Geodesic
Finite automorphism groups of Petri Nets
Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 4, pp. 3-9 Cet article a éte moissonné depuis la source Math-Net.Ru

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The notion of isomorphism and automorphism for labeled transition systems are defined, in particular monotonic isomorphism and automorphism – for well structured transition systems. It is shown, that any automorphism corresponds to a sertain bisimulation. It is prowed, that a group of monotonic automorphisms in any Petri Nets is finite.
Keywords: group of automorphism, bisimulation of states
Mots-clés : monotonic isomorphism. 
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Yu. A. Belov. Finite automorphism groups of Petri Nets. Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 4, pp. 3-9. http://geodesic.mathdoc.fr/item/MAIS_2008_15_4_a0/

[1] E. V. Kuzmin, V. A. Sokolov, Strukturirovannye sistemy perekhodov, Fizmatlit, M., 2006 | MR

[2] Yu. A. Belov, “Avtomorfizmy sistem perekhodov”, Modelirovanie i analiz informatsionnykh sistem, 14:1 (2007), 54–56

[3] B. I. Plotkin, Gruppy avtomorfizmov algebraicheskikh sistem, Nauka, M., 1966 | MR | Zbl

[4] V. A. Emelichev, O. I. Melnikov, V. I. Sarvanov, V. I. Tyshkevich, Lektsii po teorii grafov, Nauka, M., 1990 | MR | Zbl

[5] Yu. A. Belov, “Korrektnye otobrazheniya sistem s perekhodami”, Modelirovanie i analiz informatsionnykh sistem, 8:1 (2001), 47–49

[6] V. A. Bashkin, I. A. Lomazova, Ekvivalentnost resursov v setyakh Petri, Nauchnyi mir, M., 2008

[7] L. A. Skornyakov, Elementy teorii struktur, Fizmatlit, M., 1970 | MR