The First Order Theories of the Medvedev and Muchnik Lattices

  • Andrew Lewis
  • André Nies
  • Andrea Sorbi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5635)

Abstract

We show that the first order theories of the Medevdev lattice and the Muchnik lattice are both computably isomorphic to the third order theory of the natural numbers.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Andrew Lewis
    • 1
  • André Nies
    • 2
  • Andrea Sorbi
    • 1
  1. 1.University of SienaSienaItaly
  2. 2.Department of Computer ScienceUniversity of AucklandNew Zealand

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