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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| 格式: | 電子 電子書 |
| 語言: | 英语 |
| 出版: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| 叢編: | Trends in Logic, Studia Logica Library,
43 |
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| 在線閱讀: | http://dx.doi.org/10.1007/978-3-319-22686-6 |
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書本目錄:
- 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.