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» A sharp threshold in proof complexity
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CASC
2009
Springer
157views Mathematics» more  CASC 2009»
15 years 4 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»
14 years 9 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»
15 years 1 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
14 years 11 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»
15 years 4 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