New Directions In Cellular Automata
Abdulrhman Elnekiti
TL;DR
This paper introduces a novel cellular automaton model that uses arithmetic operations as rules, capable of processing and outputting arithmetic expressions, and demonstrates its simulation of various 1D automata structures.
Contribution
It presents a new automaton model based on arithmetic operations, expanding the types of rules and input processing in cellular automata.
Findings
Successfully simulates elementary cellular automata dynamics
Handles arbitrary input sizes for arithmetic expressions
Demonstrates versatility in modeling different automaton structures
Abstract
We Propose A Novel Automaton Model which uses Arithmetic Operations as the Evolving Rules, each cell has the states of the Natural Numbers k = (N), a radius of r = 1/2 and operates on an arbitrary input size. The Automaton reads an Arithmetic Expression as an input and outputs another Arithmetic Expression. In Addition, we simulate a variety of One Dimensional Cellular Automata Structures with different Dynamics including Elementary Cellular Automata.
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Taxonomy
TopicsCellular Automata and Applications