On describing super-linear languages by matrix insertion–deletion systems View Full Text


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Article Info

DATE

2019-03-12

AUTHORS

Indhumathi Raman, Lakshmanan Kuppusamy

ABSTRACT

Matrix insertion–deletion (matrix ins–del) systems combine the idea of matrix control (as established in regulated rewriting) with that of insertion and deletion operations (as opposed to replacements). There are matrix ins–del systems of small sizes that are known to describe linear languages but not even context-free languages. Our aim is to study the generative power of such matrix ins–del systems. In this regard, we consider six language classes, called super-linear languages between LIN and CFL, namely CLIN, SLIN, CSLIN, SCLIN, CSCLIN and SCSLIN obtained by applying concatenation or/and Kleene closure operation on linear languages. These classes deserve special attention due to the fact that LIN is closed neither under concatenation nor under Kleene closure. In this paper, we discuss the context-free grammars that generate these language classes and also simulate them by matrix ins–del systems. More... »

PAGES

1-14

References to SciGraph publications

  • 1998. DNA Computing, New Computing Paradigms in NONE
  • 2015. Universality of Graph-controlled Leftist Insertion-deletion Systems with Two States in MACHINES, COMPUTATIONS, AND UNIVERSALITY
  • 2016. Descriptional Complexity of Graph-Controlled Insertion-Deletion Systems in DESCRIPTIONAL COMPLEXITY OF FORMAL SYSTEMS
  • 2018-06. Investigations on the power of matrix insertion-deletion systems with small sizes in NATURAL COMPUTING
  • 2017. Dissecting Power of Certain Matrix Languages in THEORETICAL COMPUTER SCIENCE AND DISCRETE MATHEMATICS
  • 2016. Generative Power of Matrix Insertion-Deletion Systems with Context-Free Insertion or Deletion in UNCONVENTIONAL COMPUTATION AND NATURAL COMPUTATION
  • 2001. On the Number of Non-Terminal Symbols in Graph-Controlled, Programmed and Matrix Grammars in MACHINES, COMPUTATIONS, AND UNIVERSALITY
  • 2011. Matrix Insertion-Deletion Systems for Bio-Molecular Structures in DISTRIBUTED COMPUTING AND INTERNET TECHNOLOGY
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    http://scigraph.springernature.com/pub.10.1007/s12572-019-00246-5

    DOI

    http://dx.doi.org/10.1007/s12572-019-00246-5

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