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CIE
2006
Springer
15 years 1 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
MFCS
2009
Springer
15 years 2 months ago
Time-Bounded Kolmogorov Complexity and Solovay Functions
Abstract. A Solovay function is a computable upper bound g for prefixfree Kolmogorov complexity K that is nontrivial in the sense that g agrees with K, up to some additive constan...
Rupert Hölzl, Thorsten Kräling, Wolfgang...
CRYPTO
1999
Springer
103views Cryptology» more  CRYPTO 1999»
15 years 1 months ago
Information Theoretically Secure Communication in the Limited Storage Space Model
Abstract. We provide a simple secret-key two-party secure communication scheme, which is provably information-theoretically secure in the limited-storage-space model. The limited-s...
Yonatan Aumann, Michael O. Rabin
AML
2011
204views Mathematics» more  AML 2011»
14 years 4 months ago
A note on propositional proof complexity of some Ramsey-type statements
Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
Jan Krajícek
CORR
2011
Springer
147views Education» more  CORR 2011»
14 years 4 months ago
Symmetry of information and bounds on nonuniform randomness extraction via Kolmogorov extractors
We prove a strong Symmetry of Information relation for random strings (in the sense of Kolmogorov complexity) and establish tight bounds on the amount on nonuniformity that is nec...
Marius Zimand