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We introduce Fortuna, the first tool for model checking priced probabilistic timed automata (PPTAs). Fortuna can handle the combination of real-time, probabilistic and cost features, which is required for addressing key design trade-offs that arise in many practical applications. For example the Zeroconf, Bluetooth, IEEE802.11 and Firewire protocols,… (More)

- Jasper Berendsen, Frits W. Vaandrager
- FORMATS
- 2008

The idea to use simulations (or refinements) as a composi-tional abstraction device is well-known, both in untimed and timed settings , and has already been studied theoretically and practically in many papers during the last three decades. Nevertheless, existing approaches do not handle two fundamental modeling concepts which, for instance, are frequently… (More)

The following full text is a preprint version which may differ from the publisher's version. Abstract There are only very few natural ways in which arbitrary functions can be combined. One composition operator is override: for arbitrary functions f and g, f > g is the function with domain dom(f) U dom(g) that behaves like f on dom(f) and like g on dom(g) \… (More)

This paper presents an algorithm for cost-bounded probabilistic reach-ability in timed automata extended with prices (on edges and locations) and discrete probabilistic branching. The algorithm determines whether the probability to reach a (set of) goal location(s) within a given price bound (and time bound) can exceed a threshold p ∈ [0, 1]. We prove that… (More)

- Jasper Berendsen, Taolue Chen, David N. Jansen
- TAMC
- 2009

Priced Probabilistic Timed Automata (PPTA) extend timed automata with cost-rates in locations and discrete probabilistic branching. The model is a natural combination of Priced Timed Automata and Probabilistic Timed Automata. In this paper we focus on cost-bounded probabilistic reachability for PPTA, which determines if the maximal probability to reach a… (More)

The model checker Uppaal is used to formally model and analyze parts of Zeroconf, a protocol for dynamic configuration of IPv4 link-local addresses that has been defined in RFC 3927 of the IETF. Our goal has been to construct a model that (a) is easy to understand by engineers, (b) comes as close as possible to the informal text (for each transition in the… (More)

- Jasper Berendsen, David N. Jansen, Julien Schmaltz, Frits W. Vaandrager
- J. Applied Logic
- 2010

In [JLS00] Jensen, Larsen & Skou: 1) claim to have constructed a framework that captures an important part of the semantics for networks of timed automata as used in the Uppaal model checker. 2) show a simulation relation within the framework such that making an abstraction of a single parallel component leads to an abstraction of the whole system. We will… (More)

- J. K. Berendsen
- 2005

This thesis introduces the model of Weighted Probabilistic Timed Automata (WPTA). WPTA are an extension of the well known Timed Automata. With WPTA we can make a specification of systems that have discrete control, and continuous real-time behaviour. Moreover we can model cost-per-time, depending on the discrete state, and we can model probability on the… (More)

- Jasper Berendsen, Frits Vaandrager, +4 authors Pritam Roy
- 2008

Interface formalisms are used to model both input and output requirements of system components. In [dAdSF + 05] de Alfaro e.a. present Sociable Interfaces in which interfaces can communicate via action synchronization as well as via shared variables. They show how interfaces can be composed via a product operator, and how bad states in the product can be… (More)