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CORR
2004
Springer
104views Education» more  CORR 2004»
14 years 11 months ago
Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...
David Jao, Stephen D. Miller, Ramarathnam Venkates...
JACM
2000
81views more  JACM 2000»
14 years 11 months ago
Relational queries over interpreted structures
We rework parts of the classical relational theory when the underlying domain is a structure with some interpreted operations that can be used in queries. We identify parts of the...
Michael Benedikt, Leonid Libkin
JCSS
2000
121views more  JCSS 2000»
14 years 11 months ago
The Closure of Monadic NP
It is a well-known result of Fagin that the complexity class NP coincides with the class of problems expressible in existential second-order logic ( 1 1), which allows sentences c...
Miklós Ajtai, Ronald Fagin, Larry J. Stockm...
SIAMDM
1998
89views more  SIAMDM 1998»
14 years 11 months ago
String Noninclusion Optimization Problems
For every string inclusion relation there are two optimization problems: find a longest string included in every string of a given finite language, and find a shortest string in...
Anatoly R. Rubinov, Vadim G. Timkovsky
ECCC
2008
93views more  ECCC 2008»
14 years 11 months ago
A Note on the Distance to Monotonicity of Boolean Functions
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...
Arnab Bhattacharyya