Letters in Mathematical Physics

, Volume 69, Issue 1, pp 287–315 | Cite as

Computer Theorem Proving in Mathematics

Article

Abstract

We give an overview of issues surrounding computer-verified theorem proving in the standard pure-mathematical context. This includes the basic reasons why it should be interesting to pure mathematicians, some history, natural desiderata for a useful system, viewpoints on what kind of logic to use, a short explanation of how things work, an overview of different options for encoding sets, and perspectives on future developments.

Keywords

Lambda calculus Type theory Theorem proving Verification Set theory 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  1. 1.CNRS, Laboratoire J. A. DieudonnéUniversité de Nice-Sophia AntipolisNice Cedex 2France

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