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...
This paper presents a 1D intrinsically universal cellular automaton with four states for a first neighbors neighborhood, improving on the previous lower bound and getting nearer ...
Let F be a cellular automaton (CA). This paper establishes necessary conditions for F in order to be intrinsically universal. The central idea is to consider the communication com...
Eric Goles Chacc, Pierre-Etienne Meunier, Ivan Rap...
We prove that if a set X ⊆ Z2 weakly self-assembles at temperature 1 in a deterministic (Winfree) tile assembly system satisfying a natural condition known as pumpability, then ...
The general Bandpass problem is NP-hard and was claimed NP-hard when the number of columns is three. Previously we designed a polynomial time row-stacking algorithm for the three ...
It is a well-know fact that apparently simple systems can give rise to complex behavior. But why exactly does a given system behave in a complex manner? There are two main approac...