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» The Complexity of Integer Bound Propagation
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ECCC
2010
98views more  ECCC 2010»
14 years 9 months ago
A Note on Randomized Streaming Space Bounds for the Longest Increasing Subsequence Problem
The deterministic space complexity of approximating the length of the longest increasing subsequence of a stream of N integers is known to be ( N). However, the randomized comple...
Amit Chakrabarti
WCC
2005
Springer
117views Cryptology» more  WCC 2005»
15 years 3 months ago
Interpolation of Functions Related to the Integer Factoring Problem
The security of the RSA public key cryptosystem depends on the intractability of the integer factoring problem. This paper shall give some theoretical support to the assumption of ...
Clemens Adelmann, Arne Winterhof
TCS
2008
14 years 9 months ago
On the complexity of real root isolation using continued fractions
We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction expansion of real algeb...
Elias P. Tsigaridas, Ioannis Z. Emiris
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
CHARME
2005
Springer
94views Hardware» more  CHARME 2005»
15 years 3 months ago
Verifying Quantitative Properties Using Bound Functions
Abstract. We define and study a quantitative generalization of the traditional boolean framework of model-based specification and verification. In our setting, propositions have...
Arindam Chakrabarti, Krishnendu Chatterjee, Thomas...