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Two heads are better than two tapes
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Source Journal of the ACM (JACM) archive
Volume 44 ,  Issue 2  (March 1997) table of contents
Pages: 237 - 256  
Year of Publication: 1997
ISSN:0004-5411
Authors
Tao Jiang  McMaster University, Hamilton, Ontario, Canada
Joel I. Seiferas  University of Rochester, Rochester, New York
Paul M. B. Vitányi  CWI and Universiteit van Amsterdam, Amsterdam, The Netherlands
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 3,   Downloads (12 Months): 31,   Citation Count: 3
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ABSTRACT

We show that a Turing machine with two single-head one-dimensional tapes cannot recognize the set.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
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HENNIE, F.C. 1966. On-line Turing machine computations. IEEE Trans. Elect. Comput. EC-15, 1 (Feb.), 35-44.
 
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KOLMOGOROV, A.N. 1965. Three approaches to the quantitative definition of information. Prob. Inf. Transm. 1, 1 (Jan.-Mar.), 1-7.
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MEYER, A.R. 1971. An optimal time bound for a one tape on-line Turing machine computation. Unpublished manuscript. (Earlier version cited in MEYER EY AL. 1967.)
 
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MEYER, A. R., ROSENBERG, A. L., AND FISCHER, P. C. 1967. Turing machines with several read-write heads, preliminary report. In IEEE Conference Record of 1967 8th Annual Symposium on Switching and Automata Theory. IEEE Computer Society, Long Beach, Calif., pp. 117-127.
 
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PAUL, W. J., SEIFERAS, J. I., AND SIMON, J. 1981. An information-theoretic approach to time bounds for on-line computation. J. Comput. Syst. Sci. 23, 2 (Oct.), 108-126.
 
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RABIN, M.O. 1963. Real time computation. Is. J. Math. 1, 4 (Dec.), 203-211.
 
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STOI3, H.-J. 1970. k-Band-Simulation von k-Kopf-Turing-Maschinen. Computing 6, 3, 309-317 (in German).
 
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VALmV, K. 1970/1973. Certain estimates of the time of computation on Turing machines with an input. Cybernetics 6, 6 (June 1973), 734-741 (translated from Russian, published in Kibernetika 6, 6 (Nov.-Dec. 1970), 26-32).
 
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VITANYI, P. M.B. 1984. On two-tape real-time computation and queues. J. Comput. Syst. Sci. 29, 3 (Dec.), 303-311.
 
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Collaborative Colleagues:
Tao Jiang: colleagues
Joel I. Seiferas: colleagues
Paul M. B. Vitányi: colleagues