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Semantics for positive/negative conditional rewrite systems

  • Proof Techniques and Extensions of Conditional Rewriting
  • Conference paper
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Conditional Term Rewriting Systems (CTRS 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 656))

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Abstract

We present two approaches to define the semantics for positive/negative conditional rewrite systems. The first — the recursive evaluation approach — is based on a well-founded ordering and leads to a perfect model semantics. The second — the built-in evaluation approach — is based on a set of predefined inequations and leads to an initial model semantics provided the inequations are interpreted in a non-standard way. Both approaches coincide if a suitable inequation covering property is satisfied.

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Michaël Rusinowitch Jean-Luc Rémy

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© 1993 Springer-Verlag Berlin Heidelberg

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Becker, K. (1993). Semantics for positive/negative conditional rewrite systems. In: Rusinowitch, M., Rémy, JL. (eds) Conditional Term Rewriting Systems. CTRS 1992. Lecture Notes in Computer Science, vol 656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56393-8_16

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  • DOI: https://doi.org/10.1007/3-540-56393-8_16

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56393-8

  • Online ISBN: 978-3-540-47549-1

  • eBook Packages: Springer Book Archive

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