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Journal ArticleDOI

On Succinct Description of Certain Context-Free Languages by Ins-Del and Matrix Ins-Del Systems

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TLDR
It is shown that with respect to these measures, both the insertion-deletion systems are more succinct over context-free grammars in representing certain families of context- free languages.
Abstract
In this paper, we introduce some basic measures for insertion-deletion system and matrix insertion-deletion system. These measures are based on the number of variables, the number of productions and the number of symbols in a grammar. We show that with respect to these measures, both the systems are more succinct over context-free grammars in representing certain families of context-free languages.

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Citations
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On the computational power of insertion-deletion systems

TL;DR: The generative power of insertion-deletion systems (InsDel systems) is investigated, and it is shown that the family INS11DEL11 is equal to the family of recursively enumerable languages.

P Systems with Minimal Insertion and Deletion

TL;DR: In this paper, the authors considered insertion-deletion P systems with priority of deletion over insertion and showed that such systems with one-symbol context-free insertion and deletion rules are able to generate Parikh sets of all recursively enumerable languages (PsRE).
Journal ArticleDOI

Investigations on the power of matrix insertion-deletion systems with small sizes

TL;DR: This paper improves on and complement previous computational completeness results for matrix insertion-deletion systems, and generates non-semilinear languages using matrices of length three with context-free insertion and deletion rules.
Book ChapterDOI

Generative Power of Matrix Insertion-Deletion Systems with Context-Free Insertion or Deletion

TL;DR: This work shows for instance that matrix insertion-deletion systems with matrices of length two, insertion rules of type 1,i?ź1, i?Ż1 and context-free deletions are computationally complete and how to simulate Kleene stars of metalinear languages with several types of systems with very limited resources.
Journal ArticleDOI

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

TL;DR: The context-free grammars that generate these super-linear languages between LIN and CFL are discussed and also simulate them by matrix ins–del systems.
References
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Journal ArticleDOI

On Strongly Context-Free Languages

TL;DR: It is proved that there are such languages of a bounded complexity in terms of the number of nonterminals or productions necessary to generate them, whereas the complexity of their complements is arbitrarily large.

On Representing Natural Languages and Bio-molecular Structures using Matrix Insertion-deletion Systems and its Computational Completeness

TL;DR: This paper represents some natural language constraints such as triple agreement, crossed dependency, copy language using Matrix insertion-deletion systems and discusses how these constraints resemble some bio-molecular structures.