Ascertaining Mathematical Theorems

R. McCasland, Alan Bundy, P. Smith

Research output: Contribution to journalArticlepeer-review

Abstract

Whereas to most logicians, the word "theorem" refers to any statement which has been shown to be true, to mathematicians, the workd "Theorem" is, relatively speaking, rarely applied, and denotes something fra more special. In this paper, we examine some of the underlying reasons behind this difference in terminology, and we show how this discrepancy might be exploited, in order to build a computer system which automatically selects the latter type of "Theorems" from amongst the former. Indeed, we have begun building the automated discovery system MATHsAiD, the design of which is based upon our research. We provide some preliminary results produced by this system, and compare these results to Theorems appearing in various mathematics textbooks.
Original languageEnglish
Pages (from-to)21-38
Number of pages18
JournalElectronic Notes in Theoretical Computer Science
Volume151
Issue number1
DOIs
Publication statusPublished - 2006

Keywords

  • automated theorem generation
  • Mathematical Reasoning

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