Computing a context-free grammar-generating series

  • Authors:
  • Bruce Litow

  • Affiliations:
  • James Cook Univ., Townsville, Australia

  • Venue:
  • Information and Computation
  • Year:
  • 2001

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Abstract

The parallel complexity of computing context-free grammar generating series is investigated. It is known that this problem is in DIV, but in terms of n&sgr; rather than n, where n is the index of the desired coefficient and &sgr; is the grammar size. A new method is presented which is in DIV in terms of 22O(&sgr;) &bul; n. Evidence is provided that any direct application of elimination theory to this problem leads to a space and time resource factor that is nearly exponential in grammar size. Copyright 2001 Academic Press.