Division of Informatics

Forrest Hill & 80 South Bridge

## Research Paper #600 | |
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Title: | How to Solve it by Induction |

Authors: | Bundy,A |

Date: | Aug 1992 |

Presented: | In the proceedings of the British Association meeting, Science Festival 92 |

Keywords: | mathematical reasoning, proof plans, mathematical induction, theorem proving |

Abstract: | We describe a computer program that proves theorems using mathematical induction. It is used to prove properties of computer programs. Helpful tips guide the program's search for a proof. These tips are used to form proof plans, which describe the structure of proofs at multiple levels. We are attempting to discover general-purpose proof plans which describe the common structure in families of similar proofs. This study constitutes a new science of reasoning in which mathematical proofs are the objects of analysis. |

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