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Dov M. Gabbay [123]Dov Gabbay [68]D. M. Gabbay [42]D. Gabbay [39]
D. . M. Gabbay [2]Dovm Gabbay [2]Do V. M. Gabbay [1]
See also
Dov Gabbay
Hebrew University of Jerusalem
  1.  58
    Many-Dimensional Modal Logics: Theory and Applications.Dov M. Gabbay (ed.) - 2003 - Elsevier North Holland.
    Modal logics, originally conceived in philosophy, have recently found many applications in computer science, artificial intelligence, the foundations of mathematics, linguistics and other disciplines. Celebrated for their good computational behaviour, modal logics are used as effective formalisms for talking about time, space, knowledge, beliefs, actions, obligations, provability, etc. However, the nice computational properties can drastically change if we combine some of these formalisms into a many-dimensional system, say, to reason about knowledge bases developing in time or moving objects. To study (...)
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  2.  50
    Labelled Deductive Systems.Dov M. Gabbay - 1996 - Oxford University Press.
    This important book provides a new unifying methodology for logic. It replaces the traditional view of logic as manipulating sets of formulas with the notion of structured families of labelled formulas with algebraic structures. This approach has far reaching consequences for the methodology of logics and their semantics, and the book studies the main features of such systems along with their applications. It will interest logicians, computer scientists, philosophers and linguists.
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  3. A Logical Account of Formal Argumentation.Martin W. A. Caminada & Dov M. Gabbay - 2009 - Studia Logica 93 (2-3):109-145.
    In the current paper, we re-examine how abstract argumentation can be formulated in terms of labellings, and how the resulting theory can be applied in the field of modal logic. In particular, we are able to express the extensions of an argumentation framework as models of a set of modal logic formulas that represents the argumentation framework. Using this approach, it becomes possible to define the grounded extension in terms of modal logic entailment.
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  4.  2
    Temporal Logic: Mathematical Foundations and Computational Aspects.Dov M. Gabbay, Ian Hodkinson & Mark Reynolds - 1994 - Oxford University Press on Demand.
    This long awaited book gives a thorough account of the mathematical foundations of Temporal Logic, one of the most important areas of logic in computer science.The book, which consists of fifteen chapters, moves on from giving a solid introduction in semantical and axiomatic approaches to temporal logic to covering the central topics of predicate temporal logic, meta-languages, general theories of axiomatization, many dimensional systems, propositionalquantifiers, expressive power, Henkin dimension, temporalization of other logics, and decidability results.Much of the research presented here (...)
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  5. Many-Dimensional Modal Logics: Theory and Applications.D. M. Gabbay, A. Kurucz, F. Wolter & M. Zakharyaschev - 2005 - Studia Logica 81 (1):147-150.
     
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  6.  20
    Semantical Investigations in Heyting's Intuitionistic Logic.Dov M. Gabbay - 1986 - Journal of Symbolic Logic 51 (3):824-824.
  7.  21
    Products of Modal Logics, Part 1.D. Gabbay & V. Shehtman - 1998 - Logic Journal of the IGPL 6 (1):73-146.
    The paper studies many-dimensional modal logics corresponding to products of Kripke frames. It proves results on axiomatisability, the finite model property and decidability for product logics, by applying a rather elaborated modal logic technique: p-morphisms, the finite depth method, normal forms, filtrations. Applications to first order predicate logics are considered too. The introduction and the conclusion contain a discussion of many related results and open problems in the area.
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  8.  65
    An Irreflexivity Lemma with Applications to Axiomatizations of Conditions on Tense Frames.Dov M. Gabbay - 1981 - In U. Mönnich (ed.), Aspects of Philosophical Logic. Dordrecht. pp. 67--89.
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  9.  84
    Adding a Temporal Dimension to a Logic System.Marcelo Finger & Dov M. Gabbay - 1992 - Journal of Logic, Language and Information 1 (3):203-233.
    We introduce a methodology whereby an arbitrary logic system L can be enriched with temporal features to create a new system T(L). The new system is constructed by combining L with a pure propositional temporal logic T (such as linear temporal logic with Since and Until) in a special way. We refer to this method as adding a temporal dimension to L or just temporalising L. We show that the logic system T(L) preserves several properties of the original temporal logic (...)
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  10.  47
    Fibring Argumentation Frames.Dov M. Gabbay - 2009 - Studia Logica 93 (2):231-295.
    This paper is part of a research program centered around argumentation networks and offering several research directions for argumentation networks, with a view of using such networks for integrating logics and network reasoning. In Section 1 we introduce our program manifesto. In Section 2 we motivate and show how to substitute one argumentation network as a node in another argumentation network. Substitution is a purely logical operation and doing it for networks, besides developing their theory further, also helps us see (...)
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  11. Advice on Abductive Logic.Dov Gabbay & John Woods - 2006 - Logic Journal of the IGPL 14 (2):189-219.
    One of our purposes here is to expose something of the elementary logical structure of abductive reasoning, and to do so in a way that helps orient theorists to the various tasks that a logic of abduction should concern itself with. We are mindful of criticisms that have been levelled against the very idea of a logic of abduction; so we think it prudent to proceed with a certain diffidence. That our own account of abduction is itself abductive is methodological (...)
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  12.  57
    Handbook of Philosophical Logic.Dov M. Gabbay & Franz Guenthner (eds.) - 1989 - Kluwer Academic Publishers.
    The first edition of the Handbook of Philosophical Logic (four volumes) was published in the period 1983-1989 and has proven to be an invaluable reference work ...
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  13. A Sequence of Decidable Finitely Axiomatizable Intermediate Logics with the Disjunction Property.D. M. Gabbay & D. H. J. De Jongh - 1974 - Journal of Symbolic Logic 39 (1):67-78.
  14.  26
    Elementary Predicate Logic.Wilfrid Hodges, D. Gabbay & F. Guenthner - 1989 - Journal of Symbolic Logic 54 (3):1089-1090.
  15.  49
    Logical Modes of Attack in Argumentation Networks.Dov M. Gabbay & Artur S. D’Avila Garcez - 2009 - Studia Logica 93 (2-3):199-230.
    This paper studies methodologically robust options for giving logical contents to nodes in abstract argumentation networks. It defines a variety of notions of attack in terms of the logical contents of the nodes in a network. General properties of logics are refined both in the object level and in the metalevel to suit the needs of the application. The network-based system improves upon some of the attempts in the literature to define attacks in terms of defeasible proofs, the so-called rule-based (...)
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  16.  28
    Equational Approach to Argumentation Networks.D. M. Gabbay - 2012 - Argument and Computation 3 (2-3):87 - 142.
    This paper provides equational semantics for Dung's argumentation networks. The network nodes get numerical values in [0,1], and are supposed to satisfy certain equations. The solutions to these equations correspond to the ?extensions? of the network. This approach is very general and includes the Caminada labelling as a special case, as well as many other so-called network extensions, support systems, higher level attacks, Boolean networks, dependence on time, and much more. The equational approach has its conceptual roots in the nineteenth (...)
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  17. Analysis of the Talmudic Argumentum A Fortiori Inference Rule Using Matrix Abduction.M. Abraham, Dov M. Gabbay & U. Schild - 2009 - Studia Logica 92 (3):281-364.
    We motivate and introduce a new method of abduction, Matrix Abduction, and apply it to modelling the use of non-deductive inferences in the Talmud such as Analogy and the rule of Argumentum A Fortiori. Given a matrix with entries in {0,1}, we allow for one or more blank squares in the matrix, say $a_{i,j} =?.$ The method allows us to decide whether to declare $a_{i,j} = 0$ or $a_{i,j} = 1$ or $a_{i,j} =?$ undecided. This algorithmic method is then applied (...)
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  18.  22
    Fibring Logics.Dov M. Gabbay - 1999 - Clarendon Press.
    Modern applications of logic in mathematics, computer science, and linguistics use combined systems of different types of logic working together. This book develops a method for combining--or fibring--systems by breaking them into simple components which can be manipulated easily and recombined.
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  19.  42
    Complete Extensions in Argumentation Coincide with 3-Valued Stable Models in Logic Programming.Yining Wu, Martin Caminada & Dov M. Gabbay - 2009 - Studia Logica 93 (2):383-403.
    In this paper, we prove the correspondence between complete extensions in abstract argumentation and 3-valued stable models in logic programming. This result is in line with earlier work of [6] that identified the correspondence between the grounded extension in abstract argumentation and the well-founded model in logic programming, as well as between the stable extensions in abstract argumentation and the stable models in logic programming.
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  20.  67
    Semantics for Higher Level Attacks in Extended Argumentation Frames Part 1: Overview.Dov M. Gabbay - 2009 - Studia Logica 93 (2-3):357 - 381.
    In 2005 the author introduced networks which allow attacks on attacks of any level. So if a → b reads a attacks 6, then this attack can itself be attacked by another node c. This attack itself can attack another node d. This situation can be iterated to any level with attacks and nodes attacking other attacks and other nodes. In this paper we provide semantics (of extensions) to such networks. We offer three different approaches to obtaining semantics. 1. The (...)
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  21.  64
    Obligations and Prohibitions in Talmudic Deontic Logic.M. Abraham, D. M. Gabbay & U. Schild - 2011 - Artificial Intelligence and Law 19 (2-3):117-148.
    This paper examines the deontic logic of the Talmud. We shall find, by looking at examples, that at first approximation we need deontic logic with several connectives: O T A Talmudic obligation F T A Talmudic prohibition F D A Standard deontic prohibition O D A Standard deontic obligation. In classical logic one would have expected that deontic obligation O D is definable by $O_DA \equiv F_D\neg A$ and that O T and F T are connected by $O_TA \equiv F_T\neg (...)
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  22.  9
    A Sequence of Decidable Finitely Axiomatizable Intermediate Logics with the Disjunction Property.D. M. Gabbay & D. H. J. De Jongh - 1974 - Journal of Symbolic Logic 39 (1):67 - 78.
  23. Handbook of Logic in Computer Science.S. Abramsky, D. Gabbay & T. Maibaurn (eds.) - 1992 - Oxford University Press.
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  24.  13
    Investigations in Modal and Tense Logics with Application to Problems in Philosophy and Linguistics.Dov M. Gabbay - 1979 - Journal of Symbolic Logic 44 (4):656-657.
  25.  19
    The New Logic.D. Gabbay & J. Woods - 2001 - Logic Journal of the IGPL 9 (2):141-174.
    The purpose of this paper is to communicate some developments in what we call the new logic. In a nutshell the new logic is a model of the behaviour of a logical agent. By these lights, logical theory has two principal tasks. The first is an account of what a logical agent is. The second is a description of how this behaviour is to be modelled. Before getting on with these tasks we offer a disclaimer and a warning. The disclaimer (...)
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  26. Roadmap for Preferential Logics.Dov M. Gabbay & Karl Schlechta - 2009 - Journal of Applied Non-Classical Logics 19 (1):43-95.
    We give a systematic overview of semantical and logical rules in non monotonic and related logics. We show connections and sometimes subtle differences, and also compare such rules to uses of the notion of size.
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  27.  39
    Philosophy of Economics.Uskali Mäki, Dov M. Gabbay, Paul Thagard & John Woods (eds.) - 2012 - North Holland.
    This volume serves as a detailed introduction for those new to the field as well as a rich source of new insights and potential research agendas for those already engaged with the philosophy of economics.
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  28.  24
    Expressive Functional Completeness in Tense Logic (Preliminary Report).Dov M. Gabbay - 1981 - In U. Mönnich (ed.), Aspects of Philosophical Logic. Dordrecht. pp. 91--117.
  29.  53
    Resource-Origins of Nonmonotonicity.Dov Gabbay & John Woods - 2008 - Studia Logica 88 (1):85-112.
    Formal nonmonotonic systems try to model the phenomenon that common sense reasoners are able to “jump” in their reasoning from assumptions Δ to conclusions C without their being any deductive chain from Δ to C. Such jumps are done by various mechanisms which are strongly dependent on context and knowledge of how the actual world functions. Our aim is to motivate these jump rules as inference rules designed to optimise survival in an environment with scant resources of effort and time. (...)
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  30.  38
    Modal Provability Foundations for Argumentation Networks.Dov M. Gabbay - 2009 - Studia Logica 93 (2):181-198.
    Given an argumentation network we associate with it a modal formula representing the 'logical content' of the network. We show a one-to-one correspondence between all possible complete Caminada labellings of the network and all possible models of the formula.
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  31.  22
    Model Theory for Tense Logics.Dov M. Gabbay - 1975 - Annals of Mathematical Logic 8 (1):185.
  32.  40
    Handbook of the Logic of Argument and Inference: The Turn Towards the Practical.Dov M. Gabbay (ed.) - 2002 - Elsevier.
    The Handbook of the Logic of Argument and Inference is an authoritative reference work in a single volume, designed for the attention of senior undergraduates, graduate students and researchers in all the leading research areas concerned with the logic of practical argument and inference. After an introductory chapter, the role of standard logics is surveyed in two chapters. These chapters can serve as a mini-course for interested readers, in deductive and inductive logic, or as a refresher. Then follow two chapters (...)
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  33.  79
    Combining Temporal Logic Systems.Marcelo Finger & Dov Gabbay - 1996 - Notre Dame Journal of Formal Logic 37 (2):204-232.
    This paper investigates modular combinations of temporal logic systems. Four combination methods are described and studied with respect to the transfer of logical properties from the component one-dimensional temporal logics to the resulting combined two-dimensional temporal logic. Three basic logical properties are analyzed, namely soundness, completeness, and decidability. Each combination method comprises three submethods that combine the languages, the inference systems, and the semantics of two one-dimensional temporal logic systems, generating families of two-dimensional temporal languages with varying expressivity and varying (...)
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  34.  11
    Normality, Non-contamination and Logical Depth in Classical Natural Deduction.Marcello D’Agostino, Dov Gabbay & Sanjay Modgil - 2020 - Studia Logica 108 (2):291-357.
    In this paper we provide a detailed proof-theoretical analysis of a natural deduction system for classical propositional logic that represents classical proofs in a more natural way than standard Gentzen-style natural deduction, admits of a simple normalization procedure such that normal proofs enjoy the Weak Subformula Property, provides the means to prove a Non-contamination Property of normal proofs that is not satisfied by normal proofs in the Gentzen tradition and is useful for applications, especially in formal argumentation, naturally leads to (...)
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  35. Benton, RA, 527 Blackburn, P., 281 Braüner, T., 359 Brink, C., 543.S. Chopra, B. J. Copeland, E. Corazza, S. Donaho, F. Ferreira, H. Field, D. M. Gabbay, L. Goldstein, J. Heidema & M. J. Hill - 2002 - Journal of Philosophical Logic 31 (615).
  36.  69
    A General Theory of the Conditional in Terms of a Ternary Operator.Dov M. Gabbay - 1972 - Theoria 38 (3):97-104.
  37.  48
    Meta-Argumentation Modelling I: Methodology and Techniques.Guido Boella, Dov M. Gabbay, Leendert van der Torre & Serena Villata - 2009 - Studia Logica 93 (2-3):297 - 355.
    In this paper, we introduce the methodology and techniques of metaargumentation to model argumentation. The methodology of meta-argumentation instantiates Dung's abstract argumentation theory with an extended argumentation theory, and is thus based on a combination of the methodology of instantiating abstract arguments, and the methodology of extending Dung's basic argumentation frameworks with other relations among abstract arguments. The technique of meta-argumentation applies Dung's theory of abstract argumentation to itself, by instantiating Dung's abstract arguments with meta-arguments using a technique called flattening. (...)
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  38.  21
    The Talmudic Logic Project, Ongoing Since 2008.Dov M. Gabbay, Uri Schild & Esther David - 2019 - Logica Universalis 13 (4):425-442.
    We describe the state of the Talmudic Logic project as of end of 2019. The Talmud is the most comprehensive and fundamental work of Jewish religious law, employing a large number of logical components centuries ahead of their time. In many cases the basic principles are not explicitly formulated, which makes it difficult to formalize and make available to the modern student of Logic. This project on Talmudic Logic, aims to present logical analysis of Talmudic reasoning using modern logical tools. (...)
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  39.  13
    General Intensional Logic.C. Anthony Anderson, D. Gabbay & F. Guenthner - 1990 - Journal of Symbolic Logic 55 (2):892-894.
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  40.  19
    Semantics for Higher Level Attacks in Extended Argumentation Frames Part 1: Overview.Dov M. Gabbay - 2009 - Studia Logica 93 (2-3):357-381.
    In 2005 the author introduced networks which allow attacks on attacks of any level. So if a → b reads a attacks 6, then this attack can itself be attacked by another node c. This attack itself can attack another node d. This situation can be iterated to any level with attacks and nodes attacking other attacks and other nodes. In this paper we provide semantics to such networks. We offer three different approaches to obtaining semantics. 1. The translation approach (...)
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  41.  56
    What is a Logical System?Dov M. Gabbay (ed.) - 1994 - Oxford University Press.
    This superb collection of papers focuses on a fundamental question in logic and computation: What is a logical system? With contributions from leading researchers--including Ian Hacking, Robert Kowalski, Jim Lambek, Neil Tennent, Arnon Avron, L. Farinas del Cerro, Kosta Dosen, and Solomon Feferman--the book presents a wide range of views on how to answer such a question, reflecting current, mainstream approaches to logic and its applications. Written to appeal to a diverse audience of readers, What is a Logical System? will (...)
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  42.  33
    Montague Type Semantics for Modal Logics with Propositional Quantifiers.Dov M. Gabbay - 1971 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 17 (1):245-249.
  43.  24
    Applications of Trees to Intermediate Logics.Dov M. Gabbay - 1972 - Journal of Symbolic Logic 37 (1):135-138.
  44.  52
    Belief Revision in Non-Classical Logics.Dov Gabbay, Odinaldo Rodrigues & Alessandra Russo - 2008 - Review of Symbolic Logic 1 (3):267-304.
    In this article, we propose a belief revision approach for families of (non-classical) logics whose semantics are first-order axiomatisable. Given any such (non-classical) logic , the approach enables the definition of belief revision operators for , in terms of a belief revision operation satisfying the postulates for revision theory proposed by Alchourrrdenfors and Makinson (AGM revision, Alchourrukasiewicz's many-valued logic. In addition, we present a general methodology to translate algebraic logics into classical logic. For the examples provided, we analyse in what (...)
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  45.  13
    Theory of Disjunctive Attacks, Part I.D. Gabbay & M. Gabbay - 2016 - Logic Journal of the IGPL 24 (2):186-218.
  46.  35
    Fibred Semantics and the Weaving of Logics Part 1: Modal and Intuitionistic Logics.D. M. Gabbay - 1996 - Journal of Symbolic Logic 61 (4):1057-1120.
    This is Part 1 of a paper on fibred semantics and combination of logics. It aims to present a methodology for combining arbitrary logical systems L i , i ∈ I, to form a new system L I . The methodology `fibres' the semantics K i of L i into a semantics for L I , and `weaves' the proof theory (axiomatics) of L i into a proof system of L I . There are various ways of doing this, we (...)
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  47.  28
    Normative Models of Rational Agency: The Theoretical Disutility of Certain Approaches.Dov Gabbay & John Woods - 2003 - Logic Journal of the IGPL 11 (6):597-613.
    Much of cognitive science seeks to provide principled descriptions of various kinds and aspects of rational behaviour, especially in beings like us or AI simulacra of beings like us. For the most part, these investigators presuppose an unarticulated common sense appreciation of the rationality that such behaviour consists in. On those occasions when they undertake to bring the relevant norms to the surface and to give an account of that to which they owe their legitimacy, these investigators tend to favour (...)
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  48.  57
    Reactive Preferential Structures and Nonmonotonic Consequence.Dov M. Gabbay & Karl Schlechta - 2009 - Review of Symbolic Logic 2 (2):414-450.
    We introduce Information Bearing Relation Systems (IBRS) as an abstraction of many logical systems. These are networks with arrows recursively leading to other arrows etc. We then define a general semantics for IBRS, and show that a special case of IBRS generalizes in a very natural way preferential semantics and solves open representation problems for weak logical systems. This is possible, as we can the strong coherence properties of preferential structures by higher arrows, that is, arrows, which do not go (...)
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  49.  13
    The Decidability of the Kreisel-Putnam System.Dov M. Gabbay - 1970 - Journal of Symbolic Logic 35 (3):431-437.
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  50.  4
    Alternatives to Standard First-Order Semantics.Hugues Leblanc, D. Gabbay & F. Guenthner - 1989 - Journal of Symbolic Logic 54 (4):1483-1484.
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