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Johan van Benthem [145]Johan van Benthem [2]Johan Fak van Benthem [1]Johann van Benthem [1]
  1.  77
    Dynamic Logic for Belief Revision.Johan van Benthem - 2007 - Journal of Applied Non-Classical Logics 17 (2):129-155.
    We show how belief revision can be treated systematically in the format of dynamicepistemic logic, when operators of conditional belief are added. The core engine consists of definable update rules for changing plausibility relations between worlds, which have been proposed independently in the dynamic-epistemic literature on preference change. Our analysis yields two new types of modal result. First, we obtain complete logics for concrete mechanisms of belief revision, based on compositional reduction axioms. Next, we show how various abstract postulates for (...)
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  2.  3
    Logic in Games.Johan van Benthem - 2014 - MIT Press.
    A comprehensive examination of the interfaces of logic, computer science, and game theory, drawing on twenty years of research on logic and games.
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  3.  74
    Dynamic Logic of Preference Upgrade.Johan van Benthem & Fenrong Liu - 2007 - Journal of Applied Non-Classical Logics 17 (2):157-182.
    Statements not only update our current knowledge, but also have other dynamic effects. In particular, suggestions or commands ?upgrade' our preferences by changing the current order among worlds. We present a complete logic of knowledge update plus preference upgrade that works with dynamic-epistemic-style reduction axioms. This system can model changing obligations, conflicting commands, or ?regret'. We then show how to derive reduction axioms from arbitrary definable relation changes. This style of analysis also has a product update version with preferences between (...)
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  4.  45
    Merging Frameworks for Interaction.van Benthem Johan, Gerbrandy Jelle, Hoshi Tomohiro & Pacuit Eric - 2009 - Journal of Philosophical Logic 38 (5):491-526.
    A variety of logical frameworks have been developed to study rational agents interacting over time. This paper takes a closer look at one particular interface, between two systems that both address the dynamics of knowledge and information flow. The first is Epistemic Temporal Logic (ETL) which uses linear or branching time models with added epistemic structure induced by agents’ different capabilities for observing events. The second framework is Dynamic Epistemic Logic (DEL) that describes interactive processes in terms of epistemic event (...)
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  5.  52
    Logics of Communication and Change. van Benthem, Johan, van Eijck, Jan & Kooi, Barteld - unknown
    Current dynamic epistemic logics for analyzing effects of informational events often become cumbersome and opaque when common knowledge is added for groups of agents. Still, postconditions involving common knowledge are essential to successful multi-agent communication. We propose new systems that extend the epistemic base language with a new notion of ‘relativized common knowledge’, in such a way that the resulting full dynamic logic of information flow allows for a compositional analysis of all epistemic postconditions via perspicuous ‘reduction axioms’. We also (...)
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  6.  89
    Rational Dynamics and Epistemic Logic in Games.Johan van Benthem - unknown
    Game-theoretic solution concepts describe sets of strategy profiles that are optimal for all players in some plausible sense. Such sets are often found by recursive algorithms like iterated removal of strictly dominated strategies in strategic games, or backward induction in extensive games. Standard logical analyses of solution sets use assumptions about players in fixed epistemic models for a given game, such as mutual knowledge of rationality. In this paper, we propose a different perspective, analyzing solution algorithms as processes of learning (...)
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  7.  21
    Toward a Dynamic Logic of Questions.Johan van Benthem & Ştefan Minică - 2012 - Journal of Philosophical Logic 41 (4):633-669.
    Questions are triggers for explicit events of ‘issue management’. We give a complete logic in dynamic-epistemic style for events of raising, refining, and resolving an issue, all in the presence of information flow through observation or communication. We explore extensions of the framework to multi-agent scenarios and long-term temporal protocols. We sketch a comparison with some alternative accounts.
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  8.  65
    Handbook of Modal Logic.Patrick Blackburn, Johan van Benthem & Frank Wolter (eds.) - 2007 - Elsevier.
    The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners (...)
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  9.  37
    'One is a Lonely Number': On the Logic of Communication.Johan van Benthem - unknown
    Logic is not just about single-agent notions like reasoning, or zero-agent notions like truth, but also about communication between two or more people. What we tell and ask each other can be just as 'logical' as what we infer in Olympic solitude. We show how such interactive phenomena can be studied systematically by merging epistemic and dynamic logic.
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  10.  70
    Games in Dynamic-Epistemic Logic.Johan van Benthem - unknown
    We discuss games of both perfect and imperfect information at two levels of structural detail: players’ local actions, and their global powers for determining outcomes of the game. We propose matching logical languages for both. In particular, at the ‘action level’, imperfect information games naturally model a combined ‘dynamic-epistemic language’ – and we find correspondences between special axioms and particular modes of playing games with their information dynamics. At the ‘outcome level’, we present suitable notions of game equivalence, plus some (...)
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  11.  7
    Exploring Logical Dynamics.Johan van Benthem - 2001 - Studia Logica 67 (1):111-114.
  12.  36
    Preference Logic, Conditionals and Solution Concepts in Games.Johan van Benthem - unknown
    Preference is a basic notion in human behaviour, underlying such varied phenomena as individual rationality in the philosophy of action and game theory, obligations in deontic logic (we should aim for the best of all possible worlds), or collective decisions in social choice theory. Also, in a more abstract sense, preference orderings are used in conditional logic or non-monotonic reasoning as a way of arranging worlds into more or less plausible ones. The field of preference logic (cf. Hansson [10]) studies (...)
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  13. What One May Come to Know.van Benthem Johan - 2004 - Analysis 64 (2):95–105.
    The general verificationist thesis says that What is true can be known or formally: φ → ◊Kφ VT Fitch's argument trivializes this principle. It uses a weak modal epistemic logic to show that VT collapses truth and knowledge, by taking a clever substitution instance for φ: P ∧ ¬KP → ◊ K(P ∧ ¬KP) Then we have the following chain of three conditionals (a) ◊ K(P ∧ ¬KP) → ◊ (KP ∧ K¬KP) in the minimal modal logic for the knowledge (...)
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  14.  16
    Dynamic Logics of Evidence-Based Beliefs.Johan van Benthem & Eric Pacuit - 2011 - Studia Logica 99 (1-3):61-92.
  15.  31
    Merging Observation and Access in Dynamic Logic.Johan van Benthem - unknown
    Rational agents base their actions on information from observation, inference, introspection, or other sources. But this information comes in different kinds, and it is usually handled by different logical mechanisms. We discuss how to integrate external ‘updating information’ and internal ‘elucidating information’ into one system of dynamic epistemic logic, by distinguishing two basic informational actions: ‘bare seeing’ versus ‘conscious realization’.
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  16.  28
    Modal Frame Correspondences and Fixed-Points.Van Benthem Johan - 2006 - Studia Logica 83 (1-3):133-155.
    Taking Löb's Axiom in modal provability logic as a running thread, we discuss some general methods for extending modal frame correspondences, mainly by adding fixed-point operators to modal languages as well as their correspondence languages. Our suggestions are backed up by some new results – while we also refer to relevant work by earlier authors. But our main aim is advertizing the perspective, showing how modal languages with fixed-point operators are a natural medium to work with.
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  17.  9
    Question–Answer Games.Thomas Ågotnes, Johan van Benthem, Hans van Ditmarsch & Stefan Minica - 2011 - Journal of Applied Non-Classical Logics 21 (3-4):265-288.
    We propose strategic games wherein the strategies consist of players asking each other questions and answering those questions. We study simplifications of such games wherein two players simultaneously ask each other a question that the opponent is then obliged to answer. The motivation for our research is to model conversation including the dynamics of questions and answers, to provide new links between game theory and dynamic logics of information, and to exploit the dynamic/strategic structure that, we think, lies implicitly inside (...)
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  18.  48
    Logic and Reasoning: Do the Facts Matter?Johan van Benthem - 2008 - Studia Logica 88 (1):67-84.
    Modern logic is undergoing a cognitive turn, side-stepping Frege’s ‘antipsychologism’. Collaborations between logicians and colleagues in more empirical fields are growing, especially in research on reasoning and information update by intelligent agents. We place this border-crossing research in the context of long-standing contacts between logic and empirical facts, since pure normativity has never been a plausible stance. We also discuss what the fall of Frege’s Wall means for a new agenda of logic as a theory of rational agency, and what (...)
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  19. Handbook of Philosophy of Information.Pieter Adriaans & Johan van Benthem - 2008 - Elsevier.
    Information is a recognized fundamental notion across the sciences and humanities, which is crucial to understanding physical computation, communication, and human cognition. The Philosophy of Information brings together the most important perspectives on information. It includes major technical approaches, while also setting out the historical backgrounds of information as well as its contemporary role in many academic fields. Also, special unifying topics are high-lighted that play across many fields, while we also aim at identifying relevant themes for philosophical reflection. There (...)
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  20.  32
    The Logic of Empirical Theories Revisited.Johan van Benthem - 2012 - Synthese 186 (3):775-792.
    Logic and philosophy of science share a long history, though contacts have gone through ups and downs. This paper is a brief survey of some major themes in logical studies of empirical theories, including links to computer science and current studies of rational agency. The survey has no new results: we just try to make some things into common knowledge.
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  21.  53
    The Geometry of Knowledge.Johan van Benthem & Darko Sarenac - unknown
    The most widely used attractive logical account of knowledge uses standard epistemic models, i.e., graphs whose edges are indistinguishability relations for agents. In this paper, we discuss more general topological models for a multi-agent epistemic language, whose main uses so far have been in reasoning about space. We show that this more geometrical perspective affords greater powers of distinction in the study of common knowledge, defining new collective agents, and merging information for groups of agents.
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  22. Epistemic Logic and Epistemology: The State of Their Affairs.van Benthem Johan - 2006 - Philosophical Studies 128 (1):49 - 76.
    Epistemology and epistemic logic At first sight, the modern agenda of epistemology has little to do with logic. Topics include different definitions of knowledge, its basic formal properties, debates between externalist and internalist positions, and above all: perennial encounters with sceptics lurking behind every street corner, especially in the US. The entry 'Epistemology' in the Routledge Encyclopedia of Philosophy (Klein 1993) and the anthology (Kim and Sosa 2000) give an up-to-date impression of the field. Now, epistemic logic started as a (...)
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  23.  5
    Logical Dynamics of Information and Evaluation.Johan Van Benthem - unknown
    SOCREAL 2010: 2nd International Workshop on Philosophy and Ethics of Social Reality. Sapporo, Japan, 2010-03-27/28. Keynote Lecture 1. Joining Information and Evaluation: a dynamic logical perspective.
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  24.  34
    Inference, Promotion, and the Dynamics of Awareness.Johan van Benthem - unknown
    Classical epistemic logic describes implicit knowledge of agents about facts and knowledge of other agents, based on semantic information. The latter is produced by acts of observation or communication, that are described well by dynamic epistemic logics. What these logics do not describe, however, is how significant information is also produced by acts of inference – and key axioms of the system merely postulate “deductive closure”. In this paper, we take the view that all information is produced by acts, and (...)
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  25.  7
    The Range of Modal Logic.Johan van Benthem - 2012 - Journal of Applied Non-Classical Logics 9 (2-3):407-442.
  26.  2
    Language in Action.Johan Van Benthem - 1991 - Journal of Philosophical Logic 20 (3):225-263.
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  27.  18
    Evidence and Plausibility in Neighborhood Structures.Johan van Benthem, David Fernández-Duque & Eric Pacuit - 2014 - Annals of Pure and Applied Logic 165 (1):106-133.
    The intuitive notion of evidence has both semantic and syntactic features. In this paper, we develop an evidence logic for epistemic agents faced with possibly contradictory evidence from different sources. The logic is based on a neighborhood semantics, where a neighborhood N indicates that the agent has reason to believe that the true state of the world lies in N. Further notions of relative plausibility between worlds and beliefs based on the latter ordering are then defined in terms of this (...)
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  28. Modal Logic for Open Minds.Johan van Benthem - 2010 - Center for the Study of Language and Information.
    In _Modal Logic for Open Minds,_ Johan van Benthem provides an up-to-date introduction to the field of modal logic, outlining its major ideas and exploring the numerous ways in which various academic fields have adopted it. Van Benthem begins with the basic theories of modal logic, semantics, bisimulation, and axiomatics, and also covers more advanced topics, such as expressive power and computational complexity. The book then moves to a wide range of applications, including new developments in information flow, intelligent agency, (...)
     
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  29.  43
    Introduction.Johan van Benthem, Helen Hodges & Wilfrid Hodges - 2007 - Topoi 26 (1):1-2.
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  30.  28
    Logic and Philosophy, a Sea of Stories.Johan van Benthem - 2015 - Tsinghua Studies in Western Philosophy 1 (1):124-153.
    The interface of logic and philosophy is diverse, and has always been so. Understanding the interplay raises issues on which some philosophers have strong a priori views. My own preference as a working logician is to proceed by actual history of ideas, something still largely to be written for modern logic. I shall present a few lines connecting logic and philosophy around the theme of implication and consequence, and show how rich the agenda is as it keeps evolving with contributions (...)
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  31.  7
    Minimal Predicates, Fixed-Points, and Definability.Johan van Benthem - 2005 - Journal of Symbolic Logic 70 (3):696-712.
    Minimal predicates P satisfying a given first-order description φ(P) occur widely in mathematical logic and computer science. We give an explicit first-order syntax for special first-order ‘PIA conditions’ φ(P) which guarantees unique existence of such minimal predicates. Our main technical result is a preservation theorem showing PIA-conditions to be expressively complete for all those first-order formulas that are preserved under a natural model-theoretic operation of ‘predicate intersection’. Next, we show how iterated predicate minimization on PIA-conditions yields a language MIN(FO) equal (...)
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  32. Open Problems in Logic and Games.Johan van Benthem - unknown
    Dov Gabbay is a prolific logician just by himself. But beyond that, he is quite good at making other people investigate the many further things he cares about. As a result, King's College London has become a powerful attractor in our field worldwide. Thus, it is a great pleasure to be an organizer for one of its flagship events: the Augustus de Morgan Workshop of 2005. Benedikt Loewe and I proposed the topic of 'interactive logic' for this occasion, with an (...)
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  33.  29
    Euclidean Hierarchy in Modal Logic.van Benthem Johan, Bezhanishvili Guram & Gehrke Mai - 2003 - Studia Logica 75 (3):327-344.
    For a Euclidean space , let L n denote the modal logic of chequered subsets of . For every n 1, we characterize L n using the more familiar Kripke semantics, thus implying that each L n is a tabular logic over the well-known modal system Grz of Grzegorczyk. We show that the logics L n form a decreasing chain converging to the logic L of chequered subsets of . As a result, we obtain that L is also a logic (...)
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  34.  39
    Questions About Quantifiers.van Benthem Johan - 1984 - Journal of Symbolic Logic 49 (2):443-466.
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  35.  45
    Conditional Probability Meets Update Logic.Johan van Benthem - 2003 - Journal of Logic, Language and Information 12 (4):409-421.
    Dynamic update of information states is a new paradigm in logicalsemantics. But such updates are also a traditional hallmark ofprobabilistic reasoning. This note brings the two perspectives togetherin an update mechanism for probabilities which modifies state spaces.
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  36.  56
    The Many Faces of Interpolation.van Benthem Johan - 2008 - Synthese 164 (3):451-460.
    We present a number of, somewhat unusual, ways of describing what Craig’s interpolation theorem achieves, and use them to identify some open problems and further directions.
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  37.  11
    Reduction Axioms for Epistemic Actions.Johan van Benthem & Barteld Kooi - unknown
    Current dynamic epistemic logics often become cumbersome and opaque when common knowledge is added. In this paper we propose new versions that extend the underlying static epistemic language in such a way that dynamic completeness proofs can be obtained by perspicuous reduction axioms.
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  38.  4
    A Bimodal Perspective on Possibility Semantics.Johan van Benthem, Wesley H. Holliday & Nick Bezhanishvili - forthcoming - Journal of Logic and Computation.
    In this article, we develop a bimodal perspective on possibility semantics, a framework allowing partiality of states that provides an alternative modelling for classical propositional and modal logics. In particular, we define a full and faithful translation of the basic modal logic K over possibility models into a bimodal logic of partial functions over partial orders, and we show how to modulate this analysis by varying across logics and model classes that have independent topological motivations. This relates the two realms (...)
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  39.  14
    Logical Dynamics Meets Logical Pluralism?Johan van Benthem - 2008 - Australasian Journal of Logic 6 (7):182-209.
    Where is logic heading today? There is a general feeling that the discipline is broadening its scope and agenda beyond classical foundational issues, and maybe even a concern that, like Stephen Leacock’s famous horseman, it is ‘riding off madly in all directions’. So, what is the resultant vector? There seem to be two broad answers in circulation today. One is logical pluralism, locating the new scope of logic in charting a wide variety of reasoning styles, often marked by non-classical structural (...)
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  40.  38
    Toward a Theory of Play: A Logical Perspective on Games and Interaction.Johan van Benthem & Eric Pacuit - unknown
    The combination of logic and game theory provides a fine-grained perspective on information and interaction dynamics, a Theory of Play. In this paper we lay down the main components of such a theory, drawing on recent advances in the logical dynamics of actions, preferences, and information. We then show how this fine-grained perspective has already shed new light on the long-term dynamics of information exchange, as well as on the much-discussed question of extensive game rationality.
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  41.  14
    Logical Constants Across Varying Types.Johan van Benthem - 1989 - Notre Dame Journal of Formal Logic 30 (3):315-342.
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  42.  28
    Multimo Dal Logics of Products of Topologies.Johan van Benthem, Guram Bezhanishvili, Balder ten Cate & Darko Sarenac - 2006 - Studia Logica 84 (3):369-392.
    We introduce the horizontal and vertical topologies on the product of topological spaces, and study their relationship with the standard product topology. We show that the modal logic of products of topological spaces with horizontal and vertical topologies is the fusion ${\bf S4}\oplus {\bf S4}$ . We axiomatize the modal logic of products of spaces with horizontal, vertical, and standard product topologies. We prove that both of these logics are complete for the product of rational numbers ${\Bbb Q}\times {\Bbb Q}$ (...)
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  43.  6
    A ModalWalk Through Space.Marco Aiello & Johan van Benthem - 2002 - Journal of Applied Non-Classical Logics 12 (3-4):319-363.
  44. Reduction Axioms for Epistemic Actions. Kooi, Barteld & van Benthem, Johan - unknown
    Current dynamic epistemic logics often become cumbersome and opaque when common knowledge is added. In this paper we propose new versions that extend the underlying static epistemic language in such a way that dynamic completeness proofs can be obtained by perspicuous reduction axioms.
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  45.  24
    For Better or for Worse: Dynamic Logics of Preference.Johan van Benthem - unknown
    In the last few years, preference logic and in particular, the dynamic logic of preference change, has suddenly become a live topic in my Amsterdam and Stanford environments. At the request of the editors, this article explains how this interest came about, and what is happening. I mainly present a story around some recent dissertations and supporting papers, which are found in the references. There is no pretense at complete coverage of preference logic (for that, see Hanson 2001) or even (...)
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  46. Categorial Grammar.Wojciech Buszkowski, Witold Marciszewski & Johan van Benthem - 1991 - Studia Logica 50 (1):171-172.
     
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  47.  59
    Extensive Games as Process Models.Johan van Benthem - 2002 - Journal of Logic, Language and Information 11 (3):289-313.
    We analyze extensive games as interactive process models, using modallanguages plus matching notions of bisimulation as varieties of gameequivalences. Our technical results show how to fit existing modalnotions into this new setting.
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  48. Handbook of Spatial Logics.Marco Aiello, Ian E. Pratt-Hartmann & Johan van Benthem (eds.) - 2007 - Springer Verlag.
  49.  5
    Modal Logic, Transition Systems and Processes.Johan van Benthem, Jan van Eijck & Vera Stebletsova - unknown
    Transition systems can be viewed either as process diagrams or as Kripke structures. The rst perspective is that of process theory, the second that of modal logic. This paper shows how various formalisms of modal logic can be brought to bear on processes. Notions of bisimulation can not only be motivated by operations on transition systems, but they can also be suggested by investigations of modal formalisms. To show that the equational view of processes from process algebra is closely related (...)
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  50.  28
    Logic and the Dynamics of Information.Johan van Benthem - 2003 - Minds and Machines 13 (4):503-519.
    We discuss how issues of information and computation interact with logic today, and what might be a natural extended agenda of investigation.
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