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From Sets and Types to Topology and Analysis: Towards practicable foundations for constructive mathematics: 48 - Rilegato

Libro 7 di 11: Oxford Logic Guides
 
9780198566519: From Sets and Types to Topology and Analysis: Towards practicable foundations for constructive mathematics: 48
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ISBN 10: 0198566514 ISBN 13: 9780198566519
Casa editrice: OUP Oxford, 2005

Sinossi

This edited collection bridges the foundations and practice of constructive mathematics and focusses on the contrast between the theoretical developments, which have been most useful for computer science (eg constructive set and type theories), and more specific efforts on constructive analysis, algebra and topology. 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.

This is the latest volume in the Oxford Logic Guides, which also includes:

41. J.M. Dunn and G. Hardegree: Algebraic Methods in Philosophical Logic
42. H. Rott: Change, Choice and Inference: A study of belief revision and nonmonotoic reasoning
43. Johnstone: Sketches of an Elephant: A topos theory compendium, volume 1
44. Johnstone: Sketches of an Elephant: A topos theory compendium, volume 2
45. David J. Pym and Eike Ritter: Reductive Logic and Proof Search: Proof theory, semantics and control
46. D.M. Gabbay and L. Maksimova: Interpolation and Definability: Modal and Intuitionistic Logics
47. John L. Bell: Set Theory: Boolean-valued models and independence proofs, third edition

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

  • 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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
OUP Oxford
Data di pubblicazione
2005
Lingua
Inglese
ISBN 10 
0198566514
ISBN 13 
9780198566519
Rilegatura
Copertina rigida
Numero di pagine
372
Redattore
Crosilla Laura, Schuster Peter
Contatto del produttore
Messaggerie Libri
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