactive protocols. Comput. Complexity 1, 3-40.
-
(1991)
Comput. Complexity
, vol.1
, pp. 3-40
-
-
Babai, L.1
Fortnow, L.2
Lund, C.3
-
9
-
-
0001338853
-
BPP has subexponential time simulations unless EXPTIME has publishable proofs
-
L. BABAI, L. FORTNOW, N. NISAN & A. WIGDERSON (1993). BPP has subexponential time simulations unless EXPTIME has publishable proofs. Comput. Complexity 3, 307-318.
-
(1993)
Comput. Complexity
, vol.3
, pp. 307-318
-
-
Babai, L.1
Fortnow, L.2
Nisan, N.3
Wigderson, A.4
-
10
-
-
0023995534
-
Arthur-merlin games: A randomized proof system, and a hierarchy of complexity classes
-
L. BABAI & S. MORAN (1988). Arthur-Merlin games: A randomized proof system, and a hierarchy of complexity classes. J. Comput. System Sci. 36, 254-276.
-
(1988)
J. Comput. System Sci.
, vol.36
, pp. 254-276
-
-
Babai, L.1
Moran, S.2
-
12
-
-
0002962651
-
Equivalence of free Boolean graphs can be tested in polynomial time
-
M. BLUM, A. K. CHANDRA & M. N. WEGMAN (1980). Equivalence of free Boolean graphs can be tested in polynomial time. Inform. Process. Lett. 10, 80-82.
-
(1980)
Inform. Process. Lett.
, vol.10
, pp. 80-82
-
-
Blum, M.1
Chandra, A.K.2
Wegman, M.N.3
-
13
-
-
0029214558
-
Designing programs that check their work
-
M. BLUM & S. KANNAN (1995). Designing programs that check their work. J. ACM 42, 269-291.
-
(1995)
J. ACM
, vol.42
, pp. 269-291
-
-
Blum, M.1
Kannan, S.2
-
14
-
-
0037708071
-
Pseudo-random generators and complexity classes
-
S. Micali (ed.), Adv. Comput. Research , JAI Press, Greenwich, CT
-
R. BOPPANA & R. HIRSCHFELD (1989). Pseudo-random generators and complexity classes. In Randomness and Computation, S. Micali (ed.), Adv. Comput. Research 5, JAI Press, Greenwich, CT, 1-26
-
(1989)
Randomness and Computation
, vol.5
, pp. 1-26
-
-
Boppana, R.1
Hirschfeld, R.2
-
15
-
-
0016046965
-
The parallel evaluation of general arithmetic expressions
-
R.P. BRENT (1974). The parallel evaluation of general arithmetic expressions. J. ACM 21, 201-206.
-
(1974)
J. ACM
, vol.21
, pp. 201-206
-
-
Brent, R.P.1
-
16
-
-
84874144431
-
One-sided versus two-sided error in probabilistic computation
-
C. Meinel & S. Tison (eds.), Lecture Notes in Comput. Sci. , Springer
-
H. BUHRMAN & L. FORTNOW (1999). One-sided versus two-sided error in probabilistic computation. In Proc. 16th Annual Symposium on Theoretical Aspects of Computer Science, C. Meinel & S. Tison (eds.), Lecture Notes in Comput. Sci. 1563, Springer, 100-109.
-
(1999)
Proc. 16th Annual Symposium on Theoretical Aspects of Computer Science
, vol.1563
, pp. 100-109
-
-
Buhrman, H.1
Fortnow, L.2
-
19
-
-
0029499709
-
Randomness-optimal unique element isolation with applications to perfect matching and related problems
-
S. CHAW, P. ROHATGI & A. SRINIVASAN (1995). Randomness-optimal unique element isolation with applications to perfect matching and related problems. SIAM J. Comput. 24, 1036-1050.
-
(1995)
SIAM J. Comput.
, vol.24
, pp. 1036-1050
-
-
Chaw, S.1
Rohatgi, P.2
Srinivasan, A.3
-
20
-
-
0033701650
-
Reducing randomness via irrational numbers
-
preliminary version in STOC'97
-
Z. CHEN & M. KAO (2000). Reducing randomness via irrational numbers. SIAM J. Comput. 29, 1247-1256 (preliminary version in STOC'97).
-
(2000)
SIAM J. Comput.
, vol.29
, pp. 1247-1256
-
-
Chen, Z.1
Kao, M.2
-
21
-
-
85034440079
-
Fast parallel evaluation of the rank of matrices over a field of arbitrary characteristic
-
Lecture Notes in Comput. Sci. , Springer
-
A. L. CHISTOV (1985). Fast parallel evaluation of the rank of matrices over a field of arbitrary characteristic. In Fundamentals of Computation Theory, Lecture Notes in Comput. Sci. 199, Springer, 63-79.
-
(1985)
Fundamentals of Computation Theory
, vol.199
, pp. 63-79
-
-
Chistov, A.L.1
-
22
-
-
0026189928
-
On zero-testing and interpolation of k-sparse multivariate polynomials over finite fields
-
M. CLAUSEN, A. DRESS, J. GRABMEIER & M. KARPINSKY (1991). On zero-testing and interpolation of k-sparse multivariate polynomials over finite fields. Theoret. Comput. Sci. 84, 151-164.
-
(1991)
Theoret. Comput. Sci.
, vol.84
, pp. 151-164
-
-
Clausen, M.1
Dress, A.2
Grabmeier, J.3
Karpinsky, M.4
-
23
-
-
0000006297
-
A probabilistic remark on algebraic program testing
-
R. A. DEMILLO & R. J. LIPTON (1978). A probabilistic remark on algebraic program testing. Inform. Process. Lett. 7, 193-195.
-
(1978)
Inform. Process. Lett.
, vol.7
, pp. 193-195
-
-
Demillo, R.A.1
Lipton, R.J.2
-
24
-
-
0030100766
-
Interactive proofs and the hardness of approximating cliques
-
preliminary version in FOCS'91
-
U. FEIGE, S. GOLDWASSER, L. LOVÁSZ, S. SAFRA & M. SZEGEDY (1996). Interactive proofs and the hardness of approximating cliques. J. ACM 43, 268-292 (preliminary version in FOCS'91).
-
(1996)
J. ACM
, vol.43
, pp. 268-292
-
-
Feige, U.1
Goldwasser, S.2
Lovász, L.3
Safra, S.4
Szegedy, M.5
-
25
-
-
0001567736
-
Feasible arithmetic computations: Valiant's hypothesis
-
J. VON ZUR GATHEN (1987). Feasible arithmetic computations: Valiant's hypothesis. J. Symbolic Comput. 4, 137-172.
-
(1987)
J. Symbolic Comput.
, vol.4
, pp. 137-172
-
-
Von Zur Gathen, J.1
-
26
-
-
0000377057
-
Highly resilient correctors for multivariate polynomials
-
P. GEMMELL & M. SUDAN (1992). Highly resilient correctors for multivariate polynomials. Inform. Process. Lett. 43, 169-174.
-
(1992)
Inform. Process. Lett.
, vol.43
, pp. 169-174
-
-
Gemmell, P.1
Sudan, M.2
-
28
-
-
0025694134
-
Fast parallel algorithms for sparse multivariate polynomial interpolation over finite fields
-
D. YU. GRIGOHIEV, M. KARPINSKY & M. F. SINGER (1990). Fast parallel algorithms for sparse multivariate polynomial interpolation over finite fields. SIAM J. Comput. 19, 1059-1063.
-
(1990)
SIAM J. Comput.
, vol.19
, pp. 1059-1063
-
-
Grigohiev, D.Yu.1
Karpinsky, M.2
Singer, M.F.3
-
29
-
-
84976819141
-
Probabilistic algorithms for deciding equivalence of straight-line programs
-
O. H. IBARRA & S. MORAN (1983). Probabilistic algorithms for deciding equivalence of straight-line programs. J. ACM 30, 217-228.
-
(1983)
J. ACM
, vol.30
, pp. 217-228
-
-
Ibarra, O.H.1
Moran, S.2
-
30
-
-
23844442856
-
In search of an easy witness: Exponential time vs. probabilistic polynomial time
-
preliminary version in CCC'01
-
R. IMPAGLIAZZO, V. KABANETS & A. WIGDERSON (2002). In search of an easy witness: Exponential time vs. probabilistic polynomial time. J. Comput. System Sci. 65, 672-694 (preliminary version in CCC'01).
-
(2002)
J. Comput. System Sci.
, vol.65
, pp. 672-694
-
-
Impagliazzo, R.1
Kabanets, V.2
Wigderson, A.3
-
34
-
-
0035734550
-
Randomness vs time: Derandomization under a uniform assumption
-
preliminary version in FOCS'98
-
R. IMPAGLIAZZO & A. WIGDERSON (2001). Randomness vs time: Derandomization under a uniform assumption. J. Comput. System Sci. 63, 672-688 (preliminary version in FOCS'98).
-
(2001)
J. Comput. System Sci.
, vol.63
, pp. 672-688
-
-
Impagliazzo, R.1
Wigderson, A.2
-
35
-
-
0000152441
-
Easiness assumptions and hardness tests: Trading time for zero error
-
preliminary version in CCC'00
-
V. KABANETS (2001). Easiness assumptions and hardness tests: trading time for zero error. J. Comput. System Sci. 63, 236-252 (preliminary version in CCC'00).
-
(2001)
J. Comput. System Sci.
, vol.63
, pp. 236-252
-
-
Kabanets, V.1
-
37
-
-
0023826531
-
Greatest common divisors of polynomials given by straight-line programs
-
E. KALTOFEN (1988). Greatest common divisors of polynomials given by straight-line programs. J. ACM 35, 231-264.
-
(1988)
J. ACM
, vol.35
, pp. 231-264
-
-
Kaltofen, E.1
-
38
-
-
0010017974
-
Factorization of polynomials given by straight-line programs
-
S. Micali (ed.), Adv. Comput. Research , JAI Press, Greenwich, CT
-
E. KALTOFEN (1989). Factorization of polynomials given by straight-line programs. In Randomness and Computation, S. Micali (ed.), Adv. Comput. Research 5, JAI Press, Greenwich, CT, 375-412.
-
(1989)
Randomness and Computation
, vol.5
, pp. 375-412
-
-
Kaltofen, E.1
-
40
-
-
0036588881
-
Graph nonisomorphism has subexpo-nential size proofs unless the polynomial-time hierarchy collapses
-
preliminary version in STOC'99
-
A. KLIVANS & D. VAN MELKEBEEK (2002). Graph nonisomorphism has subexpo-nential size proofs unless the polynomial-time hierarchy collapses. SIAM J. Comput. 31, 1501-1526 (preliminary version in STOC'99).
-
(2002)
SIAM J. Comput.
, vol.31
, pp. 1501-1526
-
-
Klivans, A.1
Van Melkebeek, D.2
-
43
-
-
0027627287
-
Constant depth circuits, Fourier transform and learnability
-
N. LINIAL, Y. MANSOUR & N. NISAN (1993). Constant depth circuits, Fourier transform and learnability. J. ACM 40, 607-620.
-
(1993)
J. ACM
, vol.40
, pp. 607-620
-
-
Linial, N.1
Mansour, Y.2
Nisan, N.3
-
44
-
-
0003013846
-
New directions in testing
-
J. Feigenbaum & M. Merrit (eds.), DIMACS Ser. Discrete Math. Theoret. Comput. Sci. , Amer. Math. Soc.
-
R. LIPTON (1991). New directions in testing. In Distributed Computing and Cryptography, J. Feigenbaum & M. Merrit (eds.), DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 2, Amer. Math. Soc., 191-202.
-
(1991)
Distributed Computing and Cryptography
, vol.2
, pp. 191-202
-
-
Lipton, R.1
-
45
-
-
0003221566
-
On determinants, matchings and random algorithms
-
L. Budach (ed.), Akademie-Verlag, Berlin
-
L. LOVÁSZ (1979). On determinants, matchings and random algorithms. In Fundamentals of Comput. Theory, L. Budach (ed.), Akademie-Verlag, Berlin, 565-574.
-
(1979)
Fundamentals of Comput. Theory
, pp. 565-574
-
-
Lovász, L.1
-
46
-
-
0026930922
-
Algebraic methods for interactive proof systems
-
C. LUND, L. FORTNOW, H. KARLOFF & N. NISAN (1992). Algebraic methods for interactive proof systems. J. ACM 39, 859-868.
-
(1992)
J. ACM
, vol.39
, pp. 859-868
-
-
Lund, C.1
Fortnow, L.2
Karloff, H.3
Nisan, N.4
-
52
-
-
0034362785
-
Exponential lower bounds for depth three Boolean circuits
-
preliminary version in STOC'97
-
R. PATURI, M. E. SAKS & F. ZANE (2000). Exponential lower bounds for depth three Boolean circuits. Comput. Complexity 9, 1-15 (preliminary version in STOC'97).
-
(2000)
Comput. Complexity
, vol.9
, pp. 1-15
-
-
Paturi, R.1
Saks, M.E.2
Zane, F.3
-
53
-
-
0011521703
-
Every prime has a succinct certificate
-
V. R. PRATT (1975). Every prime has a succinct certificate. SIAM J. Comput. 4, 214-220.
-
(1975)
SIAM J. Comput.
, vol.4
, pp. 214-220
-
-
Pratt, V.R.1
-
54
-
-
0038309373
-
Extracting all the randomness and reducing the error in Trevisan's extractors
-
preliminary version in STOC'99
-
R. RAZ, O. REINGOLD & S. P. VADHAN (2002). Extracting all the randomness and reducing the error in Trevisan's extractors. J. Comput. System Sci. 65, 97-128 (preliminary version in STOC'99).
-
(2002)
J. Comput. System Sci.
, vol.65
, pp. 97-128
-
-
Raz, R.1
Reingold, O.2
Vadhan, S.P.3
-
55
-
-
0030714232
-
A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP
-
R. RAZ & S. SAFRA (1997). A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP. In Proc. 29th Annual ACM Symposium on Theory of Computing, 475-484.
-
(1997)
Proc. 29th Annual ACM Symposium on Theory of Computing
, pp. 475-484
-
-
Raz, R.1
Safra, S.2
-
57
-
-
0026136717
-
Interpolation and approximation of sparse multivariate polynomials
-
R. M. ROTH & G. M. BENEDEK (1991). Interpolation and approximation of sparse multivariate polynomials. SIAM J. Comput. 20, 291-314.
-
(1991)
SIAM J. Comput.
, vol.20
, pp. 291-314
-
-
Roth, R.M.1
Benedek, G.M.2
-
58
-
-
0030128622
-
Robust characterizations of polynomials with applications to program testing
-
R. RUBINFELD & M. SUDAN (1996). Robust characterizations of polynomials with applications to program testing. SIAM J. Comput. 25, 252-271.
-
(1996)
SIAM J. Comput.
, vol.25
, pp. 252-271
-
-
Rubinfeld, R.1
Sudan, M.2
-
59
-
-
84976779342
-
Fast probabilistic algorithms for verification of polynomial identities
-
J. T. SCHWARTZ (1980). Fast probabilistic algorithms for verification of polynomial identities. J. ACM 27, 701-717.
-
(1980)
J. ACM
, vol.27
, pp. 701-717
-
-
Schwartz, J.T.1
-
61
-
-
0026930543
-
IP = PSPACE
-
A. SHAMIR (1992). IP = PSPACE. J. ACM 39, 869-877.
-
(1992)
J. ACM
, vol.39
, pp. 869-877
-
-
Shamir, A.1
-
62
-
-
84961475121
-
Vermeidung von Divisionen
-
V. STRASSEN (1973). Vermeidung von Divisionen. J. Reine Angew. Math. 264, 182-202.
-
(1973)
J. Reine Angew. Math
, vol.264
, pp. 182-202
-
-
Strassen, V.1
-
63
-
-
0031097176
-
Decoding of Reed Solomon codes beyond the error-correction bound
-
M. SUDAN (1997). Decoding of Reed Solomon codes beyond the error-correction bound. J. Complexity 13, 180-193.
-
(1997)
J. Complexity
, vol.13
, pp. 180-193
-
-
Sudan, M.1
-
64
-
-
0035276434
-
Pseudorandom generators without the XOR lemma
-
preliminary version in STOC'99
-
M. SUDAN, L. TREVISAN & S. VADHAN (2001). Pseudorandom generators without the XOR lemma. J. Comput. System Sci. 62, 236-266 (preliminary version in STOC'99).
-
(2001)
J. Comput. System Sci.
, vol.62
, pp. 236-266
-
-
Sudan, M.1
Trevisan, L.2
Vadhan, S.3
-
65
-
-
0026239342
-
PP is as hard as the polynomial-time hierarchy
-
S. TODA (1991). PP is as hard as the polynomial-time hierarchy. SIAM J. Comput. 20, 865-877.
-
(1991)
SIAM J. Comput.
, vol.20
, pp. 865-877
-
-
Toda, S.1
-
66
-
-
0142027847
-
Pseudo-random generators for all hardnesses
-
preliminary version in STOC'02
-
C. UMANS (2003). Pseudo-random generators for all hardnesses. J. Comput. System Sci. 67, 419-440 (preliminary version in STOC'02).
-
(2003)
J. Comput. System Sci.
, vol.67
, pp. 419-440
-
-
Umans, C.1
-
68
-
-
49249151236
-
The complexity of computing the permanent
-
L. VALIANT (1979b). The complexity of computing the permanent. Theoret. Comput. Sci. 8, 189-201.
-
(1979)
Theoret. Comput. Sci.
, vol.8
, pp. 189-201
-
-
Valiant, L.1
-
69
-
-
0022911518
-
NP is as easy as detecting unique solutions
-
L. VALIANT & V. VAZIRANI (1986). NP is as easy as detecting unique solutions. Theoret. Comput. Sci. 47, 85-93.
-
(1986)
Theoret. Comput. Sci.
, vol.47
, pp. 85-93
-
-
Valiant, L.1
Vazirani, V.2
|