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» The ibT degrees of computably enumerable sets are not dense
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LOGCOM
2007
72views more  LOGCOM 2007»
15 years 4 days 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
14 years 7 months 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
90
Voted
STACS
2001
Springer
15 years 4 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...
86
Voted
SWAT
2004
Springer
163views Algorithms» more  SWAT 2004»
15 years 5 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
107
Voted
MCU
2004
126views Hardware» more  MCU 2004»
15 years 1 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