Application and Theory of Petri Nets: 33rd International by Tony Hoare (auth.), Serge Haddad, Lucia Pomello (eds.)

By Tony Hoare (auth.), Serge Haddad, Lucia Pomello (eds.)

This e-book constitutes the refereed court cases of the thirty third overseas convention on purposes and idea of Petri Nets and Concurrency, PETRI NETS 2012, held in Hamburg, Germany, in June 2012. The 18 ordinary papers and three instrument papers provided have been rigorously reviewed and chosen from fifty five submissions. The publication additionally comprises 2 invited talks. All present matters on examine and improvement within the region of Petri nets and similar versions of concurrent platforms are addressed.

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Extra info for Application and Theory of Petri Nets: 33rd International Conference, PETRI NETS 2012, Hamburg, Germany, June 25-29, 2012. Proceedings

Sample text

There is an added difficulty, in the sense that one should also check that lubaccelerations, as they are used in CloverS , are enough to reach all required least upper bounds. The key point is the following lemma, which asserts the existence of finitely many subsequences g pj + qj (s), ∈ N, whose exponents form infinite arithmetic progressions, and which generate all possible limits of directed families of elements of the form g n (s), n ∈ N, except possibly for finitely many isolated points. This is the point in our study where progress is needed.

S recent coverability algorithm [GRvB07], which compare nodes across branches. That the simple test P ostS (A) ≤ A does all this at once does not seem to have been observed until now. 1 Correctness and Termination of the Clover Procedure We cannot hope to have CloverS terminate on all inputs. But we can at least start by showing that it is correct, whenever it terminates. This will be Theorem 4 below. We first show that if CloverS terminates then the computed set A is contained in Lub(P ost∗S (s0 )).

Notes Theor. Comput. Sci. : Nets with Tokens Which Carry Data. , Yakovlev, A. ) ICATPN 2007. LNCS, vol. 4546, pp. 301–320. : Foundations of BQO theory. Trans. Amer. Math. Soc. : Undecidable problems in unreliable computations. Theor. Comput. Sci. : Undecidable problems in unreliable computations. : The complexity of the finite containment problem for petri nets. J. : The covering and boundedness problems for vector addition systems. Theor. Comput. Sci. : Accelerations for the Coverability Set of Petri Nets with Names.

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