By Fabrice Kordon, Daniel Moldt

ISBN-10: 3319390856

ISBN-13: 9783319390857

ISBN-10: 3319390864

ISBN-13: 9783319390864

This booklet constitutes the lawsuits of the thirty seventh foreign convention on software and idea 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 method layout convention, ACSD 2016.

The sixteen papers together with three device papers with four invited talks offered jointly during this quantity have been rigorously reviewed and chosen from forty two submissions.

Papers providing unique study on program or concept of Petri nets, in addition to contributions addressing themes correct to the overall box of disbursed and concurrent structures are offered inside of this quantity.

**Read Online or Download Application and Theory of Petri Nets and Concurrency: 37th International Conference, PETRI NETS 2016, Toruń, Poland, June 19-24, 2016. Proceedings PDF**

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

**Example text**

22 S. Lasota t1 x1 , x2 p1 p2 t2 z1 x1 = x2 y2 y1 z2 , z 3 y1 = y2 = z3 ∧ z1 = z2 Fig. 1. A Petri net with equality atoms with places P = {p1 , p2 } and transitions T = {t1 , t2 }. Diﬀerent atoms are depicted through diﬀerently colored tokens. – Equality atoms: natural numbers with equality A = (N, =); equally well any other countable inﬁnite set could be used instead of natural numbers N, as the only available relation is equality. – Total order atoms: rational numbers with the natural order A = (Q, ≤); again, any other countable inﬁnite dense total order without extremal elements could be used instead.

T. each one of the inﬁnitely-many equivalence classes is itself an inﬁnite subset of D. This structure is isomorphic to (N2 , =1 , =) and can be used to model data with nested equality, where one can check whether two elements belong to the same equivalence class and, if so, whether they are actually equal. Examples of homogeneous structures abound, see for instance [25]. From this point on we assume atoms to be a Σ-structure A satisfying the following two conditions: (A1) A is a homogeneous countable inﬁnite relational structure.

Executes a transition ij that inputs a token (a, a ) from pj and outputs, for an arbitrarily chosen a ∈ N diﬀerent than a and a , two tokens carrying (a, a ) and (a , a ) onto an auxiliary place q. In addition, let the transition output a token carrying (a , a ) onto place r. In the very last step of the simulation, two tokens will be moved from place q to pj by a transition ij , and a single token will be removed from r. The aim of the remaining steps is to check that a does not currently appear on place pj .

### Application and Theory of Petri Nets and Concurrency: 37th International Conference, PETRI NETS 2016, Toruń, Poland, June 19-24, 2016. Proceedings by Fabrice Kordon, Daniel Moldt

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