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Related Experiment Video

Updated: Jul 4, 2026

Rapid Verification of Terminators Using the pGR-Blue Plasmid and Golden Gate Assembly
09:51

Rapid Verification of Terminators Using the pGR-Blue Plasmid and Golden Gate Assembly

Published on: April 25, 2016

Deadlock checking for one-place unbounded Petri nets based on modified reachability trees.

ZhiJun Ding, ChangJun Jiang, MengChu Zhou

    IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
    |June 19, 2008
    PubMed
    Summary

    This study introduces a novel deadlock-checking method for unbounded Petri nets using modified reachability trees (MRTs). The approach enhances property analysis by distinguishing true from fake nodes in MRTs to identify deadlocks efficiently.

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    Area of Science:

    • Computer Science
    • Formal Methods
    • Automata Theory

    Background:

    • Petri nets are widely used for modeling concurrent systems.
    • Analyzing unbounded Petri nets presents challenges due to infinite state spaces.
    • Existing reachability tree methods may lose crucial information for unbounded systems.

    Discussion:

    • This paper presents a deadlock-checking approach for one-place unbounded Petri nets.
    • The method utilizes modified reachability trees (MRTs) that retain more information than finite reachability trees.
    • MRTs employ the expression a + bn(i) to represent marking components, preserving details lost with the symbol omega.

    Key Insights:

    • Modified reachability trees (MRTs) offer enhanced information for analyzing unbounded Petri nets.
    • Full conditional nodes in MRTs are classified into 'true' and 'fake' types for deadlock detection.
    • A novel algorithm determines the nature of these nodes, leading to a necessary and sufficient condition for deadlocks.

    Outlook:

    • The proposed method provides a more precise way to detect deadlocks in unbounded Petri nets.
    • This research contributes to the formal verification and analysis of complex concurrent systems.
    • Further applications of MRTs in other property analyses of unbounded Petri nets are anticipated.