Groups and Monoids of Cellular Automata
: Salo V
: Kari J.
: International Workshop on Cellular Automata and Discrete Complex Systems
Publisher: SPRINGER-VERLAG NEW YORK, MS INGRID CUNNINGHAM, 175 FIFTH AVE, NEW YORK, NY 10010 USA
: Berlin
: 2015
: Cellular Automata and Discrete Complex Systems. AUTOMATA 2015
: CELLULAR AUTOMATA AND DISCRETE COMPLEX SYSTEMS, AUTOMATA 2015
: LECT NOTES COMPUT SC
: Lecture Notes in Computer Science
: 9099
: 17
: 45
: 29
: 978-3-662-47220-0
: 978-3-662-47221-7
: 0302-9743
DOI: https://doi.org/10.1007/978-3-662-47221-7_3
We discuss groups and monoids defined by cellular automata on full shifts, sofic shifts, minimal subshifts, countable subshifts and coded and synchronized systems. Both purely group-theoretic properties and issues of decidability are considered.