Ultrametric Finite Automata and Turing Machines

  • Rūsiņš Freivalds
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7907)


We introduce a notion of ultrametric automata and Turing machines using p-adic numbers to describe random branching of the process of computation. These automata have properties similar to the properties of probabilistic automata but complexity of probabilistic automata and complexity of ultrametric automata can differ very much.


Riemann Surface Prime Number Turing Machine Nonnegative Real Number Ultrametric Analysis 
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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Rūsiņš Freivalds
    • 1
  1. 1.Institute of Mathematics and Computer ScienceUniversity of LatviaRigaLatvia

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