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An ordered resolution and paramodulation calculus for finite many-valued logics

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Book cover Logics in AI (JELIA 1992)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 633))

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Abstract

The paper deals with a graded equality relation for first-order finite many-valued logics with function symbols. The class of interpretations compatible with a graded equality is characterized, thus clarifying the assumptions underlying graded equality. We present also a resolution/ paramodulation calculus for first-order finite many-valued logics including graded equality, this calculus is refined using complete simplification orderings.

This work has been partially supported by the MEDLAR-BRA Esprit project (CEC N∘3125) and the PRC — IA (MRT-CNRS, France).

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D. Pearce G. Wagner

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© 1992 Springer-Verlag Berlin Heidelberg

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Zabel, N. (1992). An ordered resolution and paramodulation calculus for finite many-valued logics. In: Pearce, D., Wagner, G. (eds) Logics in AI. JELIA 1992. Lecture Notes in Computer Science, vol 633. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0023435

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  • DOI: https://doi.org/10.1007/BFb0023435

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55887-3

  • Online ISBN: 978-3-540-47304-6

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