On-the-Fly Algorithms and Sequential Machines

  • Authors:
  • Christiane Frougny

  • Affiliations:
  • L.I.A.F.A, Paris, France

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 2000

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Abstract

It is shown that a function is computable by an on-the-fly algorithm processing data in the most significant digit first fashion with a finite number of registers if and only if it is computable by a right subsequential finite state machine processing deterministically data in the least significant digit first fashion. Some applications to complex radix number systems are given.