Proposesd is a controllability condition of a siphon that is composed of two elementary siphons in a class of Petri nets, Systems of Simple Sequential Processes with Resources (S3PR). It is shown that, under the condition, an S3PR admits a maximally permissive liveness-enforcing supervisor that is expressed by a set of monitors if every dependent siphon is 2-composed, which can be decided by an algorithm with polynomial complexity.

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