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Logic and Computation.

By: Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 1990Copyright date: ©1990Edition: 1st edDescription: 1 online resource (314 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821876947
Subject(s): Genre/Form: Additional physical formats: Print version:: Logic and ComputationDDC classification:
  • 511.3
LOC classification:
  • QA9.59 -- .W67 1987eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Some theories conservative over intuitionistic arithmetic -- Ramsey interpreted: A parametric version of Ramsey's theorem -- Notions of closed subsets of a complete separable metric space in weak subsystems of second order arithmetic -- A note on polynomial time computable arithmetic -- Axiomatizations and conservation results for fragments of bounded arithmetic -- A smash-based hierarchy between PTIME and PSPACE -- Polymorphic typed lambda-calculi in a type-free axiomatic framework -- Polynomial time computable arithmetic -- Metaprogramming in SIL -- W K Lo and orderings of countable abelian groups -- Marriage theorems and reverse mathematics -- Computationally based set existence principles -- Hierarchy results for mixed-time -- Polynomial time equivalence types -- Program development through proof transformation -- Some models of Scott's theory LC F based on a notion of rate of convergence -- Sharply bounded arithmetic and the function a -1 -- Radon-nikodym theorem is equivalent to arithmetical comprehension.
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Intro -- Contents -- Preface -- Some theories conservative over intuitionistic arithmetic -- Ramsey interpreted: A parametric version of Ramsey's theorem -- Notions of closed subsets of a complete separable metric space in weak subsystems of second order arithmetic -- A note on polynomial time computable arithmetic -- Axiomatizations and conservation results for fragments of bounded arithmetic -- A smash-based hierarchy between PTIME and PSPACE -- Polymorphic typed lambda-calculi in a type-free axiomatic framework -- Polynomial time computable arithmetic -- Metaprogramming in SIL -- W K Lo and orderings of countable abelian groups -- Marriage theorems and reverse mathematics -- Computationally based set existence principles -- Hierarchy results for mixed-time -- Polynomial time equivalence types -- Program development through proof transformation -- Some models of Scott's theory LC F based on a notion of rate of convergence -- Sharply bounded arithmetic and the function a -1 -- Radon-nikodym theorem is equivalent to arithmetical comprehension.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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