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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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
Statebox is building a formally verified process language using robust mathematical principles to prevent errors, allow compositionality and ensure termination.
https://statebox.org/
Gleam: A statically typed language for the Erlang VM
https://gleam.run/
C program proofs with Frama-C and its weakest-precondition plugin
https://allan-blanchard.fr/publis/frama-c-wp-tutorial-en.pdf
The Weak Lambda Calculus as a Reasonable Machine
https://www.di.unito.it/~deligu/CDR60_TCS/Martini.pdf