Cell Petri Net Concepts

Mitsuru Jitsukawa; Pauline Kawamoto; Yasunari Shidama; Yatsuka Nakamura

Formalized Mathematics (2009)

  • Volume: 17, Issue: 1, page 37-42
  • ISSN: 1426-2630

Abstract

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Based on the Petri net definitions and theorems already formalized in [8], with this article, we developed the concept of "Cell Petri Nets". It is based on [9]. In a cell Petri net we introduce the notions of colors and colored states of a Petri net, connecting mappings for linking two Petri nets, firing rules for transitions, and the synthesis of two or more Petri nets.MML identifier: PETRI 2, version: 7.11.01 4.117.1046

How to cite

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Mitsuru Jitsukawa, et al. "Cell Petri Net Concepts." Formalized Mathematics 17.1 (2009): 37-42. <http://eudml.org/doc/266850>.

@article{MitsuruJitsukawa2009,
abstract = {Based on the Petri net definitions and theorems already formalized in [8], with this article, we developed the concept of "Cell Petri Nets". It is based on [9]. In a cell Petri net we introduce the notions of colors and colored states of a Petri net, connecting mappings for linking two Petri nets, firing rules for transitions, and the synthesis of two or more Petri nets.MML identifier: PETRI 2, version: 7.11.01 4.117.1046},
author = {Mitsuru Jitsukawa, Pauline Kawamoto, Yasunari Shidama, Yatsuka Nakamura},
journal = {Formalized Mathematics},
language = {eng},
number = {1},
pages = {37-42},
title = {Cell Petri Net Concepts},
url = {http://eudml.org/doc/266850},
volume = {17},
year = {2009},
}

TY - JOUR
AU - Mitsuru Jitsukawa
AU - Pauline Kawamoto
AU - Yasunari Shidama
AU - Yatsuka Nakamura
TI - Cell Petri Net Concepts
JO - Formalized Mathematics
PY - 2009
VL - 17
IS - 1
SP - 37
EP - 42
AB - Based on the Petri net definitions and theorems already formalized in [8], with this article, we developed the concept of "Cell Petri Nets". It is based on [9]. In a cell Petri net we introduce the notions of colors and colored states of a Petri net, connecting mappings for linking two Petri nets, firing rules for transitions, and the synthesis of two or more Petri nets.MML identifier: PETRI 2, version: 7.11.01 4.117.1046
LA - eng
UR - http://eudml.org/doc/266850
ER -

References

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  8. [8] Pauline N. Kawamoto, Yasushi Fuwa, and Yatsuka Nakamura. Basic Petri net concepts. Formalized Mathematics, 3(2):183-187, 1992. 
  9. [9] Pauline N. Kawamoto and Yatsuka Nakamura. On Cell Petri Nets. Journal of Applied Functional Analysis, 1996. 
  10. [10] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990. 
  11. [11] Andrzej Trybulec. Enumerated sets. Formalized Mathematics, 1(1):25-34, 1990. 
  12. [12] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
  13. [13] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. 
  14. [14] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. 

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