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A calculus for conditional inductive theorem proving

  • Applications of Conditional Rewriting and New Formalisms
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Book cover 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 describe a calculus for proofs of conditional theorems over algebraic specifications. The main principle used in these proofs is “natural” induction over the structure of terms. Hereby we have to deal with conditional induction hypotheses. The correctness of our calculus can be proved by use of the Natural Deduction Calculus. (This proof is omitted in this short version.)

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References

  1. R.S. Boyer, J.S. Moore: A Computational Logic. Academic Press, 1979.

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  3. D. Duffy: Principles of Automated Theorem Proving. Wiley, 1991.

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  4. U. Fraus, H. Hußmann: A Narrowing-Based Theorem Prover. Proceedings of the IMA Conference, July 1990, University of Stirling, Oxford University Press, 1992.

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  5. M. Wirsing, e.a.: On hierarchies of abstract data types. Acta Informatica 20, 1983.

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Michaël Rusinowitch Jean-Luc Rémy

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© 1993 Springer-Verlag Berlin Heidelberg

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Fraus, U. (1993). A calculus for conditional inductive theorem proving. 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_27

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  • DOI: https://doi.org/10.1007/3-540-56393-8_27

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56393-8

  • Online ISBN: 978-3-540-47549-1

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