277 found
Order:
Disambiguations
Dov M. Gabbay [130]Dov Gabbay [68]D. M. Gabbay [42]D. Gabbay [39]
DovM Gabbay [3]D. . M. Gabbay [2]Do V. M. Gabbay [1]
See also
Dov Gabbay
Hebrew University of Jerusalem
  1.  54
    Labelled Deductive Systems: Volume 1.Dov M. Gabbay - 1996 - Oxford, England: 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.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   44 citations  
  2.  67
    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 (...)
    Direct download  
     
    Export citation  
     
    Bookmark   41 citations  
  3.  17
    Temporal Logic: Mathematical Foundations and Computational Aspects.Dov M. Gabbay, Ian Hodkinson & Mark A. 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 (...)
    Direct download  
     
    Export citation  
     
    Bookmark   35 citations  
  4. 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.
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   38 citations  
  5. Many-Dimensional Modal Logics: Theory and Applications.D. M. Gabbay, A. Kurucz, F. Wolter & M. Zakharyaschev - 2005 - Studia Logica 81 (1):147-150.
     
    Export citation  
     
    Bookmark   54 citations  
  6.  22
    Semantical Investigations in Heyting's Intuitionistic Logic.Dov M. Gabbay - 1986 - Journal of Symbolic Logic 51 (3):824-824.
  7. Handbook of Philosophical Logic.D. M. Gabbay & F. Guenthner - 2007 - Bulletin of Symbolic Logic 13 (2):248-250.
     
    Export citation  
     
    Bookmark   38 citations  
  8.  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.
    Direct download  
     
    Export citation  
     
    Bookmark   53 citations  
  9.  66
    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.
    Direct download  
     
    Export citation  
     
    Bookmark   41 citations  
  10. Semantical Investigations in Heyting's Intuitionistic Logic.Dov M. Gabbay - 1981 - Dordrecht, Netherland: Reidel.
    From the point of view of non-classical logics, Heyting's implication is the smallest implication for which the deduction theorem holds. This book studies properties of logical systems having some of the classical connectives and implication in the neighbourhood of Heyt ing's implication. I have not included anything on entailment, al though it belongs to this neighbourhood, mainly because of the appearance of the Anderson-Belnap book on entailment. In the later chapters of this book, I have included material that might be (...)
    Direct download  
     
    Export citation  
     
    Bookmark   22 citations  
  11.  87
    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 (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   38 citations  
  12.  20
    Handbook of Formal Argumentation.Pietro Baroni, Dov Gabbay, Massimilino Giacomin & Leendert van der Torre (eds.) - 2018 - London, England: College Publications.
    The Handbook of Formal Argumentation is a community effort aimed at providing a comprehensive and up-to-date view of the state of the art and current trends in the lively research field of formal argumentation. The first volume of the Handbook is organised into five parts, containing nineteen chapters in all, each written by leading experts in the field. The first part provides a general and historical perspective on the field. The second part gives a comprehensive coverage of the argumentation formalisms (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  13.  59
    Handbook of Philosophical Logic.Dov M. Gabbay & Franz Guenthner (eds.) - 1983 - Dordrecht, Netherland: 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 ...
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   19 citations  
  14. 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 (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   22 citations  
  15. 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.
  16.  27
    Elementary Predicate Logic.Wilfrid Hodges, D. Gabbay & F. Guenthner - 1989 - Journal of Symbolic Logic 54 (3):1089-1090.
  17. Handbook of Logic in Artificial Intelligence and Logic Programming.Dov M. Gabbay, Christopher John Hogger & J. A. Robinson - 1993
     
    Export citation  
     
    Bookmark   17 citations  
  18.  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 (...)
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   18 citations  
  19.  12
    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 (...)
    Direct download (2 more)  
    Translate
     
     
    Export citation  
     
    Bookmark   3 citations  
  20.  52
    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 (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   16 citations  
  21.  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 (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   15 citations  
  22.  44
    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.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   15 citations  
  23. 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 (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   7 citations  
  24. Fibring Logics.Dov M. Gabbay - 2000 - Studia Logica 66 (3):440-443.
     
    Export citation  
     
    Bookmark   19 citations  
  25.  26
    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.
    Direct download  
     
    Export citation  
     
    Bookmark   11 citations  
  26.  70
    What is a Logical System?Dov M. Gabbay (ed.) - 1994 - Oxford, England: 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 (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   11 citations  
  27.  22
    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 (...)
    Direct download  
     
    Export citation  
     
    Bookmark   20 citations  
  28. 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.
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   9 citations  
  29.  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 (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   11 citations  
  30.  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.
  31.  14
    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.
  32.  67
    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 (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   8 citations  
  33. Handbook of Logic in Computer Science.S. Abramsky, D. Gabbay & T. Maibaurn (eds.) - 1992 - Oxford University Press.
    Translate
     
     
    Export citation  
     
    Bookmark   10 citations  
  34.  1
    ‎Proof Theory for Fuzzy Logics.George Metcalfe, Nicola Olivetti & Dov M. Gabbay - 2008 - Dordrecht, Netherland: Springer.
    Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas such as fuzzy control, fuzzy databases, and fuzzy mathematics. This book provides an accessible and up-to-date introduction to this fast-growing and increasingly popular area. It focuses in particular on the development and applications of "proof-theoretic" presentations of fuzzy logics; the result of more than ten years of intensive work by researchers (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   7 citations  
  35.  54
    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. (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   10 citations  
  36. What Is Negation?Dov M. Gabbay & Heinrich Wansing - 2001 - Studia Logica 69 (3):435-439.
  37.  72
    A General Theory of the Conditional in Terms of a Ternary Operator.Dov M. Gabbay - 1972 - Theoria 38 (3):97-104.
  38. Handbook of the History of Logic.Dov M. Gabbay & John Woods - 2004 - Bulletin of Symbolic Logic 10 (4):579-583.
     
    Export citation  
     
    Bookmark   14 citations  
  39.  25
    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. (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  40. Agenda Relevance - a Study in Formal Pragmatics.Dov M. Gabbay & John Woods - 2003
     
    Export citation  
     
    Bookmark   9 citations  
  41.  26
    Expressive Functional Completeness in Tense Logic (Preliminary Report).Dov M. Gabbay - 1981 - In U. Mönnich (ed.), Aspects of Philosophical Logic. Dordrecht. pp. 91--117.
  42.  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. (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   9 citations  
  43.  26
    Model Theory for Tense Logics.Dov M. Gabbay - 1975 - Annals of Mathematical Logic 8 (1):185.
  44.  82
    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 (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   13 citations  
  45.  3
    Handbook of Tableau Methods.Marcello D'Agostino, Dov M. Gabbay, Reiner Hähnle & Joachim Posegga (eds.) - 1999 - Dordrecht, Netherland: Springer.
    Recent years have been blessed with an abundance of logical systems, arising from a multitude of applications. A logic can be characterised in many different ways. Traditionally, a logic is presented via the following three components: 1. an intuitive non-formal motivation, perhaps tie it in to some application area 2. a semantical interpretation 3. a proof theoretical formulation. There are several types of proof theoretical methodologies, Hilbert style, Gentzen style, goal directed style, labelled deductive system style, and so on. The (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   9 citations  
  46.  42
    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 (...)
    Direct download  
     
    Export citation  
     
    Bookmark   9 citations  
  47.  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.
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   9 citations  
  48.  4
    On 2nd Order Intuitionistic Propositional Calculus with Full Comprehension.Dov M. Gabbay - 1974 - Archive for Mathematical Logic 16 (3-4):177-186.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark   17 citations  
  49.  13
    General Intensional Logic.C. Anthony Anderson, D. Gabbay & F. Guenthner - 1990 - Journal of Symbolic Logic 55 (2):892-894.
    Direct download  
     
    Export citation  
     
    Bookmark   17 citations  
  50. Interpolation and Definability.D. M. Gabbay & L. L. Maksimova - 2011 - In ¸ Itegabbay2011. Springer.
     
    Export citation  
     
    Bookmark   7 citations  
1 — 50 / 277