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{ "item_title" : "Computability and Complexity", "item_author" : [" Adam Day", "Michael Fellows", "Noam Greenberg "], "item_description" : "Cameo of a Consummate Computabilist.- Surfing with Rod.- Prequel to the Cornell Computer Science Department.- Some Questions in Computable Mathematics.- Introduction to Autoreducibility and Mitoticity.- The Complexity of Complexity.- Bounded Pushdown Dimension vs Lempel Ziv Information Density.- On Being Rod's Graduate Student.- Herrmann's Beautiful Theorem on Computable Partial Orderings.- Effectiveness of Hindman's Theorem for Bounded Sums.- Reverse Mathematics of Matroids.- Weakly Represented Families in Reverse Mathematics.- The Vitali Covering Theorem in the Weihrauch Lattice.- Parallel and Serial Jumps of Weak K nig's Lemma.- Effectively Existentially-Atomic Structures.- Irreducibles and Primes in Computable Integral Domains.- Revisiting Uniform Computable Categoricity: For the Sixtieth Birthday of Prof. Rod Downey.- Enumeration Reducibility and Computable Structure Theory.- Strength and Weakness in Computable Structure Theory.- On Constructive Nilpotent Groups.- Computable Model Theory over the Reals.- The Lattice of Computably Enumerable Vector Spaces.- Injection Structures Specified by Finite State Transducers.- A Survey on Universal Computably Enumerable Equivalence Relations.- Higher Computability.- Σ1 1 in Every Real in a Σ1 1 Class of Reals is Σ1.- A Survey of Results on the D-C.E. and N-C.E. Degrees.- There Are no Maximal D.C.E. WTT-Degrees.- A Rigid Cone in the Truth-Table Degrees with Jump.- Asymptotic Density and the Theory of Computability: A Partial Survey.- On Splits of Computably Enumerable Sets.- 1-Generic Degrees Bounding Minimal Degrees Revisited.- Nondensity of Double Bubbles in the D.C.E. Degrees.- On the Strongly Bounded Turing Degrees of the Computably Enumerable Sets.- Permutations of the Integers Induce Only the Trivial Automorphism of the Turing Degrees.- On the Reals which Cannot Be Random.- A Note on the Differences of Computably Enumerable Reals.- Effective Bi-immunity and Randomness.- On Work of Barmpalias and Lewis-Pye: A Derivation on the D.C.E. Reals.- Turing Degrees and Muchnik Degrees of Recursively Bounded DNR Functions.- Algorithmic Statistics: Forty Years Later.- Lowness, Randomness, and Computable Analysis. ", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/31/950/061/3319500619_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Computability and Complexity|Adam Day

Computability and Complexity : Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday

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Overview

Cameo of a Consummate Computabilist.- Surfing with Rod.- Prequel to the Cornell Computer Science Department.- Some Questions in Computable Mathematics.- Introduction to Autoreducibility and Mitoticity.- The Complexity of Complexity.- Bounded Pushdown Dimension vs Lempel Ziv Information Density.- On Being Rod's Graduate Student.- Herrmann's Beautiful Theorem on Computable Partial Orderings.- Effectiveness of Hindman's Theorem for Bounded Sums.- Reverse Mathematics of Matroids.- Weakly Represented Families in Reverse Mathematics.- The Vitali Covering Theorem in the Weihrauch Lattice.- Parallel and Serial Jumps of Weak K nig's Lemma.- Effectively Existentially-Atomic Structures.- Irreducibles and Primes in Computable Integral Domains.- Revisiting Uniform Computable Categoricity: For the Sixtieth Birthday of Prof. Rod Downey.- Enumeration Reducibility and Computable Structure Theory.- Strength and Weakness in Computable Structure Theory.- On Constructive Nilpotent Groups.- Computable Model Theory over the Reals.- The Lattice of Computably Enumerable Vector Spaces.- Injection Structures Specified by Finite State Transducers.- A Survey on Universal Computably Enumerable Equivalence Relations.- Higher Computability.- Σ1 1 in Every Real in a Σ1 1 Class of Reals is Σ1.- A Survey of Results on the D-C.E. and N-C.E. Degrees.- There Are no Maximal D.C.E. WTT-Degrees.- A Rigid Cone in the Truth-Table Degrees with Jump.- Asymptotic Density and the Theory of Computability: A Partial Survey.- On Splits of Computably Enumerable Sets.- 1-Generic Degrees Bounding Minimal Degrees Revisited.- Nondensity of Double Bubbles in the D.C.E. Degrees.- On the Strongly Bounded Turing Degrees of the Computably Enumerable Sets.- Permutations of the Integers Induce Only the Trivial Automorphism of the Turing Degrees.- On the Reals which Cannot Be Random.- A Note on the Differences of Computably Enumerable Reals.- Effective Bi-immunity and Randomness.- On Work of Barmpalias and Lewis-Pye: A Derivation on the D.C.E. Reals.- Turing Degrees and Muchnik Degrees of Recursively Bounded DNR Functions.- Algorithmic Statistics: Forty Years Later.- Lowness, Randomness, and Computable Analysis.

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Details

  • ISBN-13: 9783319500614
  • ISBN-10: 3319500619
  • Publisher: Springer
  • Publish Date: December 2016
  • Dimensions: 9.21 x 6.14 x 1.59 inches
  • Shipping Weight: 2.42 pounds
  • Page Count: 755

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