Comparing 1D and 2D Real Time on Cellular Automata

Autor: Grandjean, Anaël, Poupet, Victor
Rok vydání: 2016
Předmět:
Zdroj: STACS 2015: 367-378
Druh dokumentu: Working Paper
DOI: 10.4230/LIPIcs.STACS.2015.367
Popis: We study the influence of the dimension of cellular automata (CA) for real time language recognition of one-dimensional languages with parallel input. Specifically, we focus on the question of determining whether every language that can be recognized in real time on a 2-dimensional CA working on the Moore neighborhood can also be recognized in real time by a 1-dimensional CA working on the standard two-way neighborhood. We show that 2-dimensional CA in real time can perform a linear number of simulations of a 1-dimensional real time CA. If the two classes are equal then the number of simulated instances can be polynomial.
Databáze: arXiv