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Formalized Recursive Functionals and Formalized Realizability
 
Formalized Recursive Functionals and Formalized Realizability
eBook 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
Formalized Recursive Functionals and Formalized Realizability
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Formalized Recursive Functionals and Formalized Realizability
eBook 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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 11969; 106 pp
    MSC: Primary 03
  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 11969; 106 pp
MSC: Primary 03
  • 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 publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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