On multi-head finite automata

  • Authors:
  • A. L. Rosenberg

  • Affiliations:
  • Thomas J. Watson Research Center, Yorktown Heights, New York

  • Venue:
  • IBM Journal of Research and Development
  • Year:
  • 1966

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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 of sets of n-tuples of tapes defined by n-tape finite automata is established. It is shown that the classes Mi form a hierarchy; and that, moreover, for all n, there is a context-free language (CFL) in Mn+1, - Mn. It is further shown that there is a CFL which is in no Mn for any integer n. Finally, several decision properties of the multi-head languages are established.