Combined model checking for temporal, probabilistic, and real-time logics

S. Konur, M. Fisher, S. Schewe

Research output: Contribution to journalArticlepeer-review


Model checking is a well-established technique for the formal verification of concurrent and distributed systems. In recent years, model checking has been extended and adapted for multi-agent systems, primarily to enable the formal analysis of belief-desire-intention systems. While this has been successful, there is a need for more complex logical frameworks in order to verify realistic multi-agent systems. In particular, probabilistic and real-time aspects, as well as knowledge, belief, goals, etc., are required. However, the development of new model checking tools for complex combinations of logics is both difficult and time consuming. In this article, we show how model checkers for the constituent temporal, probabilistic, and real-time logics can be re-used in a modular way when we consider combined logics involving different dimensions. This avoids the re-implementation of model checking procedures. We define a modular approach, prove its correctness, establish its complexity, and show how it can be used to describe existing combined approaches and define yet-unimplemented combinations. We also demonstrate the feasibility of our approach on a case study.
Original languageEnglish
Pages (from-to)61-88
Number of pages28
JournalTheoretical Computer Science
Publication statusPublished - 9 Sept 2013


  • combination of logics
  • complexity
  • formal verification
  • model checking
  • multi-agent systems


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