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portada natural deduction,a proof-theoretical study
natural deduction,a proof-theoretical studynatural deduction,a proof-theoretical study
Type
Physical Book
Author
Publisher
Language
English
Pages
113
Format
Paperback
Dimensions
19.5 x 15.2 x 0.7 cm
Weight
0.14 kg.
ISBN
0486446557
ISBN13
9780486446554
Categories

natural deduction,a proof-theoretical study

Dag Prawitz (Author) · Dover Publications · Paperback

natural deduction,a proof-theoretical study - Prawitz, Dag

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Synopsis "natural deduction,a proof-theoretical study"

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.

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