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A Language for Mathematical Knowledge Steve Kieffer
 

Summary: A Language for Mathematical Knowledge
Management
Steve Kieffer
September 2, 2007
Acknowledgements
This work would not have been possible without the patience and guidance of my
advisor Jeremy Avigad, or without ideas which came both from him and from Harvey
Friedman.
I am also grateful for thoughtful comments and revisions from Joe Ramsey.
Thanks also to my parents, who were indispensable in preparing and practicing a talk
on this material.
It is dedicated to my brother Matt, who would have insisted this be published in
fanzine format if he were still with us today.
Contents
1 Introduction 1
2 LPT, the Language of Proofless Text 7
2.1 Syntax . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.1.1 Terms and Formulas . . . . . . . . . . . . . . . . . . . . . . . 7
2.1.2 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
2.2 Special Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

  

Source: Avigad, Jeremy - Departments of Mathematical Sciences & Philosophy, Carnegie Mellon University

 

Collections: Multidisciplinary Databases and Resources; Mathematics