Towards Model-checking Probabilistic Timed Automata against Probabilistic Duration Properties

• Main Authors: Dang, Van Hung, Miaomiao, Zhang, Pham, Dinh Chinh
• Format: Article
• Language: English
• Published: ĐHQGHN 2017
• Subjects: Probabilistic Duration Calculus; Probabilistic Timed Automata; Model-checking; Markov Decision Process
• Online Access: http://repository.vnu.edu.vn/handle/VNU_123/56777
• Institution: Vietnam National University, Hanoi

In this paper, we consider a subclass of Probabilistic Duration Calculus formula called Simple Probabilistic Duration Calculus (SPDC) as a language for specifying dependability requirements for real-time systems, and address the two problems: to decide if a probabilistic timed automaton satisfies a SPDC formula, and to decide if there exists a strategy of a probabilistic timed automaton satisfies a SPDC formula. We prove that the both problems are decidable for a class of SPDC called probabilistic linear duration invariants, and provide model checking algorithms for solving these problems.