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  1. No Access

    Chapter

    Probabilistic Model Checking: Advances and Applications

    Probabilistic model checking is a powerful technique for formally verifying quantitative properties of systems that exhibit stochastic behaviour. Such systems are found in many application domains: for example...

    Marta Kwiatkowska, Gethin Norman, David Parker in Formal System Verification (2018)

  2. Open Access This content is freely available online to anyone, anywhere at any time.

    Article

    Verification and control of partially observable probabilistic systems

    We present automated techniques for the verification and control of partially observable, probabilistic systems for both discrete and dense models of time. For the discrete-time case, we formally model these s...

    Gethin Norman, David Parker, Xueyi Zou in Real-Time Systems (2017)

  3. Chapter and Conference Paper

    Autonomous Agent Behaviour Modelled in PRISM – A Case Study

    Formal verification of agents representing robot behaviour is a growing area due to the demand that autonomous systems have to be proven safe. In this paper we present an abstract definition of autonomy which ...

    Ruth Hoffmann, Murray Ireland, Alice Miller, Gethin Norman in Model Checking Software (2016)

  4. No Access

    Chapter and Conference Paper

    Mathematical Modelling of Trust Issues in Federated Identity Management

    With the absence of physical evidence, the concept of trust plays a crucial role in the proliferation and popularisation of online services. In fact, trust is the inherent quality that binds together all invol...

    Md. Sadek Ferdous, Gethin Norman, Audun Jøsang, Ron Poet in Trust Management IX (2015)

  5. No Access

    Chapter and Conference Paper

    Symbolic Minimum Expected Time Controller Synthesis for Probabilistic Timed Automata

    In this paper we consider the problem of computing the minimum expected time to reach a target and the synthesis of the corresponding optimal controller for a probabilistic timed automaton (PTA). Although this...

    Aleksandra Jovanović, Marta Kwiatkowska in Formal Modeling and Analysis of Timed Syst… (2015)

  6. No Access

    Chapter and Conference Paper

    Verification and Control of Partially Observable Probabilistic Real-Time Systems

    We propose automated techniques for the verification and control of probabilistic real-time systems that are only partially observable. To formally model such systems, we define an extension of probabilistic t...

    Gethin Norman, David Parker, Xueyi Zou in Formal Modeling and Analysis of Timed Systems (2015)

  7. No Access

    Book and Conference Proceedings

    Quantitative Evaluation of Systems

    Quantitative Evaluation of Systems

    11th International Conference, QEST 2014, Florence, Italy, September 8-10, 2014. Proceedings

    Gethin Norman, William Sanders in Lecture Notes in Computer Science (2014)

  8. No Access

    Chapter

    Probabilistic Model Checking of Labelled Markov Processes via Finite Approximate Bisimulations

    This paper concerns labelled Markov processes (LMPs), probabilistic models over uncountable state spaces originally introduced by Prakash Panangaden and colleagues. Motivated by the practical application of th...

    Alessandro Abate, Marta Kwiatkowska in Horizons of the Mind. A Tribute to Prakash… (2014)

  9. No Access

    Article

    Analysis of stochastic matching markets

    Suppose that the agents of a matching market contact each other randomly and form new pairs if is in their interest. Does such a process always converge to a stable matching if one exists? If so, how quickly? ...

    Péter Biró, Gethin Norman in International Journal of Game Theory (2013)

  10. No Access

    Article

    Model checking for probabilistic timed automata

    Probabilistic timed automata (PTAs) are a formalism for modelling systems whose behaviour incorporates both probabilistic and real-time characteristics. Applications include wireless communication protocols, a...

    Gethin Norman, David Parker, Jeremy Sproston in Formal Methods in System Design (2013)

  11. No Access

    Article

    Probabilistic verification of Herman’s self-stabilisation algorithm

    Herman’s self-stabilisation algorithm provides a simple randomised solution to the problem of recovering from faults in an N-process token ring. However, a precise analysis of the algorithm’s maximum execution ti...

    Marta Kwiatkowska, Gethin Norman, David Parker in Formal Aspects of Computing (2012)

  12. No Access

    Chapter and Conference Paper

    PRISM 4.0: Verification of Probabilistic Real-Time Systems

    This paper describes a major new release of the PRISM probabilistic model checker, adding, in particular, quantitative verification of (priced) probabilistic timed automata. These model systems exhibiting probabi...

    Marta Kwiatkowska, Gethin Norman, David Parker in Computer Aided Verification (2011)

  13. Chapter and Conference Paper

    Quantitative Multi-objective Verification for Probabilistic Systems

    We present a verification framework for analysing multiple quantitative objectives of systems that exhibit both nondeterministic and stochastic behaviour. These systems are modelled as probabilistic automata, ...

    Vojtěch Forejt, Marta Kwiatkowska in Tools and Algorithms for the Construction … (2011)

  14. No Access

    Chapter

    Automated Verification Techniques for Probabilistic Systems

    This tutorial provides an introduction to probabilistic model checking, a technique for automatically verifying quantitative properties of probabilistic systems. We focus on Markov decision processes (MDPs), w...

    Vojtěch Forejt, Marta Kwiatkowska in Formal Methods for Eternal Networked Softw… (2011)

  15. No Access

    Article

    A game-based abstraction-refinement framework for Markov decision processes

    In the field of model checking, abstraction refinement has proved to be an extremely successful methodology for combating the state-space explosion problem. However, little practical progress has been made in ...

    Mark Kattenbelt, Marta Kwiatkowska, Gethin Norman in Formal Methods in System Design (2010)

  16. No Access

    Chapter and Conference Paper

    Expected Reachability-Time Games

    In an expected reachability-time game (ERTG) two players, Min and Max, move a token along the transitions of a probabilistic timed automaton, so as to minimise and maximise, respectively, the expected time to ...

    Vojtěch Forejt, Marta Kwiatkowska in Formal Modeling and Analysis of Timed Syst… (2010)

  17. Chapter and Conference Paper

    Assume-Guarantee Verification for Probabilistic Systems

    We present a compositional verification technique for systems that exhibit both probabilistic and nondeterministic behaviour. We adopt an assume-guarantee approach to verification, where both the assumptions m...

    Marta Kwiatkowska, Gethin Norman in Tools and Algorithms for the Construction … (2010)

  18. No Access

    Chapter and Conference Paper

    A Framework for Verification of Software with Time and Probabilities

    Quantitative verification techniques are able to establish system properties such as “the probability of an airbag failing to deploy on demand” or “the expected time for a network protocol to successfully send...

    Marta Kwiatkowska, Gethin Norman in Formal Modeling and Analysis of Timed Syst… (2010)

  19. No Access

    Chapter

    Quantitative Verification Techniques for Biological Processes

    Probabilistic model checking is a formal verification framework for systems which exhibit stochastic behavior. It has been successfully applied to a wide range of domains, including security and communication ...

    Marta Kwiatkowska, Gethin Norman, David Parker in Algorithmic Bioprocesses (2009)

  20. Chapter and Conference Paper

    Bisimulation for Demonic Schedulers

    Bisimulation between processes has been proven a successful method for formalizing security properties. We argue that in certain cases, a scheduler that has full information on the process and collaborates wit...

    Konstantinos Chatzikokolakis, Gethin Norman in Foundations of Software Science and Comput… (2009)

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