June 2001
Intermediate to advanced
2128 pages
82h 43m
English
Content preview from Handbook of Automated Reasoning
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7 Rippling
Rippling is a difference reduction technique developed for induction proofs. It provides a partial solution to many of the special search control problems described in Section 6, page 865 above. Aubin was the first to notice a common pattern in the rewriting of step cases, [Aubin 1976]. In [Bundy 1988] it was proposed to use this pattern to drive the rewriting process and implementations of this proposal were first reported in [Bundy, van Harmelen, Smaill and Ireland 1990, Stevens, Ireland and Smaill 1993, Hutter 1990].
7.1 Rippling Out
Aubin observed that during the step case the differences between the induction conclusion and the induction hypothesis ripple-out of the induction conclusion, leaving a complete copy of the induction ...
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