Linearization of Nonlinear Recursive Rules

  • Authors:
  • D. J. Troy;C. T. Yu;W. Zhang

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Software Engineering
  • Year:
  • 1989

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Abstract

The problem of converting a simple nonlinear recursive logic query into an equivalent linear one is considered. A general method is given to transform a nonlinear rule into a sequence of linear ones. For efficient processing it is necessary to convert a nonlinear rule into a single linear rule. For such a conversion, a necessary and sufficient condition is provided for a type of doubly recursive rule to be equivalent to the resulting linear rule. It is also shown that a restricted type of higher order recursive rule is equivalent to the linear rule obtained by its conversion.