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Complexity of Nondeterministic Multitape Computations Based on Crossing Sequences

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Descriptional Complexity of Formal Systems (DCFS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6808))

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Abstract

Developing the concept of crossing sequences for multitape computations proposed in 1979 by G. Wechsung, we derive new relations among complexity measures for nondeterministic multitape computations. Especially, we characterize inherent relations between nondeterministic time and space and other complexity measures related to the notion of crossing sequences. We also show a nondeterministic simulation of nondeterministic computations whose complexity depends on the length of crossing sequences of the simulated machine. To a certain extent our results mirror classical results known to hold for single-tape computations or for deterministic multitape computations.

This research was carried out within the institutional research plan AV0Z10300504 and partially supported by the GA ČR grant No. P202/10/1333.

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Wiedermann, J. (2011). Complexity of Nondeterministic Multitape Computations Based on Crossing Sequences. In: Holzer, M., Kutrib, M., Pighizzini, G. (eds) Descriptional Complexity of Formal Systems. DCFS 2011. Lecture Notes in Computer Science, vol 6808. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22600-7_25

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  • DOI: https://doi.org/10.1007/978-3-642-22600-7_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22599-4

  • Online ISBN: 978-3-642-22600-7

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