Recursive Petri nets
Abstract In order to design and analyse complex systems, modelers need formal models with two contradictory requirements: a high expressivity and the decidability of behavioural property checking. Here we present and develop the theory of such a model, the recursive Petri nets. First, we show that t...
Ausführliche Beschreibung
Autor*in: |
Haddad, Serge [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2007 |
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Schlagwörter: |
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Systematik: |
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Anmerkung: |
© Springer-Verlag 2007 |
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Übergeordnetes Werk: |
Enthalten in: Acta informatica - Springer-Verlag, 1971, 44(2007), 7-8 vom: 11. Sept., Seite 463-508 |
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Übergeordnetes Werk: |
volume:44 ; year:2007 ; number:7-8 ; day:11 ; month:09 ; pages:463-508 |
Links: |
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DOI / URN: |
10.1007/s00236-007-0055-y |
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Katalog-ID: |
OLC2056520249 |
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10.1007/s00236-007-0055-y doi (DE-627)OLC2056520249 (DE-He213)s00236-007-0055-y-p DE-627 ger DE-627 rakwb eng 050 VZ 24,1 ssgn SA 1220 VZ rvk Haddad, Serge verfasserin aut Recursive Petri nets 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract In order to design and analyse complex systems, modelers need formal models with two contradictory requirements: a high expressivity and the decidability of behavioural property checking. Here we present and develop the theory of such a model, the recursive Petri nets. First, we show that the mechanisms supported by recursive Petri nets enable to model patterns of discrete event systems related to the dynamic structure of processes. Furthermore, we prove that these patterns cannot be modelled by ordinary Petri nets. Then we study the decidability of some problems: reachability, finiteness and bisimulation. At last, we develop the concept of linear invariants for this kind of nets and we design efficient computations specifically tailored to take advantage of their structure. Label Transition System Discrete Event System Abstract Transition Reachability Graph Reachability Problem Poitrenaud, Denis aut Enthalten in Acta informatica Springer-Verlag, 1971 44(2007), 7-8 vom: 11. Sept., Seite 463-508 (DE-627)129288179 (DE-600)120032-X (DE-576)014469766 0001-5903 nnns volume:44 year:2007 number:7-8 day:11 month:09 pages:463-508 https://doi.org/10.1007/s00236-007-0055-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-BBI GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_100 GBV_ILN_105 GBV_ILN_120 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_2244 GBV_ILN_4046 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4700 SA 1220 AR 44 2007 7-8 11 09 463-508 |
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10.1007/s00236-007-0055-y doi (DE-627)OLC2056520249 (DE-He213)s00236-007-0055-y-p DE-627 ger DE-627 rakwb eng 050 VZ 24,1 ssgn SA 1220 VZ rvk Haddad, Serge verfasserin aut Recursive Petri nets 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract In order to design and analyse complex systems, modelers need formal models with two contradictory requirements: a high expressivity and the decidability of behavioural property checking. Here we present and develop the theory of such a model, the recursive Petri nets. First, we show that the mechanisms supported by recursive Petri nets enable to model patterns of discrete event systems related to the dynamic structure of processes. Furthermore, we prove that these patterns cannot be modelled by ordinary Petri nets. Then we study the decidability of some problems: reachability, finiteness and bisimulation. At last, we develop the concept of linear invariants for this kind of nets and we design efficient computations specifically tailored to take advantage of their structure. Label Transition System Discrete Event System Abstract Transition Reachability Graph Reachability Problem Poitrenaud, Denis aut Enthalten in Acta informatica Springer-Verlag, 1971 44(2007), 7-8 vom: 11. Sept., Seite 463-508 (DE-627)129288179 (DE-600)120032-X (DE-576)014469766 0001-5903 nnns volume:44 year:2007 number:7-8 day:11 month:09 pages:463-508 https://doi.org/10.1007/s00236-007-0055-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-BBI GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_100 GBV_ILN_105 GBV_ILN_120 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_2244 GBV_ILN_4046 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4324 GBV_ILN_4700 SA 1220 AR 44 2007 7-8 11 09 463-508 |
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Abstract In order to design and analyse complex systems, modelers need formal models with two contradictory requirements: a high expressivity and the decidability of behavioural property checking. Here we present and develop the theory of such a model, the recursive Petri nets. First, we show that the mechanisms supported by recursive Petri nets enable to model patterns of discrete event systems related to the dynamic structure of processes. Furthermore, we prove that these patterns cannot be modelled by ordinary Petri nets. Then we study the decidability of some problems: reachability, finiteness and bisimulation. At last, we develop the concept of linear invariants for this kind of nets and we design efficient computations specifically tailored to take advantage of their structure. © Springer-Verlag 2007 |
abstractGer |
Abstract In order to design and analyse complex systems, modelers need formal models with two contradictory requirements: a high expressivity and the decidability of behavioural property checking. Here we present and develop the theory of such a model, the recursive Petri nets. First, we show that the mechanisms supported by recursive Petri nets enable to model patterns of discrete event systems related to the dynamic structure of processes. Furthermore, we prove that these patterns cannot be modelled by ordinary Petri nets. Then we study the decidability of some problems: reachability, finiteness and bisimulation. At last, we develop the concept of linear invariants for this kind of nets and we design efficient computations specifically tailored to take advantage of their structure. © Springer-Verlag 2007 |
abstract_unstemmed |
Abstract In order to design and analyse complex systems, modelers need formal models with two contradictory requirements: a high expressivity and the decidability of behavioural property checking. Here we present and develop the theory of such a model, the recursive Petri nets. First, we show that the mechanisms supported by recursive Petri nets enable to model patterns of discrete event systems related to the dynamic structure of processes. Furthermore, we prove that these patterns cannot be modelled by ordinary Petri nets. Then we study the decidability of some problems: reachability, finiteness and bisimulation. At last, we develop the concept of linear invariants for this kind of nets and we design efficient computations specifically tailored to take advantage of their structure. © Springer-Verlag 2007 |
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