Lower bounds on space complexity for contextfree recognition

  title={Lower bounds on space complexity for contextfree recognition},
  author={Helmut Alt},
  journal={Acta Informatica},
Using methods from linear algebra and crossing-sequence arguments it is shown that logarithmic space is necessary for the recognition of all context-free nonregular subsets of {a1}* ... {an}*, where {a1,...,an} is some alphabet. It then follows that log n is a lower bound on the space complexity for the recognition of any bounded or deterministic non-regular context-free language. 
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