From Sets and Types to Topology and Analysis:Towards practicable foundations for constructive mathematics

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This edited collection bridges the foundations and practice of constructive mathematics. Aimed at academic logicians, mathematicians, philosophers and computer scientists. Including, with contributions from leading researchers, it is up-to-date, highly topical and broad in scope.

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Yale University Library

Princeton University Library

Introduction; Douglas Bridges: Errett Bishop; 1 Michael Rathjen: Generalized Inductive Definitions in Constructive Set Theory; 2 Alex Simpson: Constructive Set Theories and their Category-theoretic Models; 3 Nicola Gambino: Presheaf models for Constructive Set Theories; 4 Thomas Streicher: Universes in Toposes; 5 Maria Emilia Maietti & Giovanni Sambin: Toward a minimalistic foundation for constructive mathematics; 6 Peter Hancock & Anton Setzer: Interactive Programs and Weakly Final Coalgebras in Dependent Type Theory; 7 Ulrich Berger and Monika Seisenberger: Applications of inductive definitions and choice principles to program synthesis; 8 Sara Negri and Jan von Plato: The duality of lcassical and constructive notions and proofs; 9 Erik Palmgren: Continuity on the real line and in formal spaces; 10 Peter Aczel & Christopher Fox: Separation Properties in Constructive Topology; 11 A. Bucalo & G. Rosolini: Spaces as comonoids; 12 Maria Emilia Maietti: Predicative exponentiation of locally compact formal topologies over inductively generated ones; 13 Stephen Vickers: Some constructive roads to Tychonoff; 14 Thierry Coquand, Henri Lombardi & Marie-Francoise Roy: An elementary characterisation of Krull dimension; 15 Hajime Ishihara: Constructive reverse mathematics: compactness properties; 16 Bas Spitters: Approximating integrable sets by compacts constructively; 17 Hiroki Takamura: An introduction to the theory of c*-algegras in constructive mathematics; 18 Douglas Bridges & Robin Havea: Approximations to the numerical range of an element of a Banach algebra; 19 Douglas Bridges & Luminita Vita: The constructive uniqueness of the locally convex topology on rn; 20 Vasco Brattka: Computability on Non-Separable Banach Spaces and Landau’s Theorem

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From Sets and Types to Topology and Analysis:Towards practicable foundations for constructive mathematics（Oxford Logic Guides） 从集与类型到拓扑与分析：为建设性数学奠定可行的基础 数理逻辑与数学基础

From Sets and Types to Topology and Analysis:Towards practicable foundations for constructive mathematics（Oxford Logic Guides）

从集与类型到拓扑与分析：为建设性数学奠定可行的基础
数理逻辑与数学基础