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8th Annual Symposium on Switching and Automata Theory (SWAT 1967) (1967)
Texas
Oct. 18, 1967 to Oct. 20, 1967
pp: 296-306
ABSTRACT
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.
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CITATION

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.
doi:10.1109/FOCS.1967.7
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