Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
The Sufficient Condition for Liveness of Colored Marked Graph
Qingxing LINKiyohiko NAKAMURAAtsunobu ICHIKAWA
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1994 Volume 30 Issue 1 Pages 72-78

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Abstract
The purpose of this paper is to investigate liveness of a special class of colored Petri net (CPN) with the structural color matching and the firing color matching introduced by Q. Lin and A. Ichikawa. A CPN is said to be a colored marked graph (CMG) if it is structurally marked graph when color difference in arcs and tokens is ignored. Petri net equivalent to colored marked graph (ECMG) is a new class of a net which has a special structure different from marked graph, conflict free Petri net and free choice Petri net. The sufficient condition is given for existence of a live marking in ECMG by means of deadlock, trap and fairness.
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