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

Name: Functional Interpretations: From The Dialectica Interpretation To Functional Interpretations Of Analysis And Set Theory
Brand: World Scientific Publishing Co Pte Ltd
SKU: 9789814551397
Price: 100.13 EUR
Availability: InStock

Автор: Justus Diller

Език:

Корици: С твърди корици

Издател: World Scientific Publishing Co Pte Ltd

Наличност: Външен склад

Изпращаме след 9-15 дни

100.13 € 195.84 лв

This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set...

Информация за книгата

Автор

Justus Diller

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2019

страници

248

EAN

9789814551397

ISBN

9814551392

Enbook ID

05071112

Издател

World Scientific Publishing Co Pte Ltd

Теглоt

500

Размери

161 x 236 x 15

Пълно описание

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

Информация за книгата

Пълно описание

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