Czasopismo
2005
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Vol. 38, nr 4
|
923--934
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In the paper a topological presentation of Petri nets has been presented. The presentation is based on a closure operation defined for an arbitrary transitive and dense binary relation. Such relations lead to a natural definition of Petri nets as a special bitopological spaces. In the paper some elementare properties of such spaces-the counter parts of some properties of Petri nets-are described. The paper may be seen as a generalization of [3].
Czasopismo
Rocznik
Tom
Strony
923--934
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
- University of Art and Science, ul. Wesoła 52, 25-369 Kielce, Poland
Bibliografia
- [1] H. J. Genrich, K. Lautenbach, P. S. Thiagarajan, Elements of General Net Theory, in: W. Brauer (ed.) Net Theory and Applications, LNCS 84 Springer Verlag Berlin, Heidelberg, New York, 1080.
- [2] D. Hasse, M. Michler, Theorie der Kategorien, Akademie-Verlag, Berlin 1976.
- [3] J. C. Kelly, Bitopological spaces, Proc. London. Math. Soc. (3), 13 (1963), 71-89.
- [4] W. Korczyński, On a notion of Petri net morphisms, Arch. Inform. Teoret. Stos.Vol. 8 (3-4) (1996), 383-399.
- [5] W. Korczyński, On a topological prezentation of graphs, Demonstratio Math. 37 no 4 (2004), 761-771.
- [6] S. Mac Lane, Categories for the Working Mathematician, Springer Verlag, New York, 1971.
- [7] P. H. Starke, Analyse von Petri Netz Modellen, Teubner Verlag Stuttgart, 1990.
- [8] G. Winskel, A New Definition of Morphisms of Petri Nets, Proc. STACS'84, Springer LNCS 166, Springer Verlag, Berlin, Heidelberg, New York (1984).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0011-0017