Verifying Quantitative Properties of Continuous Probabilistic Timed Automata
نویسندگان
چکیده
We consider the problem of automatically verifying realtime systems with continuously distributed random delays. We generalise probabilistic timed automata introduced in [19], an extension of the timed automata model of [4], with clock resets made according to continuous probability distributions. Thus, our model exhibits nondeterministic and probabilistic choice, the latter being made according to both discrete and continuous probability distributions. To facilitate algorithmic verification, we modify the standard region graph construction by subdividing the unit intervals in order to approximate the probability to within an interval. We then develop a model checking method for continuous probabilistic timed automata, taking as our specification language Probabilistic Timed Computation Tree Logic (PTCTL). Our method improves on the previously known techniques in that it allows the verification of quantitative probability bounds, as opposed to qualitative properties which can only refer to bounds of probability 0 or 1.
منابع مشابه
Verifying Soft Deadlines with Probabilistic Timed Automata
This paper describes work in progess performed as part of an ongoing project aimed at the development of theoretical foundations and model checking algorithms for the verification of soft deadlines in timed systems, that is, properties such as “there is a 90% chance that the message will be delivered within 5 time units”. The research is focussed on the probabilistic timed automata model [11], ...
متن کاملVerifying Quantitative Properties of Continuous Probabilistic Real-Time Graphs?
We consider the problem of automatically verifying real-time systems with continuously distributed random delays. Our system model is an extension of the timed automata variant of 15], and exhibits nonde-terministic and probabilistic choice, the latter being made according to both discrete distributions and continuous density functions with nite support. To facilitate algorithmic veriication, w...
متن کاملVerifying Probabilistic Timed Automata Against Omega-Regular Dense-Time Properties
Probabilistic timed automata (PTAs) are timed automata (TAs) extended with discrete probability distributions. They serve as a mathematical model for a wide range of applications that involve both stochastic and timed behaviours. In this work, we consider the problem of model-checking linear dense-time properties over PTAs. In particular, we study linear dense-time properties that can be encode...
متن کاملVerification of Durational Action Timed Automata using UPPAAL
The increasing complexity of software is incessant, this phenomenon is even more accentuated when temporal aspects are introduced, hence the need for rigorous verification methods. The main purpose of this paper is to propose a quantitative verification approach based on model checking. Their properties are expressed in TCTL (Timed Computation Tree Logic) on real-time systems. The system behavi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000