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ON VARIANTS OF POSITIONED ECO-GRAMMAR SYSTEMS AND FINITE LANGUAGES

Miroslav Langer

First published: 2018-06-20https://doi.org/10.5593/sgem2018/2.1/s07.080View metrics

Abstract

Systematic research on the collective behaviour of formal grammars started in the 90s of 20th century. One of the variants of grammar system models was inspired by eco-systems and it is called eco-grammar systems. Eco-grammar systems describe the interplay between an evolving environment and the community of agents which form the eco-system. Each agent as well as the environment of the eco-grammar system is represented by its own 0L scheme. Agent in the eco-grammar systems can change environmental symbols independently on the mutual positions of the symbols and agent. Positioned eco-grammar systems (PEG systems, for short) were introduced in Langer, Pre-Procs. 1st Doctoral Workshop on Mathematical and Engineering Methods in Computer Science 2005, as a variant of the eco-grammar systems. In PEG systems we focus on the embodiment of the agents and their presence in the environment, what is main difference between PEG and eco-grammar systems. The environment of PEG system is represented by 0L scheme as well as in eco-grammar system, but the position of each agent in the environment is given by an identifier which represent the agent. Action of the agent is strictly determined by its position in the environment and by the symbol located immediately next to the agent. Our approach allows to study local changes in evolving environment caused by agents. Moreover, the position of an agent is strictly given by the special symbol and we are able to predict its behaviour and control the evolution of the environment as well. In this paper we investigate the ability of all variants of PEG systems mentioned in (Langer, Kybernetika 2014 and Langer, Kelemenova, SGEM 2017) to generate specific finite language. We show the necessity of presence of words of particular length in the language so the language can be generated by particular type of PEG system. Presented results extend our previous research of hierarchy of PEG systems presented in mentioned papers as well as the relation between PEG systems and finite languages shown in Langer, WFM 2006.

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Publication details

Title
ON VARIANTS OF POSITIONED ECO-GRAMMAR SYSTEMS AND FINITE LANGUAGES
Authors
Miroslav Langer
Proceedings
SGEM International Multidisciplinary Scientific GeoConference EXPO Proceedings; 18th International Multidisciplinary Scientific GeoConference SGEM2018, Informatics, Geoinformatics and Remote Sensing
Publisher
STEF92 Technology
Year
2018
Pages
625-632
SWS Citekey
Langer20187625632
ISSN
1314-2704
ISBN
978-619-7408-39-3
Language
en
Publication type
Conference Paper
Proceedings contents
Open official contents
Keywords
eco-grammar systemspositioned eco-grammar systemsmulti-agent systemsgenerative powerfinite languages
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