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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A Mechanization of the Blakers-Massey Connectivity Theorem in Homotopy Type Theory
https://arxiv.org/pdf/1605.03227
A Verified Implementation of Algebraic Numbers in Isabelle/HOL
https://link.springer.com/content/pdf/10.1007/s10817-018-09504-w.pdf
Quantum Programming with Inductive Datatypes: Causality and Affine Type Theory
https://arxiv.org/pdf/1910.09633.pdf
Self Types for Dependently Typed Lambda Encodings
http://homepage.cs.uiowa.edu/~astump/papers/fu-stump-rta-tlca-14.pdf
Defining functions on equivalence classes
https://arxiv.org/pdf/1907.07591.pdf
Relational Parametricity and Quotient Preservation forModular (Co)datatypes
http://www.andreas-lochbihler.de/pub/lochbihlerschneider2018.pdf
Mathematical Foundations to Automata Theory
https://www.irif.fr/~jep//PDF/MPRI/MPRI.pdf
Introduction to Automation Theory, Languages, and Computation
https://bit.ly/2QS9C12
[sorry for shortlinking, but the actual link is pretty long)
Monoidal Functors, Species and Hopf Algebras
http://pi.math.cornell.edu/~maguiar/a.pdf
Succinctness of the Complement and Intersection of Regular Expressions
https://drops.dagstuhl.de/opus/volltexte/2008/1354/pdf/22011.GeladeWouter.Paper.1354.pdf
Higher Category Models of the Pi-Calculus
https://arxiv.org/pdf/1504.04311.pdf