A polynomial-time algorithm for finding a semi-generator of Petri net invariants

A polynomial-time algorithm is proposed for finding a semigenerator of Petri net invariants. Invariants of a Petri net are solutions to a linear system of equations Ax=0 for the place-transition incidence matrix A representing this Petri net. The notion of a semigenerator is introduced: it is a maximal subset consisting of linearly independent elements of a generator, and any invariant can be expressed as linear combination of those elements in the set with negative coefficients allowed. The proposed algorithm adopts a linear programming technique.<
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