Algebraic representation of Petri nets


Abstract in English

This paper provides algebraic representation of Petri Nets model, taking advantage that the releasing principle of Petri Nets depends on reduction process of Monoiad of the commutative natural numbers. (In conclusion) Finally, we provided a theorem that explains how to make use of algebraic properties, to simulate Petri Nets algebraically and identify the results we will get after releasing a series of Petri Nets' transitions.

References used

ANTSAKLIS, P., IORDACHE, M., 2006 - A Petri Net Structural Approach , Birkhäuser Boston, University of Illinois, USA, 1-28
BAHLS, P., COLE, J., GALATOS, N., JIPSEN, P., TSINAKIS, C.,2003 - Cancellative residuated lattices, Algebra Universalis 50(1), 83– 106
GOOS, G., HARTMANIS, J., LEENWEN, J., 2014 - Application and Theory of Petri Nets and Concurrency: 35th International Conference, PETRI NETS 2014, Springer International Publishing, Tunis, Tunisia, 233-252

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