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arXiv · 1510.06020

Petri Nets and its Polynomials

Andrey Grinblat·Viktor Lopatkin
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Abstract

For every finite Petri net, we construct a commutative polynomial in two variables and with coefficients from the semiring of natural numbers. We also present an inverse construction and show that multiplication of polynomials correspondence to the product of the corresponding Petri nets in the category of Petri nets with Winskel's morphisms. We endow the set of all Petri nets with Zariski topology.

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Andrey Grinblat, Viktor Lopatkin. 2017-06-25. Petri Nets and its Polynomials. https://arxiv.org/abs/1510.06020

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