Bounded monotone recursion and multihead automata

On the basis of bounded monotone recursion, a class BMR of word functions over the alphabet {1, 2} is defined. A new type of a computing device is introduced, which is called a multihead nonerasing automaton with output, or an MH automaton. It is proved that the class BMR coincides with the class MHA of word functions computable by MH automata in polynomial time. Numerous examples of word functions from the class BMR are given.