Strong Concatenable Processes: An Approach to the Category of Petri Net Computations

Forfattere

  • Vladimiro Sassone

DOI:

https://doi.org/10.7146/brics.v1i33.21610

Resumé

We introduce the notion of strong concatenable process for Petri nets as the least refinement of non-sequential (concatenable) processes which can be expressed abstractly by means of a functor Q[_] from the category of Petri nets to an appropriate category of symmetric strict monoidal categories with free non-commutative monoids of objects, in the precise sense that, for each net N, the strong concatenable processes of N are isomorphic to the arrows of Q[N]. This yields an axiomatization of the causal behaviour of Petri nets in terms of symmetric strict monoidal categories.

In addition, we identify a coreflection right adjoint to Q[_] and we characterize its replete image in the category of symmetric monoidal categories, thus yielding an abstract description of the category of net computations.

Downloads

Publiceret

1994-10-31

Citation/Eksport

Sassone, V. (1994). Strong Concatenable Processes: An Approach to the Category of Petri Net Computations. BRICS Report Series, 1(33). https://doi.org/10.7146/brics.v1i33.21610

Nummer

Nr. 33 (1994): RS-33 Strong Concatenable Processes: An Approach to the Category of Petri Net Computations

Sektion

Artikler

Licens

Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

    1. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

  1. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).