The generative capacity of weighted simple and semi-simple splicing systems

Wan Heng Fong, Yee Siang Gan, Nor Haniza Sarmin, Sherzod Turaev

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The mathematical modelling of splicing systems (H systems) was initiated by Head in 1987. By restricting the splicing rules of splicing systems, some variants of splicing systems such as simple and semi-simple splicing systems have been developed. Due to the limitation on the generative power of the variants of splicing systems, weights have been used as the restrictions in the variants of splicing systems recently, namely weighted one-sided splicing systems, weighted simple splicing systems and weighted semi-simple splicing systems. In this paper, we investigate the generative power of weighted simple and semi-simple splicing systems by considering different and specified weighting spaces and weighting operations. In addition, the generative power of weighted simple and semi-simple splicing systems are generalised by relating their generated threshold languages to the Chomsky hierarchy.

Original languageEnglish
Title of host publicationAdvances in Industrial and Applied Mathematics
Subtitle of host publicationProceedings of 23rd Malaysian National Symposium of Mathematical Sciences, SKSM 2015
EditorsShaharuddin Salleh, Normah Maan, Muhammad Hisyam Lee, Yudariah Mohammad Yusof, Nor'aini Aris, Tahir Ahmad, Arifah Bahar, Zaitul Marlizawati Zainuddin
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414075
DOIs
Publication statusPublished - Jun 21 2016
Externally publishedYes
Event23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015 - Johor Bahru, Malaysia
Duration: Nov 24 2015Nov 26 2015

Publication series

NameAIP Conference Proceedings
Volume1750
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015
Country/TerritoryMalaysia
CityJohor Bahru
Period11/24/1511/26/15

Keywords

  • Weights
  • generative power
  • semi-simple
  • simple
  • splicing systems

ASJC Scopus subject areas

  • General Physics and Astronomy

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