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Application and Theory of Petri Nets and Concurrency: 37th by Fabrice Kordon, Daniel Moldt

By Fabrice Kordon, Daniel Moldt

This booklet constitutes the lawsuits of the thirty seventh overseas convention on software and conception of Petri Nets and Concurrency, PETRI NETS 2016, held in Toruń, Poland, in June 2016. Petri Nets 2016 was once co-located with the appliance of Concurrency to approach layout convention, ACSD 2016.

The sixteen papers together with three instrument papers with four invited talks awarded jointly during this quantity have been conscientiously reviewed and chosen from forty two submissions.

Papers providing unique learn on program or concept of Petri nets, in addition to contributions addressing subject matters suitable to the overall box of allotted and concurrent structures are provided inside of this quantity.

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Additional resources for Application and Theory of Petri Nets and Concurrency: 37th International Conference, PETRI NETS 2016, Toruń, Poland, June 19-24, 2016. Proceedings

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13, 109–136 (1981) 14. : The ordinal-recursive complexity of timed-arc Petri nets, data nets, and other enriched nets. In: Proceedings of the LICS 2012, pp. 355–364 (2012) 15. : Countable homogeneous relational structures and ℵ0 -categorical theories. J. Symb. Logic 37, 494–500 (1972) 16. : Ordering by divisibility in abstract algebras. Proc. London Math. Soc. (3) 2(7), 326–336 (1952) 17. : Coverability trees for petri nets with unordered data. , L¨ oding, C. ) FOSSACS 2016. LNCS, vol. 9634, pp.

We show that Petri nets with atoms A2 can faithfully simulate computations of Minsky counter machines. In the sequel consider a fixed deterministic Minsky machine M with two counters c1 , c2 , and states Q. We will sketch a construction of a Petri net N over A2 that simulates the computation of M from the initial state with the initial counter values c1 = c2 = 0. The net will have the following transitions: T = {z1 , z2 , d1 , d2 , i1 , i2 , i1 , i2 , t1 , t2 } 26 S. Lasota pj x zj x x =12 x ∧ x = x Fig.

3). The transition detects a self-loop using the constraint x =12 x, where x is the input variable. The input token is output back onto place pj in order to preserve the representation of the counter value. Decrement: The decrement operation on a counter cj is simulated, roughly speaking, by replacing two consecutive edges on a cycle by one edge; using the condition y =12 x we can enforce that the edge y follows the edge x on the cycle. This is achieved by a transition dj (cf. Fig. 4) that inputs from pj two tokens carrying atoms (a, a ) and (a , a ), for arbitrarily chosen pairwise different a, a , a ∈ N, and outputs to pj one token carrying (a, a ).

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