Timed-Arc Petri Nets vs. Networks of Timed Automata

SRBA, Jiří. Timed-Arc Petri Nets vs. Networks of Timed Automata. In Proceedings of the 26th International Conference on Application and Theory of {P}etri Nets (ICATPN 2005). Netherlands: Springer-Verlag, 2005, s. 385-402.

Základní údaje

Originální název

Timed-Arc Petri Nets vs. Networks of Timed Automata

Název česky

Casove Petriho site vs. site casovych automatu

Autoři

SRBA, Jiří

Vydání

Netherlands, Proceedings of the 26th International Conference on Application and Theory of {P}etri Nets (ICATPN 2005), od s. 385-402, 18 s. 2005

Nakladatel

Springer-Verlag

---

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

10201 Computer sciences, information science, bioinformatics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Kód RIV

RIV/00216224:14330/05:00012754

Organizační jednotka

Fakulta informatiky

UT WoS

000230367400022

Klíčová slova anglicky

Petri nets; time models; verification; timed automata

Štítky

Petri nets, time models, timed automata, verification

---

Anotace

V originále

We establish mutual translations between the classes of 1-safe timed-arc Petri nets (and its extension with testing arcs) and networks of timed automata (and its subclass where every clock used in the guard has to be reset). The presented translations are very tight (up to isomorphism of labelled transition systems with time). This provides a convenient characterization from the theoretical point of view but is not always satisfactory from the practical point of view because of the possible non-polynomial blow up in the size (in the direction from automata to nets). Hence we relax the isomorphism requirement and provide efficient (polynomial time) reductions between networks of timed automata and 1-safe timed-arc Petri nets preserving the answer to the reachability question. This makes our techniques suitable for automatic translation into a format required by tools like UPPAAL and KRONOS. A direct corollary of the presented reductions is a new PSPACE-completeness result for reachability in 1-safe timed-arc Petri nets, reusing the region/zone techniques already developed for timed automata.

Česky

We establish mutual translations between the classes of 1-safe timed-arc Petri nets (and its extension with testing arcs) and networks of timed automata (and its subclass where every clock used in the guard has to be reset). The presented translations are very tight (up to isomorphism of labelled transition systems with time). This provides a convenient characterization from the theoretical point of view but is not always satisfactory from the practical point of view because of the possible non-polynomial blow up in the size (in the direction from automata to nets). Hence we relax the isomorphism requirement and provide efficient (polynomial time) reductions between networks of timed automata and 1-safe timed-arc Petri nets preserving the answer to the reachability question. This makes our techniques suitable for automatic translation into a format required by tools like UPPAAL and KRONOS. A direct corollary of the presented reductions is a new PSPACE-completeness result for reachability in 1-safe timed-arc Petri nets, reusing the region/zone techniques already developed for timed automata.

---

Návaznosti

GA201/03/1161, projekt VaV	Název: Verifikace nekonečně stavových systémů Investor: Grantová agentura ČR, Verifikace nekonečně stavových systémů
MSM0021622419, záměr	Název: Vysoce paralelní a distribuované výpočetní systémy Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, Vysoce paralelní a distribuované výpočetní systémy
1M0545, projekt VaV	Název: Institut Teoretické Informatiky Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, Institut Teoretické Informatiky