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Problems of Information Transmission

, Volume 54, Issue 3, pp 258–262 | Cite as

On the Complexity of Polynomial Recurrence Sequences

  • S. S. Marchenkov
Automata Theory
  • 4 Downloads

Abstract

We consider recurrence sequences over the set of integers with generating functions being arbitrary superpositions of polynomial functions and the sg function, called polynomial recurrence sequences. We define polynomial-register (PR) machines, close to random-access machines. We prove that computations on PR machines can be modeled by polynomial recurrence sequences. On the other hand, computation of elements of a polynomial recurrence sequence can be implemented using a suitable PR machine.

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Copyright information

© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  1. 1.Faculty of Computational Mathematics and CyberneticsLomonosov Moscow State UniversityMoscowRussia

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