Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
A language for mathematical knowledge management
 

Summary: A language for mathematical
knowledge management
Steven Kieffer1
, Jeremy Avigad2
, and Harvey Friedman3
1
Simon Fraser University
2
Carnegie Mellon University
3
Ohio State University
Abstract. We argue that the language of Zermelo Fraenkel set the-
ory with definitions and partial functions provides the most promising
bedrock semantics for communicating and sharing mathematical knowl-
edge. We then describe a syntactic sugaring of that language that pro-
vides a way of writing remarkably readable assertions without straying
far from the set-theoretic semantics. We illustrate with some examples of
formalized textbook definitions from elementary set theory and point-set
topology. We also present statistics concerning the complexity of these
definitions, under various complexity measures.

  

Source: Andrews, Peter B. - Department of Mathematical Sciences, Carnegie Mellon University

 

Collections: Mathematics