Two heads are better than two tapes:

Abstract: "We show that a Turing machine with two single-head one-dimensional tapes cannot recognize the set [x2x' / x [member of] [0,1][superscript *] and x' is a prefix of x] in real time, although it can do so with three tapes, two two-dimensional tapes, or one two-head tape, or in...

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Bibliographic Details
Main Authors: Liang, Tao (Author), Seiferas, Joel I. Seiferas (Author), Vitányi, Paul M. (Author)
Format: Book
Language:English
Published: Amsterdam 1994
Series:Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS 94,18
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Summary:Abstract: "We show that a Turing machine with two single-head one-dimensional tapes cannot recognize the set [x2x' / x [member of] [0,1][superscript *] and x' is a prefix of x] in real time, although it can do so with three tapes, two two-dimensional tapes, or one two-head tape, or in linear time with just one tape. In particular, this settles the longstanding conjecture that a two-head Turing machine can recognize more languages in real time if its heads are on the same one-dimensional tape than if they are on separate one-dimensional tapes."
Physical Description:12 S.