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» The ibT degrees of computably enumerable sets are not dense
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LOGCOM
2007
72views more  LOGCOM 2007»
13 years 5 months ago
Post's Programme for the Ershov Hierarchy
This paper extends Post’s programme to finite levels of the Ershov hierarchy of ∆2 sets. Our initial characterisation, in the spirit of Post [27], of the degrees of the immune...
Bahareh Afshari, George Barmpalias, S. Barry Coope...
TCS
2011
13 years 21 days ago
Computational processes, observers and Turing incompleteness
We propose a formal definition of Wolfram’s notion of computational process based on iterated transducers together with a weak observer, a model of computation that captures so...
Klaus Sutner
STACS
2001
Springer
13 years 10 months ago
Randomness, Computability, and Density
We study effectively given positive reals (more specifically, computably enumerable reals) under a measure of relative randomness introduced by Solovay [32] and studied by Calud...
Rodney G. Downey, Denis R. Hirschfeldt, Andr&eacut...
SWAT
2004
Springer
163views Algorithms» more  SWAT 2004»
13 years 11 months ago
New Algorithms for Enumerating All Maximal Cliques
In this paper, we consider the problems of generating all maximal (bipartite) cliques in a given (bipartite) graph G = (V, E) with n vertices and m edges. We propose two algorithms...
Kazuhisa Makino, Takeaki Uno
MCU
2004
126views Hardware» more  MCU 2004»
13 years 7 months ago
Universality and Cellular Automata
The classification of discrete dynamical systems that are computationally complete has recently drawn attention in light of Wolfram's "Principle of Computational Equivale...
Klaus Sutner