Some classes of term rewriting systems inferable from positive data

  • Authors:
  • M. R. K. Krishna Rao

  • Affiliations:
  • Information and Computer Science Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2008

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Abstract

In this paper, we study the inferability of term rewriting systems (trss, for short) from positive examples alone. Two classes of trss inferable from positive data are presented, namely, simple flat trss and linear-bounded trss. These classes of trss are rich enough to include many divide-and-conquer programs like addition, doubling, logarithm, tree-count, list-count, split, append, reverse, etc. The classes of simple flat trss and linear-bounded trss are incomparable, i.e., there are functions that can be computed by simple flat trss but not by linear-bounded trss and vice versa.