Abstract geometrical computation 4: Small Turing universal signal machines

  • Authors:
  • Jérôme Durand-Lose

  • Affiliations:
  • -

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2011

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Abstract

This paper provides several very small signal machines able to perform any computation-in the classical understanding-generated from Turing machines, cellular automata and cyclic tag systems. A halting universal signal machine with 13 meta-signals and 21 collision rules is presented (resp. 15 and 24 for a robust version). If infinitely many signals are allowed to be present in the initial configuration, five meta-signals and seven collision rules are enough to achieve non-halting weak universality (resp. six and nine for a robust version).