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Fairness in term rewriting systems

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 202))

Abstract

The notion of fair derivation in a term-rewriting system is introduced, whereby every rewrite rule enabled infinitely often along a derivation is infinitely-often applied. A term-rewriting system is fairly-terminating iff all its fair derivations are finite. The paper presents the following question: is it decidable, for an arbitrary ground term rewriting system, whether it fairly terminates or not? A positive answer is given for several subcases. The general case remains open.

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References

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Jean-Pierre Jouannaud

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© 1985 Springer-Verlag Berlin Heidelberg

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Porat, S., Francez, N. (1985). Fairness in term rewriting systems. In: Jouannaud, JP. (eds) Rewriting Techniques and Applications. RTA 1985. Lecture Notes in Computer Science, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15976-2_14

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  • DOI: https://doi.org/10.1007/3-540-15976-2_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15976-6

  • Online ISBN: 978-3-540-39679-6

  • eBook Packages: Springer Book Archive

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