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Induction using term orderings

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Automated Deduction — CADE-12 (CADE 1994)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 814))

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Abstract

We present a procedure for proving inductive theorems which is based on explicit induction, yet supports mutual induction. Mutual induction allows the postulation of lemmas whose proofs use the theorems ex hypothesi while the theorems themselves use the lemmas. This feature has always been supported by induction procedures based on Knuth-Bendix completion, but these procedures are limited by the use of rewriting (or rewriting-like) inferences. Our procedure avoids this limitation by making explicit the implicit induction realized by these procedures. As a result, arbitrary deduction mechanisms can be used while still allowing mutual induction.

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Authors and Affiliations

  1. The University of Illinois at Urbana-Champaign, USA

    Francois Bronsard, Uday S. Reddy & Robert W. Hasker

Authors
  1. Francois Bronsard
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  2. Uday S. Reddy
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  3. Robert W. Hasker
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Corresponding author

Correspondence to Francois Bronsard .

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Alan Bundy

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© 1994 Springer-Verlag Berlin Heidelberg

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Bronsard, F., Reddy, U.S., Hasker, R.W. (1994). Induction using term orderings. In: Bundy, A. (eds) Automated Deduction — CADE-12. CADE 1994. Lecture Notes in Computer Science, vol 814. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58156-1_8

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  • DOI: https://doi.org/10.1007/3-540-58156-1_8

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  • Print ISBN: 978-3-540-58156-7

  • Online ISBN: 978-3-540-48467-7

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