Advances in Proof-Theoretic Semantics

Advances in Proof-Theoretic Semantics

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This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Piecha, Thomas (Editor), Schroeder-Heister, Peter (Editor)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Trends in Logic, Studia Logica Library, 43
Subjects:
Logic.
Mathematical logic.
Machine theory.
Mathematical Logic and Foundations.
Formal Languages and Automata Theory.
Online Access:Link to Metadata
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Table of Contents:
  • Chapter 1. Introduction; Thomas Piecha & Peter-Schroeder-Heister
  • Chapter 2. On Brouwer-Heyting-Kolmogorov provability semantics; Sergei N. Artëmov
  • Chapter 3. Two Ways of General Proof Theory; Kosta Došen
  • Chapter 4. Generalised elimination rules; Roy Dyckhoff
  • Chapter 5. On the proof theoretic foundations of set theory; Lars Hallnäs
  • Chapter 6. The choice of semantics as a methodological question; Wilfrid Hodges
  • Chapter 7. The mode of presentation; Reinhard Kahle
  • Chapter 8. Remarks on relations between Gentzen and Heyting inspired PTS; Dag Prawitz
  • Chapter 9. Unification of logics by reflection; Giovanni Sambin
  • Chapter 10. BHK and Brouwer's Theory of the Creative Subject; Göran Sundholm
  • Chapter 11. Compositional semantics for predicate logic: Eliminating bound variables from formulas and deductions; William W. Tait
  • Chapter 12. Intuitionism, the Paradox of Knowability and Empirical Negation; Gabriele Usberti
  • Chapter 13. Explicit composition and its application in normalization proofs; Jan von Plato
  • Chapter 14. A two-sorted typed lambda-calculus; Heinrich Wansing
  • Chapter 15. Kreisel's second clause and the Theory of Constructions; Walter Dean & Hidenori Kurokawa
  • Chapter 16. On Paradoxes in Proof-Theoretic Semantics; Yoshihiro Maruyama.

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