Dick de Jongh on Intuitionistic and Provability Logics
暫譯: 迪克·德容赫的直覺主義與可證性邏輯

Bezhanishvili, Nick, Iemhoff, Rosalie, Yang, Fan

  • 出版商: Springer
  • 出版日期: 2025-07-26
  • 售價: $5,620
  • 貴賓價: 9.5$5,339
  • 語言: 英文
  • 頁數: 384
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031479238
  • ISBN-13: 9783031479236
  • 相關分類: 離散數學 Discrete-mathematics
  • 海外代購書籍(需單獨結帳)

商品描述

This book is dedicated to Dick de Jongh's contributions to the theory of intuitionistic and provability logics. Consisting of 13 chapters, written by leading experts, this book discusses de Jongh's original contributions and consequent developments that have helped to shape these fields.

The book begins with an autobiographic note by Dick de Jongh, which discusses the main themes of his work and places the other contributions in context. The next four chapters explore the De Jongh-Sambin fixed point theorem and other contributions to provability and interpretability logics. The following four chapters focus on modal, intuitionistic and intuitionistic modal logics. They discuss independence of formulas, unification and de Jongh formulas in intuitionistic and modal logics. Then there follow two chapters on the other two areas to which Dick de Jongh made important contributions: the theory of well-partial orders, and formal learning theory. The second to last chapter on Origami Geometry can be seen as representing the Master of Logic program of the Institute for Logic, Language and Computation (ILLC) in which de Jongh invested a lot of energy. The book ends with a complete bibliography of Dick de Jongh in the last chapter. This volume provides a vital overview - and continuation of - de Jongh's prolfic work in the theory of intuitionistic and provability logics.

商品描述(中文翻譯)

本書獻給 Dick de Jongh 在直覺主義邏輯和可證性邏輯理論方面的貢獻。全書共包含 13 章,由領域內的專家撰寫,討論了 de Jongh 的原創貢獻及其後續發展,這些都對這些領域的形成起到了重要作用。

本書以 Dick de Jongh 的自傳性註解開始,討論了他工作的主要主題,並將其他貢獻置於背景中。接下來的四章探討了 De Jongh-Sambin 不動點定理及其他對可證性和可解釋性邏輯的貢獻。隨後的四章專注於模態邏輯、直覺主義邏輯和直覺主義模態邏輯,討論了公式的獨立性、統一性以及直覺主義和模態邏輯中的 de Jongh 公式。接下來的兩章則探討了 Dick de Jongh 在其他兩個重要貢獻領域的理論:良部分序理論和形式學習理論。倒數第二章關於摺紙幾何的內容可以被視為代表邏輯、語言與計算研究所(ILLC)的邏輯碩士課程,de Jongh 在該課程中投入了大量精力。最後一章提供了 Dick de Jongh 的完整參考書目。本書提供了對 de Jongh 在直覺主義邏輯和可證性邏輯理論中豐富工作的關鍵概述與延續。