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Richard Booth [14]Richard G. Booth [1]
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Richard Booth
University of California, Berkeley
  1. The Irreducibility of Iterated to Single Revision.Jake Chandler & Richard Booth - 2017 - Journal of Philosophical Logic 46 (4):405-418.
    After a number of decades of research into the dynamics of rational belief, the belief revision theory community remains split on the appropriate handling of sequences of changes in view, the issue of so-called iterated revision. It has long been suggested that the matter is at least partly settled by facts pertaining to the results of various single revisions of one’s initial state of belief. Recent work has pushed this thesis further, offering various strong principles that ultimately result in a (...)
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  2.  46
    On Strengthening the Logic of Iterated Belief Revision: Proper Ordinal Interval Operators.Jake Chandler & Richard Booth - 2018 - In Michael Thielscher, Francesca Toni & Frank Wolter (eds.), Proceedings of the Sixteenth International Conference on Principles of Knowledge Representation and Reasoning (KR2018). Palo Alto, CA, USA: pp. 210-219.
    Darwiche and Pearl’s seminal 1997 article outlined a number of baseline principles for a logic of iterated belief revision. These principles, the DP postulates, have been supplemented in a number of alternative ways. Most suggestions have resulted in a form of ‘reductionism’ that identifies belief states with orderings of worlds. However, this position has recently been criticised as being unacceptably strong. Other proposals, such as the popular principle (P), aka ‘Independence’, characteristic of ‘admissible’ operators, remain commendably more modest. In this (...)
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  3.  25
    How to Revise a Total Preorder.Richard Booth & Thomas Meyer - 2011 - Journal of Philosophical Logic 40 (2):193 - 238.
    Most approaches to iterated belief revision are accompanied by some motivation for the use of the proposed revision operator (or family of operators), and typically encode enough information in the epistemic state of an agent for uniquely determining one-step revision. But in those approaches describing a family of operators there is usually little indication of how to proceed uniquely after the first revision step. In this paper we contribute towards addressing that deficiency by providing a formal framework which goes beyond (...)
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  4.  69
    Equilibria in Social Belief Removal.Richard Booth & Thomas Meyer - 2010 - Synthese 177 (1):97 - 123.
    In studies of multi-agent interaction, especially in game theory, the notion of equilibrium often plays a prominent role. A typical scenario for the belief merging problem is one in which several agents pool their beliefs together to form a consistent "group" picture of the world. The aim of this paper is to define and study new notions of equilibria in belief merging. To do so, we assume the agents arrive at consistency via the use of a social belief removal function, (...)
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  5.  33
    Extending the Harper Identity to Iterated Belief Change.Jake Chandler & Richard Booth - 2016 - In Proceedings of the International Joint Conference on Artificial Intelligence (IJCAI).
    The field of iterated belief change has focused mainly on revision, with the other main operator of AGM belief change theory, i.e. contraction, receiving relatively little attention. In this paper we extend the Harper Identity from single-step change to define iterated contraction in terms of iterated revision. Specifically, just as the Harper Identity provides a recipe for defining the belief set resulting from contracting A in terms of (i) the initial belief set and (ii) the belief set resulting from revision (...)
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  6.  32
    On Revising Fuzzy Belief Bases.Richard Booth & Eva Richter - 2005 - Studia Logica 80 (1):29-61.
    We look at the problem of revising fuzzy belief bases, i.e., belief base revision in which both formulas in the base as well as revision-input formulas can come attached with varying degrees. Working within a very general framework for fuzzy logic which is able to capture certain types of uncertainty calculi as well as truth-functional fuzzy logics, we show how the idea of rational change from “crisp” base revision, as embodied by the idea of partial meet (base) revision, can be (...)
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  7.  50
    Belief Liberation.Richard Booth, Samir Chopra, Aditya Ghose & Thomas Meyer - 2005 - Studia Logica 79 (1):47-72.
    We provide a formal study of belief retraction operators that do not necessarily satisfy the postulate. Our intuition is that a rational description of belief change must do justice to cases in which dropping a belief can lead to the inclusion, or ‘liberation’, of others in an agent's corpus. We provide two models of liberation via retraction operators: ρ-liberation and linear liberation. We show that the class of ρ-liberation operators is included in the class of linear ones and provide axiomatic (...)
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  8.  7
    Elementary Iterated Revision and the Levi Identity.Jake Chandler & Richard Booth - forthcoming - In Proceedings of the 7th International Conference on Logic, Rationality and Interaction (LORI 2019).
    Recent work has considered the problem of extending to the case of iterated belief change the so-called `Harper Identity' (HI), which defines single-shot contraction in terms of single-shot revision. The present paper considers the prospects of providing a similar extension of the Levi Identity (LI), in which the direction of definition runs the other way. We restrict our attention here to the three classic iterated revision operators--natural, restrained and lexicographic, for which we provide here the first collective characterisation in the (...)
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  9.  18
    The Lexicographic Closure as a Revision Process.Richard Booth - 2001 - Journal of Applied Non-Classical Logics 11 (1-2):35-58.
    The connections between nonmonotonic reasoning and belief revision are well-known. A central problem in the area of nonmonotonic reasoning is the problem of default entailment, i.e., when should an item of default information representing “if θ is true then, normally, φ is true” be said to follow from a given set of items of such information. Many answers to this question have been proposed but, surprisingly, virtually none have attempted any explicit connection to belief revision. The aim of this paper (...)
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  10.  7
    Preface.Richard Booth & Federico Cerutti - 2018 - Argument and Computation 10 (1):1-3.
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  11.  16
    PTL: A Propositional Typicality Logic.Richard Booth, Thomas Meyer & Ivan Varzinczak - 2012 - In Luis Farinas del Cerro, Andreas Herzig & Jerome Mengin (eds.), Logics in Artificial Intelligence. Springer. pp. 107--119.
  12.  18
    A General Family of Preferential Belief Removal Operators.Richard Booth, Thomas Meyer & Chattrakul Sombattheera - 2012 - Journal of Philosophical Logic 41 (4):711 - 733.
    Most belief change operators in the AGM tradition assume an underlying plausibility ordering over the possible worlds which is transitive and complete. A unifying structure for these operators, based on supplementing the plausibility ordering with a second, guiding, relation over the worlds was presented in Booth et al. (Artif Intell 174:1339-1368, 2010). However it is not always reasonable to assume completeness of the underlying ordering. In this paper we generalise the structure of Booth et al. (Artif Intell 174: 1339-1368, 2010) (...)
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  13.  7
    Actor-Network Theory as a Sociotechnical Lens to Explore the Relationship of Nurses and Technology in Practice: Methodological Considerations for Nursing Research.Richard G. Booth, Mary-Anne Andrusyszyn, Carroll Iwasiw, Lorie Donelle & Deborah Compeau - 2016 - Nursing Inquiry 23 (2):109-120.
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  14. Belief Change.Richard Booth & Thomas Meyer - 2010 - Journal of the Indian Council of Philosophical Research 27 (1).
    In this paper we present a brief overview of logic-based belief change, a research area concerned with the question of how a rational agent ought to change its mind in the face of new, possibly conflicting, information. Our intention is to provide the reader with a basic introduction to the work done in this area over the past 30 years. In doing so we hope to sketch the main historical results, provide appropriate pointers to further references, and discuss some current (...)
     
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  15. The Relationship Between Archetypal Medicine and Past Life Therapy: Interdisciplinary Alternatives to Reductionistic Practice.Richard Booth - 1998 - International Journal of Transpersonal Studies 17 (2):7-16.
    Archetypal medicine and past life therapy have received only scant attention in mainstream medical and psychological literature. Nonetheless, the epistemological and practice assumptions underlying Alfred Ziegler's model of archetypal medicine are highly congruent with those of past life therapy and both proffer salient alternatives to traditional reductionistic practice in psychotherapy and medicine. This paper explores the manner in which both seek to understand the meanings embedded in "health" and "illness" through a metaphorical interpretation of symptoms. Dualistic thinking gives way to (...)
     
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