@Article{YR78, author = { Andrew C. Yao and Ronald L. Rivest }, title = { $k+1$ heads are better than $k$ }, pages = { 337--340 }, acmid = { 322076 }, doi = { 10.1145/322063.322076 }, acm = { 2424 }, journal = { JACM }, OPTyear = { 1978}, OPTmonth = { April }, date = { 1978-04 }, volume = { 25 }, number = { 2 }, publisher = { ACM }, issn = { 0004-5411 }, keywords = { multihead finite automata }, abstract = { There are languages which can be recognized by a deterministic $(k+1)$-headed one-way finite automaton but which cannot be recognized by a $k$-headed one-way (deterministic or nondeterministic) finite automaton. Furthermore, there is a language accepted by a $2$-headed nondeterministic finite automaton which is accepted by no $k$-headed deterministic finite automaton. }, }