Existence and Uniqueness of a Minimum Crisp Boolean Petri Net
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10.5120/13013-0316 |
Gajendra Pratap Singh, Sangita Kansal and Mukti Acharya. Article: Existence and Uniqueness of a Minimum Crisp Boolean Petri Net. International Journal of Computer Applications 73(20):45-41, July 2013. Full text available. BibTeX
@article{key:article,
author = {Gajendra Pratap Singh and Sangita Kansal and Mukti Acharya},
title = {Article: Existence and Uniqueness of a Minimum Crisp Boolean Petri Net},
journal = {International Journal of Computer Applications},
year = {2013},
volume = {73},
number = {20},
pages = {45-41},
month = {July},
note = {Full text available}
}
Abstract
In the continuing research towards characterizing 1-safe Petri nets with n-places and generating all the 2n binary n-vectors as marking vectors exactly once, the problem of determine minimum Petri nets; 'minimum' in the sense that the number of transitions is kept minimum possible for the generation of all the 2n binary n-vectors has been found. In this paper, the existence and uniqueness of a minimum Petri net which generates all the 2n binary n-vectors exactly once has been shown. For brevity, a 1-safe Petri net that generate all the binary n-vectors as marking vectors is called a Boolean Petri net and a 1-safe Petri net that generates all the binary n-vectors exactly once is called crisp Boolean Petri net.
References
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