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88
Voted
ECCC
2010
79views more  ECCC 2010»
15 years 7 days ago
IP = PSPACE using Error Correcting Codes
The IP theorem, which asserts that IP = PSPACE (Lund et. al., and Shamir, in J. ACM 39(4)), is one of the major achievements of complexity theory. The known proofs of the theorem ...
Or Meir
78
Voted
STOC
2010
ACM
176views Algorithms» more  STOC 2010»
15 years 9 months ago
QIP = PSPACE
We prove that the complexity class QIP, which consists of all problems having quantum interactive proof systems, is contained in PSPACE. This containment is proved by applying a p...
Rahul Jain, Zhengfeng Ji, Sarvagya Upadhyay and Jo...
98
Voted
STOC
1999
ACM
104views Algorithms» more  STOC 1999»
15 years 4 months ago
Fast Approximate PCPs
We investigate the question of when a prover can aid a verifier to reliably compute a function faster than if the verifier were to compute the function on its own. Our focus is ...
Funda Ergün, Ravi Kumar, Ronitt Rubinfeld
101
Voted
ECCC
2008
168views more  ECCC 2008»
15 years 7 days ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson