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

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  • Formatas: EPUB+DRM
  • Serija: Lecture Notes in Computer Science 10010
  • Išleidimo metai: 30-Nov-2016
  • Leidėjas: Springer International Publishing AG
  • Kalba: eng
  • ISBN-13: 9783319500621
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Computability and Complexity: Essays Dedicated to Rodney G. Downey on the Occasion of His 60th BirthdayDidesnis paveikslėlis
  • Formatas: EPUB+DRM
  • Serija: Lecture Notes in Computer Science 10010
  • Išleidimo metai: 30-Nov-2016
  • Leidėjas: Springer International Publishing AG
  • Kalba: eng
  • ISBN-13: 9783319500621
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This Festschrift is published in honor of Rodney G. Downey, eminent logician and computer scientist, surfer and Scottish country dancer, on the occasion of his 60th birthday.

The Festschrift contains papers and laudations that showcase the broad and important scientific, leadership and mentoring contributions made by Rod during his distinguished career. The volume contains 42 papers presenting original unpublished research, or expository and survey results in Turing degrees, computably enumerable sets, computable algebra, computable model theory, algorithmic randomness, reverse mathematics, and parameterized complexity, all areas in which Rod Downey has had significant interests and influence. The volume contains several surveys that make the various areas accessible to non-specialists while also including some proofs that illustrate the flavor of the fields.
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 König'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.- 1 1 in
Every Real in a 1 1 Class of Reals is 1.- 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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