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» Class number bounds and Catalan's equation
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CSR
2007
Springer
13 years 11 months ago
On the Complexity of Matrix Rank and Rigidity
We revisit a well studied linear algebraic problem, computing the rank and determinant of matrices, in order to obtain completeness results for small complexity classes. In partic...
Meena Mahajan, Jayalal M. N. Sarma
CCS
2005
ACM
13 years 10 months ago
Deciding security of protocols against off-line guessing attacks
We provide an effective procedure for deciding the existence of off-line guessing attacks on security protocols, for a bounded number of sessions. The procedure consists of a co...
Mathieu Baudet
JC
2006
97views more  JC 2006»
13 years 5 months ago
Optimal approximation of elliptic problems by linear and nonlinear mappings II
We study the optimal approximation of the solution of an operator equation A(u) = f by four types of mappings: a) linear mappings of rank n; b) n-term approximation with respect t...
Stephan Dahlke, Erich Novak, Winfried Sickel
DAGSTUHL
2004
13 years 6 months ago
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings
We study the optimal approximation of the solution of an operator equation A(u) = f by four types of mappings: a) linear mappings of rank n; b) n-term approximation with respect t...
Erich Novak, Stephan Dahlke, Winfried Sickel
STOC
2010
ACM
176views Algorithms» more  STOC 2010»
13 years 10 months ago
Complexity Theory for Operators in Analysis
We propose a new framework for discussing computational complexity of problems involving uncountably many objects, such as real numbers, sets and functions, that can be represente...
Akitoshi Kawamura and Stephen Cook