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Functional Interpretations: From The Dialectica Interpretation To Functional Interpretations Of Analysis And Set Theory

Jezik AngleščinaAngleščina
Knjiga Trda
Knjiga Functional Interpretations: From The Dialectica Interpretation To Functional Interpretations Of Analysis And Set Theory Justus Diller
Koda Libristo: 05071112
Založba World Scientific Publishing Co Pte Ltd, november 2019
This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set... Celoten opis
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98.84
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This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Godel's Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals of finite types. Regular functional interpretations, i.e. Dialectica and Diller - Nahm interpretation as well as Kreisel's modified realization, together with their Troelstra-style hybrids, are applied to constructive as well as classical systems of arithmetic, analysis, and set theory. They yield relative consistency and conservativity results and closure under relevant rules of the theories in question as well as axiomatic characterizations of the functional translations. Prerequisites are: familiarity with classical and intuitionistic predicate logic, basics of computability theory, Godel's incompleteness theorems.

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O knjigi

Polni naslov Functional Interpretations: From The Dialectica Interpretation To Functional Interpretations Of Analysis And Set Theory
Jezik Angleščina
Vezava Knjiga - Trda
Datum izida 2019
Število strani 248
EAN 9789814551397
ISBN 9814551392
Koda Libristo 05071112
Teža 500
Mere 161 x 236 x 15
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