Abstract
Every multidimensional Turing-machine can be simulated on-line by a tree-tape Turing-machine in nearly the same amount of time.
Preview
Unable to display preview. Download preview PDF.
References
Cook and Anderaa, On the minimum computation time of functions, Trans. AMS 142, August 1969, 291–314.
Fischer, Meyer and Rosenberg, Real-time simulation of multihead tape units, J. ACM 19, 4, 1972, 590–607.
Grigorjev, Imbedding theorems for Turing-machines of differnet dimensions and Kolmogorov's algorithms, Soviet Math. Dokl. 18, 1977, 588–592.
Grigorjev, Time bounds of multidimensional Turing-machines, 1979.
Hennie, On-line Turing machine computations, IEEE Trans. EC 15, 1, 1966, 34–44.
Hennie and Stearns, Two-tape simulation of multihead tape units, I. ACM 13, 4, 1966, 533–546.
Leong and Seiferas, New real-time simulations of multihead tape units, Proc. 9th ACM Symp. Theory of Computing, 1977, 239–248.
Paterson, Fischer and Meyer, An improved overlap argument for on-line multiplication, SIAM-AMS Proc. 7, 1974, 97–111.
Paul and Reischuk, On time versus space II, 20th IEEE-FOCS, 1979, 298–306.
Pippenger and Fischer, Relations among complexity measures, J. ACM 26, 2, 1979, 361–381.
Reischuk, Beziehungen zwischen Rechenzeit, Speicherplatz und Speicherstruktur, Preprint, Universität Bielefeld, 1979.
Stoss, Zwei-Band Simulation von Turingmaschinen, Computing 7, 1971, 222–235.
Turing, On computable numbers with an application to the Entscheidungsporblem, Proc. London Math. Soc. (2), 42, 1936, 230–265.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Reischuk, R. (1980). A "fast implementation" of a multidimensional storage into a tree storage. In: de Bakker, J., van Leeuwen, J. (eds) Automata, Languages and Programming. ICALP 1980. Lecture Notes in Computer Science, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10003-2_96
Download citation
DOI: https://doi.org/10.1007/3-540-10003-2_96
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10003-4
Online ISBN: 978-3-540-39346-7
eBook Packages: Springer Book Archive