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JAC
2008
13 years 10 months ago
Rule 110: universality and catenations
Cellular automata are a simple model of parallel computation. Many people wonder about the computing power of such a model. Following an idea of S. Wolfram [16], M. Cook [3] has pr...
Gaétan Richard
APAL
2010
85views more  APAL 2010»
13 years 8 months ago
Elementary differences between the degrees of unsolvability and degrees of compressibility
Given two infinite binary sequences A, B we say that B can compress at least as well as A if the prefix-free Kolmogorov complexity relative to B of any binary string is at most as ...
George Barmpalias
CORR
2002
Springer
102views Education» more  CORR 2002»
13 years 8 months ago
Quantum Lower Bound for Recursive Fourier Sampling
One of the earliest quantum algorithms was discovered by Bernstein and Vazirani, for a problem called Recursive Fourier Sampling. This paper shows that the Bernstein-Vazirani algo...
Scott Aaronson
JFP
2000
91views more  JFP 2000»
13 years 8 months ago
Uniform confluence in concurrent computation
Indeterminism is typical for concurrent computation. If several concurrent actors compete for the same resource then at most one of them may succeed, whereby the choice of the suc...
Joachim Niehren
COCO
2009
Springer
78views Algorithms» more  COCO 2009»
14 years 3 months ago
Fixed-Polynomial Size Circuit Bounds
—In 1982, Kannan showed that ΣP 2 does not have nk -sized circuits for any k. Do smaller classes also admit such circuit lower bounds? Despite several improvements of Kannan’s...
Lance Fortnow, Rahul Santhanam, Ryan Williams