A Simple Universal Logic Element and Cellular Automata for Reversible Computing

  • Authors:
  • Kenichi Morita

  • Affiliations:
  • -

  • Venue:
  • MCU '01 Proceedings of the Third International Conference on Machines, Computations, and Universality
  • Year:
  • 2001

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Abstract

Reversible computing is a paradigm of computation that reflects physical reversibility, and is considered to be important when designing a logical devices based on microscopic physical law in the near future. In this paper, we focus on a problem how universal computers can be built from primitive elements with very simple reversible rules. We introduce a new reversible logic element called a "rotary element", and show that any reversible Turing machine can be realized as a circuit composed only of them. Such reversible circuits work in a very different fashion from conventional ones. We also discuss a simple reversible cellular automaton in which a rotary element can be implemented.