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Profile: Wiebe van der Hoek (University of Liverpool)
  1. Joshua Sack & Wiebe van der Hoek (2014). A Modal Logic for Mixed Strategies. Studia Logica 102 (2):339-360.
    Modal logics have proven to be a very successful tool for reasoning about games. However, until now, although logics have been put forward for games in both normal form and games in extensive form, and for games with complete and incomplete information, the focus in the logic community has hitherto been on games with pure strategies. This paper is a first to widen the scope to logics for games that allow mixed strategies. We present a modal logic for games in (...)
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  2. Giacomo Bonanno, Hans van Ditmarsch & Wiebe van der Hoek (2013). Editorial Introduction to the Special Issue LOFT Sevilla. Journal of Philosophical Logic 42 (6):795-798.
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  3. Cilia Witteman & Wiebe van der Hoek (2012). Erratum To: Introduction Chapter. Synthese 189 (1):185-185.
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  4. Cilia Witteman & Wiebe van der Hoek (2012). Introduction Chapter. Synthese 189 (1):1-3.
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  5. Giacomo Bonanno, Andreas Herzig, Wiebe van der Hoek & Jérôme Lang (2011). Foreword. Journal of Applied Non-Classical Logics 21 (3-4):263-264.
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  6. Nicolas Troquard, Wiebe van der Hoek & Michael Wooldridge (2011). Reasoning About Social Choice Functions. Journal of Philosophical Logic 40 (4):473-498.
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  7. Hans van Ditmarsch, Wiebe van der Hoek & Petar Iliev (2011). Everything is Knowable – How to Get to Know Whether a Proposition is True. Theoria 78 (2):93-114.
    Fitch showed that not every true proposition can be known in due time; in other words, that not every proposition is knowable. Moore showed that certain propositions cannot be consistently believed. A more recent dynamic phrasing of Moore-sentences is that not all propositions are known after their announcement, i.e., not every proposition is successful. Fitch's and Moore's results are related, as they equally apply to standard notions of knowledge and belief (S 5 and KD45, respectively). If we interpret ‘successful’ as (...)
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  8. Thomas Ågotnes, Wiebe Van der Hoek, Juan A. Rodríguez-Aguilar, Carles Sierra & Michael Wooldridge (2009). Multi-Modal CTL: Completeness, Complexity, and an Application. [REVIEW] Studia Logica 92 (1):1-26.
    We define a multi-modal version of Computation Tree Logic (ctl) by extending the language with path quantifiers E δ and A δ where δ denotes one of finitely many dimensions, interpreted over Kripke structures with one total relation for each dimension. As expected, the logic is axiomatised by taking a copy of a ctl axiomatisation for each dimension. Completeness is proved by employing the completeness result for ctl to obtain a model along each dimension in turn. We also show that (...)
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  9. Thomas Ågotnes, Wiebe van der Hoek & Michael Wooldridge (2008). Quantified Coalition Logic. Synthese 165 (2):269 - 294.
    We add a limited but useful form of quantification to Coalition Logic, a popular formalism for reasoning about cooperation in game-like multi-agent systems. The basic constructs of Quantified Coalition Logic (QCL) allow us to express such properties as “every coalition satisfying property P can achieve φ” and “there exists a coalition C satisfying property P such that C can achieve φ”. We give an axiomatisation of QCL, and show that while it is no more expressive than Coalition Logic, it is (...)
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  10. Giacomo Bonanno, Wiebe van der Hoek & Michael Wooldridge (eds.) (2008). Logic and the Foundations of Game and Decision Theory. Amsterdam University Press.
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  11. Paul E. Dunne, Wiebe van der Hoek & Michael Wooldridge (2007). A Logical Characterisation of Qualitative Coalitional Games. Journal of Applied Non-Classical Logics 17 (4):477-509.
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  12. Wiebe van der Hoek, Wojciech Jamroga & Michael Wooldridge (2007). Towards a Theory of Intention Revision. Synthese 155 (2):265-290.
    Although the change of beliefs in the face of new information has been widely studied with some success, the revision of other mental states has received little attention from the theoretical perspective. In particular, intentions are widely recognised as being a key attitude for rational agents, and while several formal theories of intention have been proposed in the literature, the logic of intention revision has been hardly considered. There are several reasons for this: perhaps most importantly, intentions are very closely (...)
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  13. Wiebe van der Hoek, Mark Roberts & Michael Wooldridge (2007). Social Laws in Alternating Time: Effectiveness, Feasibility, and Synthesis. Synthese 156 (1):1-19.
    Since it was first proposed by Moses, Shoham, and Tennenholtz, the social laws paradigm has proved to be one of the most compelling approaches to the offline coordination of multiagent systems. In this paper, we make four key contributions to the theory and practice of social laws in multiagent systems. First, we show that the Alternating-time Temporal Logic (atl) of Alur, Henzinger, and Kupferman provides an elegant and powerful framework within which to express and understand social laws for multiagent systems. (...)
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  14. Sieuwert van Otterloo, Wiebe Van Der Hoek & Michael Wooldridge (2006). Knowledge Condition Games. Journal of Logic, Language and Information 15 (4):425-452.
    Understanding the flow of knowledge in multi-agent protocols is essential when proving the correctness or security of such protocols. Current logical approaches, often based on model checking, are well suited for modeling knowledge in systems where agents do not act strategically. Things become more complicated in strategic settings. In this paper we show that such situations can be understood as a special type of game – a knowledge condition game – in which a coalition “wins” if it is able to (...)
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  15. Wiebe van der Hoek (2004). Editorial. Synthese 139 (2).
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  16. Wiebe van der Hoek & Michael Wooldridge (2003). Cooperation, Knowledge, and Time: Alternating-Time Temporal Epistemic Logic and its Applications. Studia Logica 75 (1):125-157.
    Branching-time temporal logics have proved to be an extraordinarily successful tool in the formal specification and verification of distributed systems. Much of their success stems from the tractability of the model checking problem for the branching time logic CTL, which has made it possible to implement tools that allow designers to automatically verify that systems satisfy requirements expressed in CTL. Recently, CTL was generalised by Alur, Henzinger, and Kupferman in a logic known as Alternating-time Temporal Logic (ATL). The key insight (...)
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  17. Wiebe van der Hoek & Michael Wooldridge (2003). Preface. Studia Logica 75 (1):3-5.
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  18. Wiebe van der Hoek & Elias Thijsse (2002). A General Approach to Multi-Agent Minimal Knowledge: With Tools and Samples. Studia Logica 72 (1):61-84.
    We extend our general approach to characterizing information to multi-agent systems. In particular, we provide a formal description of an agent''s knowledge containing exactly the information conveyed by some (honest) formula . Only knowing is important for dynamic agent systems in two ways. First of all, one wants to compare different states of knowledge of an agent and, secondly, for agent a''s decisions, it may be relevant that (he knows that) agent b does not know more than . There are (...)
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  19. Wiebe van der Hoek & Cees Witteveen (2002). Note by the Guest Editors. Studia Logica 70 (1):3-4.
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  20. Wiebe van der Hoek (2000). Nonmonotonic Reasoning, Grigoris Antoniou. Journal of Logic, Language and Information 9 (1):125-128.
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  21. Wiebe van der Hoek (2000). Review: Donald Nute, Defeasible Deontic Logic. [REVIEW] Bulletin of Symbolic Logic 6 (1):89-94.
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  22. Wiebe van der Hoek, Bernd van Linder & John-Jules Meyer (2000). On Agents That Have the Ability to Choose. Studia Logica 66 (1):79-119.
    We demonstrate ways to incorporate nondeterminism in a system designed to formalize the reasoning of agents concerning their abilities and the results of the actions that they may perform. We distinguish between two kinds of nondeterministic choice operators: one that expresses an internal choice, in which the agent decides what action to take, and one that expresses an external choice, which cannot be influenced by the agent. The presence of abilities in our system is the reason why the usual approaches (...)
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  23. Wiebe van der Hoek (1998). Logic for Applications, Anil Nerode and Richard A. Shore. Journal of Logic, Language and Information 7 (2):228-229.
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  24. Wiebe van der Hoek, John-Jules Meyer & Jan Treur (1998). Temporalizing Epistemic Default Logic. Journal of Logic, Language and Information 7 (3):341-367.
    We present an epistemic default logic, based on the metaphore of a meta-level architecture. Upward reflection is formalized by a nonmonotonic entailment relation, based on the objective facts that are either known or unknown at the object level. Then, the meta (monotonic) reasoning process generates a number of default-beliefs of object-level formulas. We extend this framework by proposing a mechanism to reflect these defaults down. Such a reflection is seen as essentially having a temporal flavour: defaults derived at the meta-level (...)
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  25. Bernd van Linder, Wiebe van der Hoek & J. -J. Ch Meyer (1997). Seeing is Believing. Journal of Logic, Language and Information 6 (1):33-61.
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  26. Wiebe van der Hoek, Jan Jaspars & Elias Thijsse (1996). Honesty in Partial Logic. Studia Logica 56 (3):323-360.
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  27. Wiebe Van Der Hoek & Maarten De Rijke (1993). Generalized Quantifiers and Modal Logic. Journal of Logic, Language and Information 2 (1):19-58.
    We study several modal languages in which some (sets of) generalized quantifiers can be represented; the main language we consider is suitable for defining any first order definable quantifier, but we also consider a sublanguage thereof, as well as a language for dealing with the modal counterparts of some higher order quantifiers. These languages are studied both from a modal logic perspective and from a quantifier perspective. Thus the issues addressed include normal forms, expressive power, completeness both of modal systems (...)
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  28. Wiebe Van der Hoek (1992). On the Semantics of Graded Modalities. Journal of Applied Non-Classical Logics 2 (1):81-123.
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