Context-free Petri net controlled grammars under parallel firing strategy

Gairatzhan Mavlankulov; Laula Zhumabayeva; Mohamed Othman; Tamara Zhukabayeva; Mohd Hasan Selamat; Sherzod Turaev

doi:10.18576/amis/100515

Context-free Petri net controlled grammars under parallel firing strategy

Gairatzhan Mavlankulov
, Laula Zhumabayeva
, Mohamed Othman
, Tamara Zhukabayeva
, Mohd Hasan Selamat
, Sherzod Turaev

Research output: Contribution to journal › Article › peer-review

Abstract

Petri nets are becoming one of the most important mathematical tools in Computer Science. In this paper we propose a new firing strategy in Petri Nets called a parallel firing strategy and study some mathematical properties of concurrent grammars which are controlled by Petri nets under parallel firing strategies.We propose some modes on this strategy and a notion of concurrent context-free grammar which is a similar to the context-free Petri nets under parallel firing strategy, where parallel firing modes of context-free Petri nets were converted to rule applications in context-free grammars. Moreover, we investigate some their properties.

Original language	English
Pages (from-to)	1757-1762
Number of pages	6
Journal	Applied Mathematics and Information Sciences
Volume	10
Issue number	5
DOIs	https://doi.org/10.18576/amis/100515
Publication status	Published - Sept 1 2016
Externally published	Yes

Keywords

Controlled grammars
Parallel computing
Parallel firing
Petri nets

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.18576/amis/100515

Cite this

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title = "Context-free Petri net controlled grammars under parallel firing strategy",

abstract = "Petri nets are becoming one of the most important mathematical tools in Computer Science. In this paper we propose a new firing strategy in Petri Nets called a parallel firing strategy and study some mathematical properties of concurrent grammars which are controlled by Petri nets under parallel firing strategies.We propose some modes on this strategy and a notion of concurrent context-free grammar which is a similar to the context-free Petri nets under parallel firing strategy, where parallel firing modes of context-free Petri nets were converted to rule applications in context-free grammars. Moreover, we investigate some their properties.",

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author = "Gairatzhan Mavlankulov and Laula Zhumabayeva and Mohamed Othman and Tamara Zhukabayeva and Selamat, \{Mohd Hasan\} and Sherzod Turaev",

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AU - Mavlankulov, Gairatzhan

AU - Zhumabayeva, Laula

AU - Othman, Mohamed

AU - Zhukabayeva, Tamara

AU - Selamat, Mohd Hasan

AU - Turaev, Sherzod

PY - 2016/9/1

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N2 - Petri nets are becoming one of the most important mathematical tools in Computer Science. In this paper we propose a new firing strategy in Petri Nets called a parallel firing strategy and study some mathematical properties of concurrent grammars which are controlled by Petri nets under parallel firing strategies.We propose some modes on this strategy and a notion of concurrent context-free grammar which is a similar to the context-free Petri nets under parallel firing strategy, where parallel firing modes of context-free Petri nets were converted to rule applications in context-free grammars. Moreover, we investigate some their properties.

AB - Petri nets are becoming one of the most important mathematical tools in Computer Science. In this paper we propose a new firing strategy in Petri Nets called a parallel firing strategy and study some mathematical properties of concurrent grammars which are controlled by Petri nets under parallel firing strategies.We propose some modes on this strategy and a notion of concurrent context-free grammar which is a similar to the context-free Petri nets under parallel firing strategy, where parallel firing modes of context-free Petri nets were converted to rule applications in context-free grammars. Moreover, we investigate some their properties.

KW - Controlled grammars

KW - Parallel computing

KW - Parallel firing

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Context-free Petri net controlled grammars under parallel firing strategy

Abstract

Keywords

ASJC Scopus subject areas

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