Context-free languages can be accepted with absolutely no space overhead

  • Authors:

  • Lane A. Hemaspaandra;Proshanto Mukherji;Till Tantau

  • Affiliations:

  • Department of Computer Science, University of Rochester, Rochester, NY;Department of Computer Science, University of Rochester, Rochester, NY;Fakultät für Elektrotechnik und Informatik, Technische Universität Berlin, Berlin, Germany

  • Venue:
  • Information and Computation
  • Year:
  • 2005

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Abstract

We study Turing machines that are allowed absolutely no space overhead. The only work space the machines have, beyond the fixed amount of memory implicit in their finite-state control, is that which they can create by cannibalizing the input bits' own space. This model more closely reflects the fixed-sized memory of real computers than does the standard complexity-theoretic model of linear space. Though some context-sensitive languages cannot be accepted by such overhead-free machines, we show that all context-free languages can be accepted nondeterministically in polynomial time with absolutely no space overhead, and that all deterministic context-free languages can be accepted deterministically in polynomial time with absolutely no space overhead.