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A Kernel for Function Definable Classes and Its Relation to Lowness  (Make Corrections)  
Diana Emme



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Abstract: In the first part of this article we introduce function definability. Let F be a class of functions. We show that every F-definable class of languages already contains UF " co-UF , and if F is closed under subtraction from one then the kernel itself is F-definable. In the next part we investigate lowness of function classes, where we specialize on classes basing on the class P with arbitrary oracles which are transformed into function classes by the operators #, Gap, span, and F. We prove for... (Update)

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BibTeX entry:   (Update)

@misc{ emme-kernel,
  author = "Diana Emme",
  title = "A Kernel for Function Definable Classes and Its Relation to Lowness",
  url = "citeseer.ist.psu.edu/220058.html" }
Citations (may not include all citations):
251   The complexity of computing the permanent (context) - Valiant - 1979
151   The complexity of optimization problems (context) - Krentel - 1988
90   The complexity of combinatorial problems with succinct input.. (context) - Wagner - 1986
86   Gap-definable counting classes - Fenner, Fortnow et al. - 1991
38   PP is closed under truth-table reductions - Fortnow, Reingold - 1991
31   A complexity theory for feasible closure properties - Ogiwara, Hemachandra - 1991
16   Complexity of functions versus complexity of sets (context) - Vollmer, Wagner - 1991
16   Classes of counting functions and complexity theoretic opera.. - Vollmer, Wagner - 1991
14   A low and a high hierarchy within NP (context) - Schoning - 1983
13   Structural Properties of the Counting Hierarchies (context) - Tor'an - 1988
12   and Joaquim Gabarr'o (context) - Balc'azar, D'iaz - 1988
8   Structural Complexity II (context) - Balc'azar, D'iaz et al. - 1990
7   The power of witness reduction (context) - Gupta - 1991
3   Strukturelle Komplexitat von Anzahlproblemen (context) - Kobler - 1989

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