String-matching cannot be done by a two-head one-way deterministic finite automaton

Ming Li, Yaacov Yesha · Information Processing Letters · 1986

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 (1983), whether a k-head one-way deterministic finite automaton can perform string-matching.

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