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Artificial Chemistries$
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Wolfgang Banzhaf and Lidia Yamamoto

Print publication date: 2015

Print ISBN-13: 9780262029438

Published to MIT Press Scholarship Online: September 2016

DOI: 10.7551/mitpress/9780262029438.001.0001

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Rewriting Systems

Rewriting Systems

Chapter:
(p.181) Chapter 9 Rewriting Systems
Source:
Artificial Chemistries
Author(s):

Wolfgang Banzhaf

Lidia Yamamoto

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262029438.003.0009

This chapter provides an overview of a large class of artificial chemistries, formal rewriting systems. A brief introduction explains the general concept of rewriting or production systems. We then explore the classical lambda calculus which was used as an early example of an AC. Further sections are devoted to an AC computer language, Gamma, and the chemical abstract machine formalism. Other examples of ACs follow, among them the chemical rewriting system on multisets, P systems, and MGS. The chapter concludes with a short discussion of other formal calculi inspired by a chemical metaphor and an explanation of how L systems and other rewriting systems would fit into the category of Artificial Chemistries.

Keywords:   Brane calculi, Cell division Production systems, Dynamical systems, Lambda formalism, Membrane systems, Rewriting systems, Sorting

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