- AutorIn
- Karin Quaas
- Titel
- Kleene-Schützenberger and Büchi Theorems for Weighted Timed Automata
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa-38791
- Auflage
- 1
- Erstveröffentlichung
- 2010
- Datum der Einreichung
- 24.11.2009
- Datum der Verteidigung
- 24.03.2010
- ISBN
- 978-3-8325-2500-2
- Abstract (EN)
- In 1994, Alur and Dill introduced timed automata as a simple mathematical model for modelling the behaviour of real-time systems. In this thesis, we extend timed automata with weights. More detailed, we equip both the states and transitions of a timed automaton with weights taken from an appropriate mathematical structure. The weight of a transition determines the weight for taking this transition, and the weight of a state determines the weight for letting time elapse in this state. Since the weight for staying in a state depends on time, this model, called weighted timed automata, has many interesting applications, for instance, in operations research and scheduling. We give characterizations for the behaviours of weighted timed automata in terms of rational expressions and logical formulas. These formalisms are useful for the specification of real-time systems with continuous resource consumption. We further investigate the relation between the behaviours of weighted timed automata and timed automata. Finally, we present important decidability results for weighted timed automata.
- Freie Schlagwörter (DE)
- Gewichtete Zeitautomaten, Echtzeitsysteme, gewichtete Logik
- Freie Schlagwörter (EN)
- Weighted Timed Automata, Real-Time Systems, Weighted Logic
- Klassifikation (DDC)
- 000
- GutachterIn
- Dr. habil. Patricia Bouyer
- BetreuerIn
- Prof. Dr. Manfred Droste
- Den akademischen Grad verleihende / prüfende Institution
- Universität Leipzig, Institut für Informatik, Abteilung Automaten und Sprachen
- URN Qucosa
- urn:nbn:de:bsz:15-qucosa-38791
- Veröffentlichungsdatum Qucosa
- 08.07.2010
- Dokumenttyp
- Dissertation
- Sprache des Dokumentes
- Englisch