Polynomials for Proving Termination of Context-Sensitive Rewriting

  title={Polynomials for Proving Termination of Context-Sensitive Rewriting},
  author={Salvador Lucas},
We show how to generate well-founded and stable term orderings based on polynomial interpretations over the real numbers. Monotonicity (another usual requirement in termination proofs) can, then, be gradually introduced in the interpretations to deal with different applications. For instance, the dependency pairs method for proving termination of rewriting, and some restrictions of the rewrite relation which are not monotonic in all arguments of the function symbols, can benefit from this… CONTINUE READING
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