<p>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 G
Advances in proof-theoretic semantics
β Scribed by Piecha, Thomas;Schroeder-Heister, Peter Joseph
- Publisher
- Springer
- Year
- 2016
- Tongue
- English
- Leaves
- 281
- Series
- Trends in logic 43
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Chapter 1. Introduction
Thomas Piecha & Peter-Schroeder-Heister.- Chapter 2. On Brouwer-Heyting-Kolmogorov provability semantics
Sergei N. Artemov.- Chapter 3. Two Ways of General Proof Theory
Kosta Dosen.- 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
Goeran 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.
β¦ Subjects
Semantica e logica;Conference publication
π SIMILAR VOLUMES
--βDemonstrates the state of the art in proof-theoretic semantics --Discusses topics including semantics as a methodological question and general proof theory --Presents each chapter as a self-contained description of a significant research question in proof theoretic semantics This volume i
<p><p>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 an
This book is a monograph on the topic of Proof-Theoretic Semantics, a theory of meaning constituting an alternative to the more traditional Model-Theoretic Semantics. The latter regards meaning as truth-conditions (in arbitrary models), the former regards meaning as canonical derivability conditions
This book is a monograph on the topic of Proof-Theoretic Semantics, a theory of meaning constituting an alternative to the more traditional Model-Theoretic Semantics. The latter regards meaning as truth-conditions (in arbitrary models), the former regards meaning as canonical derivability conditions
What do the rules of logic say about the meanings of the symbols they govern? In this book, James W. Garson examines the inferential behaviour of logical connectives (such as 'and', 'or', 'not' and 'if ... then'), whose behaviour is defined by strict rules, and proves definitive results concerning e