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A constructive proof of the heine-borel covering theorem for formal reals

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (1996) 1158 LNCS 62-75
DOI: 10.1007/3-540-61780-9_62
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Abstract

The continuum is here presented as a formal space by means of a finitary inductive definition. In this setting a constructive proof of the Heine-Borel covering theorem is given.

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Cederquist, J., & Negri, S. (1996). A constructive proof of the heine-borel covering theorem for formal reals. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1158 LNCS, pp. 62–75). https://doi.org/10.1007/3-540-61780-9_62

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