On shift-invariant maximal filters and hormonal cellular automata
Résumé
This paper deals with the construction of shift-invariant maximal filters on ℤ and their relation to hormonal cellular automata, a generalization of the cellular automata computation model with some information about the global state shared among all the cells. We first design shift-invariant maximal filters in order to define this new model of computation. Starting from different assumptions, we show how to construct such filters, and analyze the computation power of the induced cellular automata computation model.
Mots clés
cellular automata
cellular automata computation model generalization
computation power
hormonal cellular automata
induced cellular automata computation model
shift-invariant maximal filter design
Analytical models
Atmospheric modeling
Automata
Biological system modeling
Computational modeling
Upper bound