Constant Acceleration Theorem for Extended von Neumann Neighbourhoods - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier Access content directly
Conference Papers Year : 2016

Constant Acceleration Theorem for Extended von Neumann Neighbourhoods

Anaël Grandjean
  • Function : Author
  • PersonId : 998304

Abstract

We study 2-dimensional cellular automata as language recog-nizers. We are looking for closure properties, similar to the one existing in one dimension. Some results are already known for the most used neighbourhoods, however many problems remain open concerning more general neighbourhoods. In this paper we provide a construction to prove a constant acceleration theorem for extended von Neumann neighbourhoods. We then use this theorem and some classical tools to prove the equivalence of those neighbourhoods, considering the set of languages recognizable in real time.
Fichier principal
Vignette du fichier
automata2016.pdf (1.71 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

lirmm-01476307 , version 1 (24-02-2017)

Licence

Attribution

Identifiers

Cite

Anaël Grandjean. Constant Acceleration Theorem for Extended von Neumann Neighbourhoods. AUTOMATA, Jun 2016, Zurich, Switzerland. pp.149-158, ⟨10.1007/978-3-319-39300-1_12⟩. ⟨lirmm-01476307⟩
290 View
266 Download

Altmetric

Share

Gmail Facebook X LinkedIn More