Ambiguity in Graphs and Expressions

  • Authors:
  • R. Book;S. Even;S. Greibach;G. Ott

  • Affiliations:
  • -;-;-;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1971

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Abstract

A regular expression is called unambiguous if every tape in the event can be generated from the expression in one way only. The flow-graph technique for constructing an expression is shown to preserve ambiguities of the graph, and thus, if the graph is that of a deterministic automaton, the expression is unambiguous. A procedure for generating a nondeterministic automaton which preserves the ambiguities of the given regular expression is described. Finally, a procedure for testing whether a given expression is ambiguous is given.