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» Lower Bounds Using Kolmogorov Complexity
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CIE
2006
Springer
13 years 8 months ago
Lower Bounds Using Kolmogorov Complexity
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
Sophie Laplante
COCO
2004
Springer
121views Algorithms» more  COCO 2004»
13 years 10 months ago
Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments
We prove a very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply. To achieve this, we introduce the use of Kolm...
Sophie Laplante, Frédéric Magniez
FSTTCS
2001
Springer
13 years 9 months ago
When Worlds Collide: Derandomization, Lower Bounds, and Kolmogorov Complexity
This paper has the following goals: – To survey some of the recent developments in the field of derandomization. – To introduce a new notion of time-bounded Kolmogorov complex...
Eric Allender
MFCS
1997
Springer
13 years 8 months ago
Resolution Proofs, Exponential Bounds, and Kolmogorov Complexity
We prove an exponential lower bound for the length of any resolution proof for the same set of clauses as the one used by Urquhart [13]. Our contribution is a significant simpli...
Uwe Schöning
CORR
2011
Springer
172views Education» more  CORR 2011»
12 years 11 months ago
Possibilities and impossibilities in Kolmogorov complexity extraction
Randomness extraction is the process of constructing a source of randomness of high quality from one or several sources of randomness of lower quality. The problem can be modeled ...
Marius Zimand