An Approach to the Category of Net Computations

Sassone, V. (1994) An Approach to the Category of Net Computations. In, 6th Nordic Workshop on Programming Theory, NWPT '94. University of Aarhus, 385-399.


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We introduce the notion of strongly concatenable process as a refinement of concatenable processes [DMM89] which can be expressed axiomatically via a functor $Q[-]$ from the category of Petri nets to an appropriate category of symmetric strict monoidal categories, in the precise sense that, for each net $N$, the strongly concatenable processes of $N$ are isomorphic to the arrows of $Q[N]$. In addition, we identify a coreflection right adjoint to $Q[-]$ and characterize its replete image, thus yielding an axiomatization of the category of net computations.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Organisation: University of Aarhus
Keywords: petri nets processes, petri nets semantics, symmetric monoidal categories
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Web & Internet Science
ePrint ID: 261950
Date Deposited: 12 Feb 2006
Last Modified: 27 Mar 2014 20:05
Further Information:Google Scholar

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