Structural properties of place-labeled Petri net controlled grammars

A place-labeled Petri net controlled grammar is a context-free grammar equipped with a Petri net and a function which maps places of the net to productions of the grammar. The language consists of all terminal strings that can be obtained by parallelly applying of the rules of multisets which are th...

Full description

Bibliographic Details
Main Authors: Mohamad Jan, Nurhidaya, Turaev, Sherzod, Fong, Wan Heng, Sarmin, Nor Haniza
Format: Proceeding Paper
Language:English
Published: 2014
Subjects:
Online Access:http://irep.iium.edu.my/42431/
http://irep.iium.edu.my/42431/1/Structural_Properties_of_Place-Labeled_-_ICCEMS.pdf
_version_ 1848782270122426368
author Mohamad Jan, Nurhidaya
Turaev, Sherzod
Fong, Wan Heng
Sarmin, Nor Haniza
author_facet Mohamad Jan, Nurhidaya
Turaev, Sherzod
Fong, Wan Heng
Sarmin, Nor Haniza
author_sort Mohamad Jan, Nurhidaya
building IIUM Repository
collection Online Access
description A place-labeled Petri net controlled grammar is a context-free grammar equipped with a Petri net and a function which maps places of the net to productions of the grammar. The language consists of all terminal strings that can be obtained by parallelly applying of the rules of multisets which are the images of the sets of the input places of transitions in a successful occurrence sequence of the Petri net. In this paper, we investigate the structural properties of place-labeled Petri net controlled grammar related to control Petri nets. We show that removing useless places and transitions does not effect the generative capacity of the pPN controlled grammars. Moreover, we prove that for each pPN controlled grammar, we can construct an equivalent place-labeled ordinary net controlled grammar. Lastly, we show that the hierarchy problem for place-labeled bounded Petri net controlled grammars can be solved effectively.
first_indexed 2025-11-14T16:02:47Z
format Proceeding Paper
id iium-42431
institution International Islamic University Malaysia
institution_category Local University
language English
last_indexed 2025-11-14T16:02:47Z
publishDate 2014
recordtype eprints
repository_type Digital Repository
spelling iium-424312015-04-20T02:01:33Z http://irep.iium.edu.my/42431/ Structural properties of place-labeled Petri net controlled grammars Mohamad Jan, Nurhidaya Turaev, Sherzod Fong, Wan Heng Sarmin, Nor Haniza QA Mathematics QA75 Electronic computers. Computer science A place-labeled Petri net controlled grammar is a context-free grammar equipped with a Petri net and a function which maps places of the net to productions of the grammar. The language consists of all terminal strings that can be obtained by parallelly applying of the rules of multisets which are the images of the sets of the input places of transitions in a successful occurrence sequence of the Petri net. In this paper, we investigate the structural properties of place-labeled Petri net controlled grammar related to control Petri nets. We show that removing useless places and transitions does not effect the generative capacity of the pPN controlled grammars. Moreover, we prove that for each pPN controlled grammar, we can construct an equivalent place-labeled ordinary net controlled grammar. Lastly, we show that the hierarchy problem for place-labeled bounded Petri net controlled grammars can be solved effectively. 2014 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/42431/1/Structural_Properties_of_Place-Labeled_-_ICCEMS.pdf Mohamad Jan, Nurhidaya and Turaev, Sherzod and Fong, Wan Heng and Sarmin, Nor Haniza (2014) Structural properties of place-labeled Petri net controlled grammars. In: The 3rd International Conference on Computer Engineering and Mathematical Sciences (ICCEMS 2014), 4-5 Dec 2014, Langkawi, Kedah. http://www.iium.edu.my/irkhs/events/2nd-international-conference-creativity-innovation-sustainable-development-icci-2014
spellingShingle QA Mathematics
QA75 Electronic computers. Computer science
Mohamad Jan, Nurhidaya
Turaev, Sherzod
Fong, Wan Heng
Sarmin, Nor Haniza
Structural properties of place-labeled Petri net controlled grammars
title Structural properties of place-labeled Petri net controlled grammars
title_full Structural properties of place-labeled Petri net controlled grammars
title_fullStr Structural properties of place-labeled Petri net controlled grammars
title_full_unstemmed Structural properties of place-labeled Petri net controlled grammars
title_short Structural properties of place-labeled Petri net controlled grammars
title_sort structural properties of place-labeled petri net controlled grammars
topic QA Mathematics
QA75 Electronic computers. Computer science
url http://irep.iium.edu.my/42431/
http://irep.iium.edu.my/42431/
http://irep.iium.edu.my/42431/1/Structural_Properties_of_Place-Labeled_-_ICCEMS.pdf