Understanding F-Algebras
https://www.schoolofhaskell.com/user/bartosz/understanding-algebras
https://www.schoolofhaskell.com/user/bartosz/understanding-algebras
Code and resources for "Handbook of Practical Logic and Automated Reasoning"
https://www.cl.cam.ac.uk/~jrh13/atp/
https://www.cl.cam.ac.uk/~jrh13/atp/
It Is What It Is (And Nothing Else) | Existential Type
https://existentialtype.wordpress.com/2016/02/22/it-is-what-it-is-and-nothing-else/
https://existentialtype.wordpress.com/2016/02/22/it-is-what-it-is-and-nothing-else/
Existential Type
It Is What It Is (And Nothing Else)
A recent discussion of introductory computer science education led to the topic of teaching recursion. I was surprised to learn that students are being taught that recursion requires understanding…
Category Theory for Programmers: OCaml Edition Officially Released
https://github.com/hmemcpy/milewski-ctfp-pdf/releases/tag/v1.4.0-rc1
https://github.com/hmemcpy/milewski-ctfp-pdf/releases/tag/v1.4.0-rc1
GitHub
Release The OCaml edition! · hmemcpy/milewski-ctfp-pdf
It's here! The first release of the OCaml edition of Category Theory for Programmers!
Huge thanks to @ArulselvanMadhavan for contributing the code snippets!
Huge thanks to @ArulselvanMadhavan for contributing the code snippets!
Clowns to the Left of me, Jokers to the Right
http://strictlypositive.org/CJ.pdf
http://strictlypositive.org/CJ.pdf
Demystifying Differentiable Programming: Shift/Reset the Penultimate Backpropagator
https://arxiv.org/abs/1803.10228
[Thanks to Elias]
https://arxiv.org/abs/1803.10228
[Thanks to Elias]
Brouwer's fixed-point theorem in real-cohesive homotopy type theory
https://arxiv.org/abs/1509.07584
https://arxiv.org/abs/1509.07584
arXiv.org
Brouwer's fixed-point theorem in real-cohesive homotopy type theory
We combine Homotopy Type Theory with axiomatic cohesion, expressing the latter internally with a version of "adjoint logic" in which the discretization and codiscretization modalities are...
Internal Universes in Models of Homotopy Type Theory
https://arxiv.org/abs/1801.07664
https://arxiv.org/abs/1801.07664
Recovering Purity with Comonads and Capabilities
https://arxiv.org/pdf/1907.07283.pdf
https://arxiv.org/pdf/1907.07283.pdf
Surreal Ordered Exponential Fields
https://arxiv.org/pdf/2002.07739.pdf
https://arxiv.org/pdf/2002.07739.pdf
Non-distributive Logics: From Semantics to Meaning
https://arxiv.org/pdf/2002.04257.pdf
https://arxiv.org/pdf/2002.04257.pdf
Mathematical Structures
http://math.chapman.edu/~jipsen/structures/doku.php
An extremely comprehensive list.
http://math.chapman.edu/~jipsen/structures/doku.php
An extremely comprehensive list.
Polygroups Derived from Cogroups
https://core.ac.uk/download/pdf/82131375.pdf
https://core.ac.uk/download/pdf/82131375.pdf
Advanced Programming Languages: The Case for Haskell, Scala, SML/OCaml, and Scheme
http://matt.might.net/articles/best-programming-languages
http://matt.might.net/articles/best-programming-languages
Promonads, Arrows, and Einstein Notation for Profunctors
https://bartoszmilewski.com/2019/03/27/promonads-arrows-and-einstein-notation-for-profunctors/
https://bartoszmilewski.com/2019/03/27/promonads-arrows-and-einstein-notation-for-profunctors/
Functional Programming in OCaml
Spring 2020 Edition
https://www.cs.cornell.edu/courses/cs3110/2020sp/textbook/
Spring 2020 Edition
https://www.cs.cornell.edu/courses/cs3110/2020sp/textbook/
Miranda, the predecessor of Haskell, is now free software
https://www.cs.kent.ac.uk/people/staff/dat/miranda/
https://www.cs.kent.ac.uk/people/staff/dat/miranda/
www.cs.kent.ac.uk
Miranda homepage
The Miranda functional programming system homepage
Linear Logic for Constructive Mathematics
https://golem.ph.utexas.edu/category/2018/05/linear_logic_for_constructive.html
https://golem.ph.utexas.edu/category/2018/05/linear_logic_for_constructive.html