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23 April 2024
 
  » arxiv » cs.CC/0110039

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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
AffiliationMcMaster University), Joel Seiferas (Rochester University), and Paul Vitanyi (CWI and University of Amsterdam
AbstractWe 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
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