Abstract

It is shown that (1) every context-free language is T(n) = n 4 -recognizable by a single-tape Turing machine and (2) every linear context-free language is T(n) = n 2 -recognizable by a single-tape Turing machine. It follows from (2) and a result obtained by Hartmanis (1968) that T(n) = n 2 is a least upper time bound in which every linear context-free language can be recognized by a single-tape Turing machine.

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