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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Piecha, Thomas (Επιμελητής έκδοσης), Schroeder-Heister, Peter (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
Σειρά:Trends in Logic, Studia Logica Library, 43
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.