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Proof planning for strategy development

Proof planning for strategy development Proof planning extends the tactic-based theorem proving paradigm through the explicit representation of proof strategies. We see three key benefits to the proof planning approach to the development of proof strategies: flexibility, re-usability and synergy. Here we demonstrate these benefits in terms of reasoning about imperative programs where we reuse strategies developed previously for proof by mathematical induction. In particular, we focus upon strategies for automating the discovery of loop invariants. Our approach tightly couples the discovery of invariants with the process of patching proof strategy failures. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Mathematics and Artificial Intelligence Springer Journals

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References (58)

Publisher
Springer Journals
Copyright
Copyright © 2000 by Kluwer Academic Publishers
Subject
Computer Science; Computer Science, general; Artificial Intelligence (incl. Robotics); Mathematics, general; Complexity
ISSN
1012-2443
eISSN
1573-7470
DOI
10.1023/A:1018969728171
Publisher site
See Article on Publisher Site

Abstract

Proof planning extends the tactic-based theorem proving paradigm through the explicit representation of proof strategies. We see three key benefits to the proof planning approach to the development of proof strategies: flexibility, re-usability and synergy. Here we demonstrate these benefits in terms of reasoning about imperative programs where we reuse strategies developed previously for proof by mathematical induction. In particular, we focus upon strategies for automating the discovery of loop invariants. Our approach tightly couples the discovery of invariants with the process of patching proof strategy failures.

Journal

Annals of Mathematics and Artificial IntelligenceSpringer Journals

Published: Oct 1, 2004

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