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ECCC
2010
106views more  ECCC 2010»
13 years 10 months ago
Hardness of Parameterized Resolution
Parameterized Resolution and, moreover, a general framework for parameterized proof complexity was introduced by Dantchev, Martin, and Szeider [16] (FOCS’07). In that paper, Dan...
Olaf Beyersdorff, Nicola Galesi, Massimo Lauria
ECCC
2010
117views more  ECCC 2010»
13 years 10 months ago
Nearly Tight Bounds for Testing Function Isomorphism
We study the problem of testing isomorphism (equivalence up to relabelling of the variables) of two Boolean functions f, g : {0, 1}n → {0, 1}. Our main focus is on the most stud...
Sourav Chakraborty, David García-Soriano, A...
ECCC
2010
75views more  ECCC 2010»
13 years 10 months ago
Testing Properties of Collections of Distributions
Reut Levi, Dana Ron, Ronitt Rubinfeld
ECCC
2010
83views more  ECCC 2010»
13 years 10 months ago
Deterministic Identity Testing of Read-Once Algebraic Branching Programs
In this paper we study polynomial identity testing of sums of k read-once algebraic branching programs (Σk-RO-ABPs), generalizing the work of Shpilka and Volkovich [1, 2], who co...
Maurice Jansen, Youming Qiao, Jayalal M. N. Sarma
ECCC
2010
98views more  ECCC 2010»
13 years 10 months ago
Verifying Computations with Streaming Interactive Proofs
Applications based on outsourcing computation require guarantees to the data owner that the desired computation has been performed correctly by the service provider. Methods based...
Graham Cormode, Justin Thaler, Ke Yi
ECCC
2010
87views more  ECCC 2010»
13 years 10 months ago
On the degree of symmetric functions on the Boolean cube
In this paper we study the degree of non-constant symmetric functions f : {0, 1}n → {0, 1, . . . , c}, where c ∈ N, when represented as polynomials over the real numbers. We s...
Gil Cohen, Amir Shpilka
ECCC
2010
122views more  ECCC 2010»
13 years 10 months ago
Query Complexity Lower Bounds for Reconstruction of Codes
We investigate the problem of local reconstruction, as defined by Saks and Seshadhri (2008), in the context of error correcting codes. The first problem we address is that of me...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah
ECCC
2010
72views more  ECCC 2010»
13 years 10 months ago
Paris-Harrington tautologies
We initiate the study of the proof complexity of propositional encoding of (weak cases of) concrete independence results. In particular we study the proof complexity of Paris-Harr...
Lorenzo Carlucci, Nicola Galesi, Massimo Lauria
ECCC
2010
93views more  ECCC 2010»
13 years 10 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