Properties that characterize LOGCFL

  • Authors:
  • H. Venkateswaran

  • Affiliations:
  • School of Information and Computer Science, Georgia Institute of Technology, Atlanta, Georgia

  • Venue:
  • STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
  • Year:
  • 1987

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Abstract

Two properties, called semi-unboundedness, and polynomial proof-size, are identified as key properties shared by the definitions of LOGCFL on several models of computations. The semi-unboundedness property leads to the definition of new models of computation based on unbounded fan-in circuits. These are circuits obtained from unbounded fan-in circuits by restricting the fan-in of gates of one type. A new characterization of LOGCFL is obtained on such a model in which the fan-in of the AND gates are bounded by a constant. This property also suggests new characterizations of LOGCFL on the following models: alternating Turing machines [CKS81], nondeterministic auxiliary pushdown automata [Co71], and bounded fan-in Boolean circuits [Co85].