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» A sharp threshold in proof complexity
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CASC
2009
Springer
157views Mathematics» more  CASC 2009»
14 years 1 months ago
On the Complexity of Reliable Root Approximation
This work addresses the problem of computing a certified ǫ-approximation of all real roots of a square-free integer polynomial. We proof an upper bound for its bit complexity, b...
Michael Kerber
IPL
2007
111views more  IPL 2007»
13 years 7 months ago
Powering requires threshold depth 3
We study the circuit complexity of the powering function, defined as POWm(Z) = Zm for an n-bit integer input Z and an integer exponent m poly(n). Let LTd denote the class of func...
Alexander A. Sherstov
CRYPTO
1994
Springer
98views Cryptology» more  CRYPTO 1994»
13 years 11 months ago
Proofs of Partial Knowledge and Simplified Design of Witness Hiding Protocols
Suppose we are given a proof of knowledge P in which a prover demonstrates that he knows a solution to a given problem instance. Suppose also that we have a secret sharing scheme S...
Ronald Cramer, Ivan Damgård, Berry Schoenmak...
EUROCRYPT
2008
Springer
13 years 9 months ago
Isolated Proofs of Knowledge and Isolated Zero Knowledge
We introduce a new notion called -isolated proofs of knowledge ( -IPoK). These are proofs of knowledge where a cheating prover is allowed to exchange up to bits of communication wi...
Ivan Damgård, Jesper Buus Nielsen, Daniel Wi...
ESA
2007
Springer
113views Algorithms» more  ESA 2007»
14 years 1 months ago
Distance Coloring
Given a graph G = (V, E), a (d, k)-coloring is a function from the vertices V to colors {1, 2, . . . , k} such that any two vertices within distance d of each other are assigned di...
Alexa Sharp