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Formalized Recursive Functionals and Formalized Realizability

Available Formats:
Electronic ISBN: 978-1-4704-0038-5
Product Code: MEMO/1/89.E
List Price: $21.00
MAA Member Price: $18.90
AMS Member Price: $12.60

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Formalized Recursive Functionals and Formalized Realizability
Available Formats:
Electronic ISBN: | 978-1-4704-0038-5 |
Product Code: | MEMO/1/89.E |
List Price: | $21.00 |
MAA Member Price: | $18.90 |
AMS Member Price: | $12.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 1; 1969; 106 ppMSC: Primary 03;
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Table of Contents
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Chapters
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Introduction
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Part I. Formalized recursive functionals
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1. Computation tree numbers
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2. $p$-terms and $p$-functors; $r\simeq s$ (definition and basic properties)
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3. Representation of $p$-terms by proper indices
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4. The recursion theorem; the normal form theorem; $\{\tau \}[\alpha ]$ and $\wedge \alpha \, u[\alpha ]$; $!R \,\&\, [A(R)]$
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Part II. Formalized realizability
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5. Intuitionistically provable formulas are realizable and $\bigcirc \!\!\!\!\!q$ -realizable
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RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
Introduction
-
Part I. Formalized recursive functionals
-
1. Computation tree numbers
-
2. $p$-terms and $p$-functors; $r\simeq s$ (definition and basic properties)
-
3. Representation of $p$-terms by proper indices
-
4. The recursion theorem; the normal form theorem; $\{\tau \}[\alpha ]$ and $\wedge \alpha \, u[\alpha ]$; $!R \,\&\, [A(R)]$
-
Part II. Formalized realizability
-
5. Intuitionistically provable formulas are realizable and $\bigcirc \!\!\!\!\!q$ -realizable
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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