D 2005

Timed-Arc Petri Nets vs. Networks of Timed Automata

SRBA, Jiří

Basic information

Original name

Timed-Arc Petri Nets vs. Networks of Timed Automata

Name in Czech

Casove Petriho site vs. site casovych automatu

Authors

SRBA, Jiří (203 Czech Republic, guarantor)

Edition

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

Publisher

Springer-Verlag

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10201 Computer sciences, information science, bioinformatics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/00216224:14330/05:00012754

Organization unit

Faculty of Informatics

UT WoS

000230367400022

Keywords in English

Petri nets; time models; verification; timed automata
Změněno: 6/7/2007 09:02, RNDr. JUDr. Vladimír Šmíd, CSc.

Abstract

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.

In Czech

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.

Links

GA201/03/1161, research and development project
Name: Verifikace nekonečně stavových systémů
Investor: Czech Science Foundation, Verification of infinite-state systems
MSM0021622419, plan (intention)
Name: Vysoce paralelní a distribuované výpočetní systémy
Investor: Ministry of Education, Youth and Sports of the CR, Highly Parallel and Distributed Computing Systems
1M0545, research and development project
Name: Institut Teoretické Informatiky
Investor: Ministry of Education, Youth and Sports of the CR, Institute for Theoretical Computer Science