On multi-head finite automata

  • Authors:
  • Arnold L. Rosenberg

  • Affiliations:
  • -

  • Venue:
  • FOCS '65 Proceedings of the 6th Annual Symposium on Switching Circuit Theory and Logical Design (SWCT 1965)
  • Year:
  • 1965

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Abstract

Let mn be the class of languages defined by n-head finite automata. The Boolean and Kleene closure properties of mn are investigated, and a relationship between mn and the class sets of n-tuples of tapes defined by n-tape finite automata is established. The relationships among the multi-head languages and the context-free and context-sensitive languages are investigated, and the adage, "Two heads are better than one," is generalized. Several decision properties of the multi-head languages are derived.