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» Computability of Countable Subshifts
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FCT
2005
Springer
14 years 3 months ago
Completeness and Compactness of Quantitative Domains
In this paper we study the interplay between metric and order completeness of semantic domains equipped with generalised distances. We prove that for bounded complete posets direct...
Pawel Waszkiewicz
CORR
2010
Springer
82views Education» more  CORR 2010»
13 years 7 months ago
Computing (or not) Quasi-Periodicity Functions of Tilings
Abstract. We know that tilesets that can tile the plane always admit a quasiperiodic tiling [4, 8], yet they hold many uncomputable properties [3, 11, 21, 25]. The quasi-periodicit...
Alexis Ballier, Emmanuel Jeandel
MLQ
2002
87views more  MLQ 2002»
13 years 9 months ago
A Relationship between Equilogical Spaces and Type Two Effectivity
Abstract. In this paper I compare two well studied approaches to topological semantics-the domain-theoretic approach, exemplified by the category of countably based equilogical spa...
Andrej Bauer
STACS
2009
Springer
14 years 4 months ago
Undecidable Properties of Limit Set Dynamics of Cellular Automata
Cellular Automata (CA) are discrete dynamical systems and an abstract model of parallel computation. The limit set of a cellular automaton is its maximal topological attractor. A w...
Pietro di Lena, Luciano Margara
FUIN
2006
85views more  FUIN 2006»
13 years 9 months ago
Decidability and Universality in Symbolic Dynamical Systems
Many different definitions of computational universality for various types of dynamical systems have flourished since Turing's work. We propose a general definition of univers...
Jean-Charles Delvenne, Petr Kurka, Vincent D. Blon...