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...
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...
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...
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...
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...