Pure & constructive mathematics in theory and use – Telegram
Pure & constructive mathematics in theory and use
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Just resources about fundamental mathematics, type theory, their use in programming mostly.
Contact: @megamanisepic
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The Axiom of Countable Choice in Topology
http://www.mat.uc.pt/~ggutc/teses/teseingles.pdf
Diagram Generator for Consequences of the Axiom of Choice
https://cgraph.inters.co/
Categorical Programming with Inductive and Coinductive Types
https://kodu.ut.ee/~varmo/papers/thesis.pdf
Formal Derivation of a Scheme Computer
https://legacy.cs.indiana.edu/ftp/techreports/TR544.pdf
Slightly off topic, but somewhat interesting
Design Patterns as Higher-Order Datatype-Generic Programs
http://www.cs.ox.ac.uk/jeremy.gibbons/publications/hodgp.pdf
Logic-Free Formalisations of Recursive Arithmetic
https://www.mscand.dk/article/view/10412/8433
Purely Functional Data Structures
http://www.cs.cmu.edu/~rwh/theses/okasaki.pdf
About the completeness of a certain system of integer arithmetic in which addition is the only operation (translated, with additional remarks)
https://cs.fit.edu/~ryan/papers/presburger.pdf
Complexity Hierarchies beyond ELEMENTARY
https://arxiv.org/pdf/1312.5686.pdf