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A narrowing-based theorem prover

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Programming Language Implementation and Logic Programming (PLILP 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 528))

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Abstract

This work presents a theorem prover for inductive proofs within an equational theory which supports the verification of universally quantified equations. This system, called TIP, is based on a modification of the well-known narrowing algorithm. Particulars of the implementation are stated and practical experiences are summarized.

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References

  1. U. Fraus, H. Hußmann: A Narrowing-Based Theorem Prover. Proceedings of the IMA Conference on "The Unified Comutation Laboratory", July 1990, University of Stirling (Scotland), Oxford University Press, to appear 1991.

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  2. J. V. Guttag: The specification and application to programming of abstract data types. Ph. D. thesis, University of Toronto, Toronto, 1975.

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  3. U. S. Reddy: Term Rewriting Induction. CADE 10, Lecture Notes in Computer Science 249, 1990, 162–177.

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  4. M. Wirsing, P. Pepper, H. Partsch, W. Dosch, M. Broy: On hierarchies of abstract data types. Acta Informatica 20, 1983, 1–33.

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Jan Maluszyński Martin Wirsing

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© 1991 Springer-Verlag Berlin Heidelberg

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Fraus, U., Hußmann, H. (1991). A narrowing-based theorem prover. In: Maluszyński, J., Wirsing, M. (eds) Programming Language Implementation and Logic Programming. PLILP 1991. Lecture Notes in Computer Science, vol 528. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54444-5_118

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  • DOI: https://doi.org/10.1007/3-540-54444-5_118

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54444-9

  • Online ISBN: 978-3-540-38362-8

  • eBook Packages: Springer Book Archive

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