The Logic of Partial Information (Monographs in Theoretical Computer Science. An EATCS Series)
暫譯: 部分資訊的邏輯(理論計算機科學專著。EATCS系列)

Areski Nait Abdallah

  • 出版商: Springer
  • 出版日期: 2011-12-30
  • 售價: $4,510
  • 貴賓價: 9.5$4,285
  • 語言: 英文
  • 頁數: 715
  • 裝訂: Paperback
  • ISBN: 3642781624
  • ISBN-13: 9783642781629
  • 相關分類: Computer-Science
  • 海外代購書籍(需單獨結帳)

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商品描述

One must be able to say at all times - in­ stead of points, straight lines, and planes - tables, chairs and beer mugs. (David Hilbert) One service mathematics has rendered the human race. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled "discarded nonsense. " (Eric T. Bell) This book discusses reasoning with partial information. We investigate the proof theory, the model theory and some applications of reasoning with par­ tial information. We have as a goal a general theory for combining, in a principled way, logic formulae expressing partial information, and a logical tool for choosing among them for application and implementation purposes. We also would like to have a model theory for reasoning with partial infor­ mation that is a simple generalization of the usual Tarskian semantics for classical logic. We show the need to go beyond the view of logic as a geometry of static truths, and to see logic, both at the proof-theoretic and at the model-theoretic level, as a dynamics of processes. We see the dynamics of logic processes bear with classical logic, the same relation as the one existing between classical mechanics and Euclidean geometry.

商品描述(中文翻譯)

「人必須隨時能夠說出——而不是點、直線和平面——桌子、椅子和啤酒杯。」(大衛·希爾伯特)數學對人類所做的一項服務是,它將常識放回應有的位置,放在最上層的架子上,旁邊是標有「丟棄的無稽之談」的塵封罐子。(艾瑞克·T·貝爾)本書討論的是部分資訊的推理。我們研究證明理論、模型理論以及部分資訊推理的一些應用。我們的目標是建立一個一般理論,以原則性的方式結合表達部分資訊的邏輯公式,並提供一個邏輯工具,以便在應用和實施目的中進行選擇。我們還希望擁有一個針對部分資訊推理的模型理論,這是一個對於經典邏輯的塔斯基語義的簡單概括。我們顯示出需要超越將邏輯視為靜態真理幾何的觀點,並將邏輯在證明理論和模型理論層面上視為過程的動態。我們認為邏輯過程的動態與經典邏輯之間的關係,與經典力學和歐幾里得幾何之間的關係相同。

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