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A Language for Mathematical Knowledge Management

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journal contribution
posted on 2008-01-01, 00:00 authored by Steven Kieffer, Jeremy AvigadJeremy Avigad, Harvey Friedman
We argue that the language of Zermelo Fraenkel set theory with definitions and partial functions provides the most promising bedrock semantics for communicating and sharing mathematical knowledge. We then describe a syntactic sugaring of that language that provides 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.


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