### 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.

Original language | English |
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Pages (from-to) | 65-97 |

Number of pages | 33 |

Journal | Annals of Mathematics and Artificial Intelligence |

Volume | 29 |

Issue number | 1-4 |

Publication status | Published - 2000 |

### Keywords

- Invariant discovery
- Proof patching
- Proof planning
- Strategy development

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## Cite this

Ireland, A., & Stark, J. (2000). Proof planning for strategy development.

*Annals of Mathematics and Artificial Intelligence*,*29*(1-4), 65-97.