ON THE NUMBER OF ACTIVE SYMBOLS IN LINDENMAYER SYSTEMS

Author:

DASSOW JÜRGEN1,VASZIL GYÖRGY2

Affiliation:

1. Otto-von-Guericke-Universität Magdeburg, Fakultät für Informatik, PSF 4120, D–39016 Magdeburg, Germany

2. Computer and Automation Institute, Hungarian Academy of Sciences, Kende u. 13–17, H-1111 Budapest, Hungary

Abstract

A symbol a is called active in an L system G if there is a rule a → υ with a ≠ υ in some table of G. By AcX(L) we denote the number of active symbols necessary to generate L by L systems of type X. For two types X and Y of L systems such that the corresponding languages families [Formula: see text] and [Formula: see text] satisfy [Formula: see text], we say that Y is more efficient than X, if there is a sequence of languages [Formula: see text], n ≥ 1, such that AcX(Ln) ≥ n and AcY(Ln) ≤ k for some constant k. In this paper we shall show that the inclusion [Formula: see text] implies that Y is more efficient than X. Analogous results are presented for some modifications of the measure of active symbols.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. EDT0L grammars with only one variable have tractable generating functions;RAIRO - Theoretical Informatics and Applications;2023

2. Active symbols in grammars with valuations;Theoretical Computer Science;2017-06

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3