A new perspective on nonmonotonic lo...
Gabbay, Dov M.

 

  • A new perspective on nonmonotonic logics[electronic resource] /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 006.3
    書名/作者: A new perspective on nonmonotonic logics/ by Dov M. Gabbay, Karl Schlechta.
    作者: Gabbay, Dov M.
    其他作者: Schlechta, Karl.
    出版者: Cham : : Springer International Publishing :, 2016.
    面頁冊數: x, 365 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Nonmonotonic reasoning.
    標題: Logic, Symbolic and mathematical.
    標題: Computer Science.
    標題: Mathematical Logic and Formal Languages.
    標題: Logic.
    標題: Philosophy of Science.
    標題: Mathematical Logic and Foundations.
    標題: Artificial Intelligence (incl. Robotics)
    ISBN: 9783319468174
    ISBN: 9783319468150
    內容註: Part I - Introduction -- Part II - Background Material -- Basic Algebraic and Logical Definitions -- Defeasible Inheritance -- Reiter Defaults and Autoepistemic Logic -- Preferential Structures and Related Concepts -- Deontic Logic, Contrary-to-Duty Obligations -- Theory Revision, Theory Contraction, and Conditionals -- Neurology -- Part III - New Results -- Independence and Interpolation -- Probabilistic and Abstract Independence -- Formal Construction -- The Talmudic Kal Vachomer Rule -- Equational CTD -- Conclusion -- Index.
    摘要、提要註: "Logics are like shadows on a wall; to understand why they dance as they do, and how they can be made to move differently, one needs to look at the mathematical structures from which they can be projected. That is a methodology that has long proven its value for classical and other forms of deductive inference; this book manifests its pertinence to logics of uncertain qualitative reasoning. It draws together and refines work from the literature on preferential and other quite different semantics for such reasoning and then, in its central chapter, integrates the leading ideas from them into a single multi-dimensional semantics. It enters new territory with investigations of interpolation and qualitative independence in non-monotonic contexts as well as connections between non-monotonic logic and neuroscience, specifically with Edelman's theory of organization of the brain. Finally, it proposes novel applications such as equational modellings for contrary-to-duty normative reasoning and mathematical analyses of some kinds of casuistic reasoning in the Talmudic tradition. Profusely signposted at every turn, the volume is accessible to readers equipped with a modicum of set theory and abstract algebra. Visitors to the area can come in by the front gate and work their way, in various orders, through as much of the garden as strikes their fancy; specialists will enter at Chap. 11 or at whatever special topic interests them, well assured that they can easily backtrack to whatever bits and pieces are needed from what they skipped. A volume with a clear vision, a book to return to many times." (David Makinson)
    電子資源: http://dx.doi.org/10.1007/978-3-319-46817-4
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