Issues on drawing the State Transition Diagram for arbitrary Cellular Automata

TL;DR

This paper introduces algorithms and a Cellular Automata Machine (CAM) to efficiently generate State Transition Diagrams for any cellular automaton rule, addressing various neighborhood types, boundary conditions, and lengths, while analyzing their complexity and hardware costs.

Contribution

It presents novel algorithms and a specialized CAM for constructing STD of arbitrary CA rules, covering diverse configurations and boundary conditions.

Findings

Algorithms successfully generate STD for various CA rules.

Hardware cost and complexity are analyzed.

The methods handle different neighborhood and boundary types.

Abstract

This paper proposes several algorithms and their Cellular Automata Machine (CAM) for drawing the State Transition Diagram (STD) of an arbitrary Cellular Automata (CA) Rule (any neighborhood, uniform/ hybrid and null/ periodic boundary) and length of the CA n. It also discusses the novelty, hardware cost and the complexities of these algorithms.