Complexity of nondeterministic multitape computations based on crossing sequences

  • Authors:
  • Jiří Wiedermann

  • Affiliations:
  • Institute of Computer Science, Academy of Sciences of the Czech Republic, Czech Republic

  • Venue:
  • DCFS'11 Proceedings of the 13th international conference on Descriptional complexity of formal systems
  • Year:
  • 2011

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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.