Synthesis of geometry proof problems

Document Type

Conference Proceeding

Publication Date

1-1-2014

Abstract

This paper presents a semi-automated methodology for generating geometric proof problems of the kind found in a high-school curriculum. We formalize the notion of a geometry proof problem and describe an algorithm for generating such problems over a user-provided figure. Our experimental results indicate that our problem generation algorithm can effectively generate proof problems in elementary geometry. On a corpus of 110 figures taken from popular geometry textbooks, our system generated an average of about 443 problems per figure in an average time of 4.7 seconds per figure.

Publication Source (Journal or Book title)

Proceedings of the National Conference on Artificial Intelligence

First Page

245

Last Page

252

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