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» The Proof Complexity of Polynomial Identities
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EUROCRYPT
2012
Springer
12 years 7 days ago
Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
Jean-Charles Faugère, Ludovic Perret, Chris...
LATIN
2004
Springer
14 years 3 months ago
A Proof System and a Decision Procedure for Equality Logic
Equality logic with or without uninterpreted functions is used for proving the equivalence or refinement between systems (hardware verification, compiler’s translation, etc). C...
Olga Tveretina, Hans Zantema
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 10 months ago
Complexity dichotomy on partial grid recognition
Deciding whether a graph can be embedded in a grid using only unitlength edges is NP-complete, even when restricted to binary trees. However, it is not difficult to devise a numbe...
Vinícius G. P. de Sá, Guilherme Dias...
ECCC
2011
185views ECommerce» more  ECCC 2011»
13 years 4 months ago
Property Testing Lower Bounds via Communication Complexity
We develop a new technique for proving lower bounds in property testing, by showing a strong connection between testing and communication complexity. We give a simple scheme for r...
Eric Blais, Joshua Brody, Kevin Matulef
JC
2008
92views more  JC 2008»
13 years 9 months ago
Characterizing Valiant's algebraic complexity classes
Valiant introduced 20 years ago an algebraic complexity theory to study the complexity of polynomial families. The basic computation model used is the arithmetic circuit, which ma...
Guillaume Malod, Natacha Portier