Rippling in PVS

Adams, Andrew A. and Dennis, Louise Abigail (2003) Rippling in PVS. In: Design and Application of Strategies/Tactics in Higher Order Logics (STRATA 2003), September 8, 2003, Rome, Italy.

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Abstract

Rippling is a method of controlling rewriting of the terms in an induction step of an inductive proof, to ensure that a position is reached whereby the induction hypothesis can be applied.

Rippling was developed primarily by the Mathematical Reasoning Group at the University of Edinburgh. The primary implementations are in the two proof planning systems Clam and Lambda-Clam. An implementation is also available in HOL. In this paper we explain how we plan to implement rippling as a tactic for automatic generation of proofs requiring induction in PVS.

Rippling has mostly been used as part of a larger project for developing high-level proof strategies, but has rarely been applied

to $quot;real-world$quot; examples. Once we have this implementation we intend to assess the utility of this as a tactic by running rippling on the large number of inductive proofs developed by Gottliebsen as part of the PVS Real Analysis library.

By comparing the performance of the automation offered by rippling on these proofs with the original proof, which were proved by a combination

of hand-generation of proofs and by existing PVS strategies, we hope to assess the utility of rippling as a technique for real-world applications.

Item Type: Conference or Workshop Item (Paper)
Additional Information: NASA Technical Report CP-2003-212448
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Computer Science
Depositing User: Dennis, Louise Abigail
Date Deposited: 24 Nov 2005
Last Modified: 09 Oct 2007 15:51
URI: http://eprints.nottingham.ac.uk/id/eprint/320

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