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Lower Space Bounds for Accepting Shuffle Languages

Published online by Cambridge University Press:  15 August 2002

Andrzej Szepietowski
Andrzej Szepietowski*
Affiliation:
Institute of Mathematics, University of Gdańsk, ul Wita Stwosza 57, 80952 Gdańsk, Poland
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Abstract

In [6] it was shown that shuffle languages are contained in one-way-NSPACE(log n) and in P. In this paper we show that nondeterministic one-way logarithmic space is in some sense the lower bound for accepting shuffle languages. Namely, we show that there exists a shuffle language which is not accepted by any deterministic one-way Turing machine with space bounded by a sublinear function, and that there exists a shuffle language which is not accepted with less than logarithmic space even if we allow two-way nondeterministic Turing machines.

Keywords

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 33 , Issue 3 , May 1999 , pp. 303 - 307
Copyright
© EDP Sciences, 1999

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References

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