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Register a new userA Computer Verified Theory of Compact Sets
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Added by
Russell O'Connor
Publication date
2008
fields
Informatics Engineering
and research's language is
English
Authors
Russell OConnor
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Compact sets in constructive mathematics capture our intuition of what computable subsets of the plane (or any other complete metric space) ought to be. A good representation of compact sets provides an efficient means of creating and displaying images with a computer. In this paper, I build upon existing work about complete metric spaces to define compact sets as the completion of the space of finite sets under the Hausdorff metric. This definition allowed me to quickly develop a computer verified theory of compact sets. I applied this theory to compute provably correct plots of uniformly continuous functions.
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