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Computability and Complexity

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Cover of 'Computability and Complexity'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Cameo of a Consummate Computabilist
  3. Altmetric Badge
    Chapter 2 Surfing with Rod
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    Chapter 3 Prequel to the Cornell Computer Science Department
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    Chapter 4 Some Questions in Computable Mathematics
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    Chapter 5 Introduction to Autoreducibility and Mitoticity
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    Chapter 6 The Complexity of Complexity
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    Chapter 7 Bounded Pushdown Dimension vs Lempel Ziv Information Density
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    Chapter 8 Complexity with Rod
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    Chapter 9 On Being Rod’s Graduate Student
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    Chapter 10 Herrmann’s Beautiful Theorem on Computable Partial Orderings
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    Chapter 11 Effectiveness of Hindman’s Theorem for Bounded Sums
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    Chapter 12 Reverse Mathematics of Matroids
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    Chapter 13 Weakly Represented Families in Reverse Mathematics
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    Chapter 14 The Vitali Covering Theorem in the Weihrauch Lattice
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    Chapter 15 Parallel and Serial Jumps of Weak Weak König’s Lemma
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    Chapter 16 Effectively Existentially-Atomic Structures
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    Chapter 17 Irreducibles and Primes in Computable Integral Domains
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    Chapter 18 Revisiting Uniform Computable Categoricity: For the Sixtieth Birthday of Prof. Rod Downey
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    Chapter 19 Enumeration Reducibility and Computable Structure Theory
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    Chapter 20 Strength and Weakness in Computable Structure Theory
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    Chapter 21 On Constructive Nilpotent Groups
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    Chapter 22 Computable Model Theory over the Reals
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    Chapter 23 The Lattice of Computably Enumerable Vector Spaces
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    Chapter 24 Injection Structures Specified by Finite State Transducers
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    Chapter 25 A Survey on Universal Computably Enumerable Equivalence Relations
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    Chapter 26 $$\Sigma _{1}^{1}$$ in Every Real in a $$\Sigma _{1}^{1}$$ Class of Reals Is $$\Sigma _{1}^{1}$$
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    Chapter 27 A Survey of Results on the d-c.e. and n-c.e. Degrees
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    Chapter 28 There Are No Maximal d.c.e. wtt -degrees
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    Chapter 29 A Rigid Cone in the Truth-Table Degrees with Jump
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    Chapter 30 Asymptotic Density and the Theory of Computability: A Partial Survey
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    Chapter 31 On Splits of Computably Enumerable Sets
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    Chapter 32 1-Generic Degrees Bounding Minimal Degrees Revisited
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    Chapter 33 Nondensity of Double Bubbles in the D.C.E. Degrees
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    Chapter 34 On the Strongly Bounded Turing Degrees of the Computably Enumerable Sets
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    Chapter 35 Permutations of the Integers Induce only the Trivial Automorphism of the Turing Degrees
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    Chapter 36 On the Reals Which Cannot Be Random
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    Chapter 37 A Note on the Differences of Computably Enumerable Reals
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    Chapter 38 Effective Bi-immunity and Randomness
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    Chapter 39 On Work of Barmpalias and Lewis-Pye: A Derivation on the D.C.E. Reals
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    Chapter 40 Turing Degrees and Muchnik Degrees of Recursively Bounded DNR Functions
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    Chapter 41 Algorithmic Statistics: Forty Years Later
  43. Altmetric Badge
    Chapter 42 Computability and Complexity
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    Chapter 43 Erratum to: There Are No Maximal d.c.e. wtt -degrees
Attention for Chapter 26: $$\Sigma _{1}^{1}$$ in Every Real in a $$\Sigma _{1}^{1}$$ Class of Reals Is $$\Sigma _{1}^{1}$$
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Chapter title
$$\Sigma _{1}^{1}$$ in Every Real in a $$\Sigma _{1}^{1}$$ Class of Reals Is $$\Sigma _{1}^{1}$$
Chapter number 26
Book title
Computability and Complexity
Published by
Springer, Cham, January 2017
DOI 10.1007/978-3-319-50062-1_26
Book ISBNs
978-3-31-950061-4, 978-3-31-950062-1
Authors

Leo Harrington, Richard A. Shore, Theodore A. Slaman, Harrington, Leo, Shore, Richard A., Slaman, Theodore A.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Unknown 2 100%
Readers by discipline Count As %
Agricultural and Biological Sciences 1 50%
Unknown 1 50%