Results for 'van Benthem Johan'

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  1.  27
    Logical Constants Across Varying Types.Johan van Benthem - 1989 - Notre Dame Journal of Formal Logic 30 (3):315-342.
  2.  29
    A Bimodal Perspective on Possibility Semantics.Johan van Benthem, Nick Bezhanishvili & Wesley H. Holliday - 2017 - Journal of Logic and Computation 27 (5):1353–1389.
    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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  3.  71
    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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  4.  21
    Generalized Quantifiers in Natural Language.Johan Van Benthem & Alice Ter Meulen (eds.) - 1984 - Foris Publications.
    REFERENCES Barwise, J. & R. Cooper (1981) — 'Generalized Quantifiers and Natural Language', Linguistics and Philosophy 4:2159-219. Van Benthem, J. (1983a) — ' Five Easy Pieces', in Ter Meulen (ed.), 1-17. Van Benthem, J. (1983b) ...
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  5.  34
    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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  6. Modal Logic.Johan van Benthem - 2015 - Internet Encyclopedia of Philosophy.
    Modal Logic Modal notions go beyond the merely true or false by embedding what we say or think in a larger conceptual space referring to what might be or might have been, should be or should have been, or can still come to be. Modal expressions occur in a remarkably wide … Continue reading Modal Logic →.
     
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  7. Modal Languages and Bounded Fragments of Predicate Logic.Hajnal Andréka, István Németi & Johan van Benthem - 1998 - Journal of Philosophical Logic 27 (3):217 - 274.
    What precisely are fragments of classical first-order logic showing “modal” behaviour? Perhaps the most influential answer is that of Gabbay 1981, which identifies them with so-called “finite-variable fragments”, using only some fixed finite number of variables (free or bound). This view-point has been endorsed by many authors (cf. van Benthem 1991). We will investigate these fragments, and find that, illuminating and interesting though they are, they lack the required nice behaviour in our sense. (Several new negative results support this (...)
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  8. Dynamic Update with Probabilities.Johan van Benthem, Jelle Gerbrandy & Barteld Kooi - 2009 - Studia Logica 93 (1):67 - 96.
    Current dynamic-epistemic logics model different types of information change in multi-agent scenarios. We generalize these logics to a probabilistic setting, obtaining a calculus for multi-agent update with three natural slots: prior probability on states, occurrence probabilities in the relevant process taking place, and observation probabilities of events. To match this update mechanism, we present a complete dynamic logic of information change with a probabilistic character. The completeness proof follows a compositional methodology that applies to a much larger class of dynamic-probabilistic (...)
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  9.  22
    Logical Dynamics of Information and Interaction.Johan van Benthem - 2011 - Cambridge University Press.
    This book develops a view of logic as a theory of information-driven agency and intelligent interaction between many agents - with conversation, argumentation and games as guiding examples. It provides one uniform account of dynamic logics for acts of inference, observation, questions and communication, that can handle both update of knowledge and revision of beliefs. It then extends the dynamic style of analysis to include changing preferences and goals, temporal processes, group action and strategic interaction in games. Throughout, the book (...)
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  10.  6
    A Companion to Modal Logic.Johan van Benthem - 1986 - Journal of Symbolic Logic 51 (3):824-826.
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  11.  81
    Determiners and Logic.Johan van Benthem - 1983 - Linguistics and Philosophy 6 (4):447-478.
  12.  10
    Notes on Modal Definability.Johan van Benthem - 1988 - Notre Dame Journal of Formal Logic 30 (1):20-35.
  13.  35
    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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  14. 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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  15.  3
    Modal Logic for Open Minds -.Johan van Benthem - 2010 - Center for the Study of Language and Inf.
    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 (...)
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  16.  71
    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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  17. 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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  18. 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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  19. '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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  20.  63
    Merging Frameworks for Interaction.Johan van Benthem, Jelle Gerbrandy, Tomohiro Hoshi & Eric Pacuit - 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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  21.  27
    Exploring Logical Dynamics.Johan van Benthem - 2001 - Studia Logica 67 (1):111-114.
  22.  85
    Handbook of Modal Logic.Patrick Blackburn, Johan van Benthem & Frank Wolter (eds.) - 2006 - 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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  23.  94
    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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  24.  79
    Dynamic Logics of Evidence-Based Beliefs.Johan van Benthem & Eric Pacuit - 2011 - Studia Logica 99 (1-3):61-92.
    This paper adds evidence structure to standard models of belief, in the form of families of sets of worlds. We show how these more fine-grained models support natural actions of “evidence management”, ranging from update with external new information to internal rearrangement. We show how this perspective leads to new richer languages for existing neighborhood semantics for modal logic. Our main results are relative completeness theorems for the resulting dynamic logic of evidence.
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  25.  15
    Language in Action.Johan Van Benthem - 1991 - Journal of Philosophical Logic 20 (3):225-263.
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  26.  21
    A ModalWalk Through Space.Marco Aiello & Johan van Benthem - 2002 - Journal of Applied Non-Classical Logics 12 (3-4):319-363.
    We investigate the major mathematical theories of space from a modal standpoint: topology, affine geometry, metric geometry, and vector algebra. This allows us to see new fine-structure in spatial patterns which suggests analogies across these mathematical theories in terms of modal, temporal, and conditional logics. Throughout the modal walk through space, expressive power is analyzed in terms of language design, bisimulations, and correspondence phenomena. The result is both unification across the areas visited, and the uncovering of interesting new questions.
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  27.  4
    On When a Semantics is Not a Semantics: Some Reasons for Disliking the Routley-Meyer Semantics for Relevance Logic.Johan van Benthem - 1984 - Journal of Symbolic Logic 49 (3):994-995.
  28.  47
    On A New Semantics for First-Order Predicate Logic.István Németi, Johan van Benthem & Hajnal Andréka - 2017 - Journal of Philosophical Logic 46 (3):259-267.
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  29. 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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  30.  49
    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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  31.  22
    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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  32.  61
    Questions About Quantifiers.Johan van Benthem - 1984 - Journal of Symbolic Logic 49 (2):443-466.
  33.  81
    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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  34.  12
    Tense Logic and Time.Johan van Benthem - 1984 - Notre Dame Journal of Formal Logic 25 (1):1-16.
  35. 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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  36. Epistemic Logic and Epistemology: The State of Their Affairs.Johan van Benthem - 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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  37. 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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  38.  94
    The Dynamics of Awareness.Fernando R. Velázquez-Quesada & Johan van Benthem - 2010 - Synthese 177 (S1):5 - 27.
    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 hence (...)
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  39.  83
    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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  40.  82
    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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  41. The Stories of Logic and Information.Johan van Benthem, Maricarmen Martinez, David Israel & John Perry - unknown
    Information is a notion of wide use and great intuitive appeal, and hence, not surprisingly, different formal paradigms claim part of it, from Shannon channel theory to Kolmogorov complexity. Information is also a widely used term in logic, but a similar diversity repeats itself: there are several competing logical accounts of this notion, ranging from semantic to syntactic. In this chapter, we will discuss three major logical accounts of information.
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  42.  26
    Interpolation, Preservation, and Pebble Games.Jon Barwise & Johan van Benthem - 1999 - Journal of Symbolic Logic 64 (2):881-903.
    Preservation and interpolation results are obtained for L ∞ω and sublogics $\mathscr{L} \subseteq L_{\infty\omega}$ such that equivalence in L can be characterized by suitable back-and-forth conditions on sets of partial isomorphisms.
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  43.  14
    Polyadic Quantifiers.Johan Van Benthem - 1989 - Linguistics and Philosophy 12 (4):437-464.
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  44.  65
    Modal Logic: A Semantic Perspective.Patrick Blackburn & Johan van Benthem - 1988 - Ethics 98:501-517.
    . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2 BASIC MODAL LOGIC . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.
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  45.  20
    Instantial Neighbourhood Logic.Johan van Benthem, Nick Bezhanishvili, Sebastian Enqvist & Junhua Yu - 2017 - Review of Symbolic Logic 10 (1):116-144.
    This paper explores a new language of neighbourhood structures where existential information can be given about what kind of worlds occur in a neighbourhood of a current world. The resulting system of ‘instantial neighbourhood logic’ INL has a nontrivial mix of features from relational semantics and from neighbourhood semantics. We explore some basic model-theoretic behavior, including a matching notion of bisimulation, and give a complete axiom system for which we prove completeness by a new normal form technique. In addition, we (...)
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  46.  35
    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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  47.  49
    Logic in a Social Setting.Johan van Benthem - 2011 - Episteme 8 (3):227-247.
    Taking Backward Induction as its running example, this paper explores avenues for a logic of information-driven social action. We use recent results on limit phenomena in knowledge updating and belief revision, procedural rationality, and a ‘Theory of Play’ analyzing how games are played by different agents.
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  48.  87
    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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  49.  25
    Back and Forth Between Modal Logic and Classical Logic.Hajnal Andreka, Johan van Benthem & Istvan Nemeti - 1995 - Logic Journal of the IGPL 3 (5):685-720.
  50. 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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