Proof Theory and Intuitionistic Systems

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Chi tiết về thư mục
Tác giả chính: Scarpellini, Bruno, 19..-
Định dạng: Livre numérique
Ngôn ngữ:Anglais
Được phát hành: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Loạt:Lecture notes in mathematics 212
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Truy cập trực tuyến:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
Accès INSA CVL
Chú thích: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Proof theory and intuitionistic systems, Bruno Scarpellini,..., Berlin, Springer, 1971, 1 vol. (VII-290 p.), Lecture notes in mathematics, 3-540-05541-X
• Proof Theory and Intuitionistic Systems, Texte imprimé, 9783662184462
Mục lục:
  • and preliminaries
  • A review of Gentzen's second consistency proof
  • The intuitionistic system of number theory
  • A formally intuitionistic system as strong as classical analysis
  • Transfinite induction with respect to recursive wellorderings without function parameters
  • A formally intuitonistic theory equivalent to classical transfinite induction with respect to recursive wellfounded trees with function parameters
  • A system containing barinduction with respect to decidable predicates
  • Harrop formulas
  • The Markov principle
  • Relative consistency proof of ZTN with respect to ZTi/IN*.