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Synopsis
Prawitz's theories form the basis of intuitionistic type theory, and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics. The proof-theoretical system represents a simpler and more illuminating method than alternative approaches, and this volume offers a succinct, coherent illustration of its applications to natural deduction. 1965 edition.
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- PublisherDover Publications Inc
- Publication date2006
- ISBN 10 0486446557
- ISBN 13 9780486446554
- BindingPaperback
- LanguageEnglish
- Number of pages113
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Natural Deduction : A Proof-theoretical Study
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Natural Deduction: A Proof-Theoretical Study
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ISBN 13: 9780486446554
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Natural Deduction: A Proof-Theoretical Study (Dover Books on Mathematics)
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Natural Deduction (Paperback)
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Dover Publications Inc., New York, 2006
ISBN 10: 0486446557
ISBN 13: 9780486446554
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Paperback. Condition: new. Paperback. An innovative approach to the semantics of logic, proof-theoretic semantics seeks the meaning of propositions and logical connectives within a system of inference. Gerhard Gentzen invented proof-theoretic semantics in the early 1930s, and Dag Prawitz, the author of this study, extended its analytic proofs to systems of natural deduction. Prawitz's theories form the basis of intuitionistic type theory, and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics.The concept of natural deduction follows a truly natural progression, establishing the relationship between a noteworthy systematization and the interpretation of logical signs. As this survey explains, the deduction's principles allow it to proceed in a direct fashion - a manner that permits every natural deduction's transformation into the equivalent of normal form theorem. A basic result in proof theory, the normal form theorem was established by Gentzen for the calculi of sequents. The proof of this result for systems of natural deduction is in many ways simpler and more illuminating than alternative methods. This study offers clear illustrations of the proof and numerous examples of its advantages. Prawitz's theories form the basis of intuitionistic type theory, and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics. The proof-theoretical system represents a simpler and more illuminating method than alternative approaches, and this volume offers a succinct, coherent illustration of its applications to natural deduction. 1965 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780486446554
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Natural Deduction: A Proof-theoretical Study
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Natural Deduction: A Proof-Theoretical Study (Dover Books on MaTHEMA 1.4tics)
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Natural Deduction: A Proof-Theoretical Study (Paperback or Softback)
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Natural Deduction: A Proof-Theoretical Study (Dover Books on Mathematics)
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Natural Deduction : A Proof-theoretical Study
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