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8th Annual Symposium on Switching and Automata Theory (SWAT 1967) (1967)
Oct. 18, 1967 to Oct. 20, 1967
pp: 296-306
A study is made of the classes of predicates accepted by three types of multitape Turing machine. In order of decreasing acceptance powers, these are the general Turing machine, the Linear-Bounded Automaton, and the multitape two-way nonwriting automaton. Each class is shown to consist of all and only those predicates which can be defined by a corresponding class of predicate calculus formulas based on one-sided catenation with letters, and involving as logical operators conjunction, disjunction, and a type of transitive closure on predicates of 2n variables.

N. D. Jones, "Classes of automata and transitive closure," 8th Annual Symposium on Switching and Automata Theory (SWAT 1967)(FOCS), Texas, 1967, pp. 296-306.
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