Local rule distributions, language complexity and non-uniform cellular automata
نویسندگان
چکیده
منابع مشابه
Local rule distributions, language complexity and non-uniform cellular automata
This paper investigates a variant of cellular automata, namely ν-CA. Indeed, ν-CA are cellular automata which can have di erent local rules at each site of their lattice. The assignment of local rules to sites of the lattice completely characterizes ν-CA. In this paper, sets of assignments sharing some interesting properties are associated with languages of bi-in nite words. The complexity clas...
متن کاملComputational Complexity of Rule Distributions of Non-uniform Cellular Automata
ν-CA are cellular automata which can have different local rules at each site of their lattice. Indeed, the spatial distribution of local rules completely characterizes ν-CA. In this paper, sets of distributions sharing some interesting properties are associated with languages of biinfinite words. The complexity classes of these languages are investigated providing an initial rough classificatio...
متن کاملNon-uniform cellular automata and distributions of rules
Cellular automata (CA) are discrete dynamical systems consisting in an infinite number of finite automata arranged on a regular lattice. Each node of the lattice contains a variable which can only take a finite number of different values. At any time, the state of the CA, also called its current configuration, is specified by the values of those variables. A CA make evolve its configuration in ...
متن کاملNon-uniform Cellular Automata
In this paper we begin the study the dynamical behavior of non-uniform cellular automata and compare it to the behavior of “classical” cellular automata. In particular we focus on surjectivity and equicontinuity.
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Non-local cellular automata are fully discretized and uniform high-dimensional dynamical systems with non-local interactions. It is emphasized that although non-local interaction is not considered as a correct description of the physical world at its lowest level, at higher levels, it nevertheless is an important feature for systems in, for example, biology and economics. Many properties of non...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2013
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2012.05.013