A survey of cellular automata: types, dynamics, non-uniformity and applications

K Bhattacharjee, N Naskar, S Roy, S Das - Natural Computing, 2020 - Springer
Cellular automata (CAs) are dynamical systems which exhibit complex global behavior from
simple local interaction and computation. Since the inception of cellular automaton (CA) by …

Synchronous and asynchronous updating in cellular automata

B Schönfisch, A de Roos - BioSystems, 1999 - Elsevier
We analyze the properties of a synchronous and of various asynchronous methods to iterate
cellular automata. Asynchronous methods in which the time variable is not explicitly defined …

[图书][B] Computing in nonlinear media and automata collectives

A Adamatzky - 2001 - taylorfrancis.com
Computing in Nonlinear Media and Automata Collectives presents an account of new ways
to design massively parallel computing devices in advanced mathematical models, such as …

Partial commutation and traces

V Diekert, Y Métivier - Handbook of Formal Languages: Volume 3 Beyond …, 1997 - Springer
Parallelism and concurrency are fundamental concepts in computer science. Specification
and verification of concurrent programs are of first importance. It concerns our daily life …

A guided tour of asynchronous cellular automata

N Fates - International Workshop on Cellular Automata and …, 2013 - Springer
Research on asynchronous cellular automata has received a great amount of attention
these last years and has turned to a thriving field. We survey the recent research that has …

Basic notions of universal algebra for language theory and graph grammars

B Courcelle - Theoretical Computer Science, 1996 - Elsevier
This paper reviews the basic properties of the equational and recognizable subsets of
general algebras; these sets can be seen as generalizations of the context-free and regular …

[图书][B] The compressed word problem for groups

M Lohrey - 2014 - Springer
The study of computational problems in combinatorial group theory goes back more than
100 years. In a seminal paper from 1911, Max Dehn posed three decision problems [46]: the …

Monadic second-order logic, graph coverings and unfoldings of transition systems

B Courcelle, I Walukiewicz - Annals of Pure and Applied Logic, 1998 - Elsevier
We prove that every monadic second-order property of the unfolding of a transition system is
a monadic second-order property of the system itself. An unfolding is an instance of the …

The monadic second-order logic of graphs X: Linear orderings

B Courcelle - Theoretical Computer Science, 1996 - Elsevier
Graphs are finite and handled as relational structures. We give some answers to the
following general questions: Applications concern dependency graphs of partially …

A study on delay-sensitive cellular automata

S Roy - Physica A: Statistical Mechanics and its Applications, 2019 - Elsevier
Classically, in cellular automata, no delay in information sharing among the neighbouring
cells is considered. However, this assumption is not generally true for natural complex …