String-Matching Cannot be Done by a Two-Head One-Way Deterministic Finite Automaton

  • Authors:

  • Ming Li;Yaacov Yesha

  • Affiliations:

  • -;-

  • Venue:
  • String-Matching Cannot be Done by a Two-Head One-Way Deterministic Finite Automaton
  • Year:
  • 1983

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Abstract

We show that string-matching cannot be performed by a two-head one-way deterministic finite automaton (or even by a Turing machine with two one-way input heads and o(n) storage space). Thus we answer the special case $k=2$ of the open question, due to Galil and Seiferas [GS], whether a $k$-head one-way deterministic finite automaton can perform string-matching.