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What is the concept of cellular automata?

Cellular automata (CAs) are arrays of cells (1D, 2D or 3D) in which each cell is an identically programmed automaton. The idea was first proposed by John von Neumann, but became popular after John Conway introduced the Game of Life [Gardner, 1970].

What is universality of cellular automata?

A universal cellular automaton is a cellular automaton which, like a Turing machine, exhibits universality. von Neumann proved that an automaton consisting of cells with four orthogonal neighbors and 29 possible states would be capable of simulating a Turing machine for some configuration of about.

What are the periodic boundary conditions in cellular automaton?

It causes a loop for a 1D lattice and leads to the topology of a torus for a two-dimensional lattice. Periodic boundary conditions are the closest to simulate an infinite lattice, and for this reason they are very often used. The reflective boundary condition is obtained by reflecting the lattice at the boundary.

What are the real world applications of cellular automata?

Cellular automata have found application in various areas, including physics, theoretical biology and microstructure modeling.

What is cellular learning automata?

It is a mathematical model for dynamical complex systems that consists of a large number of simple learning components. Any number of learning automaton can reside in a specific cell.

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What is universal automata?

The universal automaton of a regular language is finite and can be effectively computed in the syntactic monoid or, more efficiently, from the minimal automaton of the language. We describe the construction that leads to tight bounds on the size of the universal automaton.

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