Scholarly record
ON VARIANTS OF POSITIONED ECO-GRAMMAR SYSTEMS AND FINITE LANGUAGES
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.
Publication Impact Profile
Publication details
References0
Structured references can be requested by opening this section. Existing publication metadata remains unchanged.
View or Download full articleAccess options
SWS access login
Login as SWS Scientific CommitteeLogin as SWS Scientific PartnerLogin as SWS AuthorAuthors and approved SWS contributors will read and export their own linked papers after identity matching by SWS profile, email and SGEM GlobalID.
For librarian assistance: [email protected]
Purchase Instant Access
- Article can be downloaded after successful payment.
- Article may be used according to SWS library access terms.
- Article cannot be redistributed.
