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23 April 2024 |
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Two heads are better than two tapes | Tao Jiang
; Joel Seiferas
; Paul Vitanyi
; | Date: |
18 Oct 2001 | Journal: | T. Jiang, J. Seiferas and P.M.B. Vitanyi, Two heads are better than two tapes, J. Assoc. Comp. Mach., 44:2(1997), 237--256 | Subject: | Computational Complexity ACM-class: F.2.2, F.1.1 | cs.CC | Affiliation: | McMaster University), Joel Seiferas (Rochester University), and Paul Vitanyi (CWI and University of Amsterdam | Abstract: | We show that a Turing machine with two single-head one-dimensional tapes cannot recognize the set {x2x’| x in {0,1}^* 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. | Source: | arXiv, cs.CC/0110039 | Services: | Forum | Review | PDF | Favorites |
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