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Abstract: . Streszczenie A correspondence between processes of Petri nets and partitioned matrices over freely generated semirings is described. This correspondence implies a correspondence between operations of composing processes sequentially and in parallel and operations of multiplying and juxtaposing the respective partitioned matrices, which results in a characterization of partitioned matrices corresponding to processes of a given net and, consequently, allows one to represent processes by their... (Update)
Context of citations to this paper: More
...example, they help to evaluate delays with which resulting tokens are obtained from initial ones for given durations of transitions. In [Wnk 96] it has been shown that in the case of context free net the correspondence between net processes and their partitioned matrices is...
...of sequential and parallel composition of such processes. Under these operations, the processes of each net formed an algebra. In [Wnk 97] the author defined matrix like characteristics of concatenable processes of the above nets and introduced operations on these...
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4: Petri nets are monoids: A new algebraic foundation for net theory (context) - Meseguer, Montanari - 1988
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BibTeX entry: (Update)
Winkowski, J., A Representation of Processes of Petri Nets by Matrices, Institute of Computer Science of the Polish Academy of Sciences, Technical Report 807, July 1996 27 http://citeseer.ist.psu.edu/winkowski96representation.html More
@article{ winkowski97representation,
author = "Jozef Winkowski",
title = "A Representation of Processes of Petri Nets by Matrices",
journal = "Fundamenta Informaticae",
volume = "30",
number = "1",
pages = "97-107",
year = "1997",
url = "citeseer.ist.psu.edu/winkowski96representation.html" }
Citations (may not include all citations):59 The Non-sequential Behaviour of Petri Nets (context) - Goltz, Reisig - 1983
57 Petri Net Models for Algebraic Theories of Concurrency (context) - van Glabbeek, Vaandrager - 1987
55 Sequential and Concurrent Behaviour in Petri Net Theory (context) - Best, Devillers - 1987
49 Petri Nets (context) - Reisig - 1985
47 Information and Computation (context) - Winskel - 1987
32 Axiomatizing Net Computations and Processes (context) - Degano, Meseguer et al. - 1989
17 Elements of General Net Theory (context) - Genrich, Lautenbach et al. - 1980
14 Petri Nets Are Monoids: A New Algebraic Foundation for Net T.. (context) - Meseguer, Montanari - 1988
6 Tracing Causality in Distributed Systems (context) - Ferrari, Montanari et al. - 1991
4 Concatenable Weighted Pomsets and Their Applications to Mode.. - Winkowski - 1985
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