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Program Extraction in Constructive Analysis
[chapter]
2009
Logicism, Intuitionism, and Formalism
We sketch a development of constructive analysis in Bishop's style, with special emphasis on low type-level witnesses (using separability of the reals). The goal is to set up things in such a way that realistically executable programs can be extracted from proofs. This is carried out for (1) the Intermediate Value Theorem and (2) the existence of a continuous inverse to a monotonically increasing continuous function. Using the Minlog proof assistant, the proofs leading to the Intermediate Value
doi:10.1007/978-1-4020-8926-8_13
fatcat:nyhngtujmrdadhifdonrhintzi