Advances in Proof-Theoretic Semantics /

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:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2016.
Series:	Trends in Logic, Studia Logica Library. 43.
Subjects:	Philosophy. Logic. Mathematical Logic and Formal Languages. Mathematical Logic and Foundations. Logic, Symbolic and mathematical. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Chapter 1. Introduction; Thomas Piecha and Peter-Schroeder-Heister
Chapter 2. On Brouwer-Heyting-Kolmogorov provability semantics; Sergei N. Artemov
Chapter 3. Two Ways of General Proof Theory; Kosta Dos;en
Chapter 4. Generalised elimination rules; Roy Dyckhoff
Chapter 5. On the proof theoretic foundations of set theory; Lars Hallnas
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; Goran 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 and Hidenori Kurokawa
Chapter 16. On Paradoxes in Proof-Theoretic Semantics; Yoshihiro Maruyama.