The University of Edinburgh -
Division of Informatics
Forrest Hill & 80 South Bridge

Research Paper #600

Title:How to Solve it by Induction
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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