Narrowing-based simulation of term rewriting systems with extra variables

@article{Nishida2003NarrowingbasedSO,
  title={Narrowing-based simulation of term rewriting systems with extra variables},
  author={Naoki Nishida and Masahiko Sakai and Toshiki Sakabe},
  journal={Electr. Notes Theor. Comput. Sci.},
  year={2003},
  volume={86},
  pages={52-69}
}
Term rewriting systems (TRSs) extended by allowing to contain extra variables in their rewrite rules are called EV-TRSs. They are ill-natured since every one-step reduction by their rules with extra variables is infinitely branching and they are not terminating. To solve these problems, this paper shows that narrowing can simulate reduction sequences of EV-TRSs as narrowing sequences starting from ground terms. We prove the soundness of ground narrowing sequences for the reduction sequences. We… CONTINUE READING
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