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ECCC
2010
79views more  ECCC 2010»
13 years 7 months 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
ECCC
2010
93views more  ECCC 2010»
13 years 6 months ago
Towards Coding for Maximum Errors in Interactive Communication
We show that it is possible to encode any communication protocol between two parties so that the protocol succeeds even if a (1/4 − ǫ) fraction of all symbols transmitted by th...
Mark Braverman, Anup Rao
ECCC
2010
131views more  ECCC 2010»
13 years 7 months ago
High-rate codes with sublinear-time decoding
Locally decodable codes are error-correcting codes that admit efficient decoding algorithms; any bit of the original message can be recovered by looking at only a small number of ...
Swastik Kopparty, Shubhangi Saraf, Sergey Yekhanin
ECCC
2010
92views more  ECCC 2010»
13 years 6 months ago
Logspace Versions of the Theorems of Bodlaender and Courcelle
Bodlaender’s Theorem states that for every k there is a linear-time algorithm that decides whether an input graph has tree width k and, if so, computes a width-k tree compositio...
Michael Elberfeld, Andreas Jakoby, Till Tantau
ECCC
2010
78views more  ECCC 2010»
13 years 7 months ago
PCPs and the Hardness of Generating Synthetic Data
Assuming the existence of one-way functions, we show that there is no polynomial-time, differentially private algorithm A that takes a database D ({0, 1}d )n and outputs a "...
Jonathan Ullman, Salil P. Vadhan