Algebraic Topology
https://pi.math.cornell.edu/~hatcher/AT/AT.pdf
https://pi.math.cornell.edu/~hatcher/AT/AT.pdf
Non-commutative Logic I: the Multiplicative Fragment
https://static.aminer.org/pdf/PDF/000/753/432/non_commutative_logic_i_the_multiplicative_fragment.pdf
https://static.aminer.org/pdf/PDF/000/753/432/non_commutative_logic_i_the_multiplicative_fragment.pdf
A Formally Verified Abstract Account of Gödel's Incompleteness Theorems
https://www21.in.tum.de/~traytel/papers/cade19-incompleteness/incompleteness.pdf
https://www21.in.tum.de/~traytel/papers/cade19-incompleteness/incompleteness.pdf
4_5831262430465884843.pdf
218.5 KB
Corecursion and coinduction: how they relate to recursion and induction
Three Equivalent Ordinal Notation Systems in Cubical Agda
https://arxiv.org/pdf/1904.10759.pdf
https://arxiv.org/pdf/1904.10759.pdf
Ordinals and Interactive Programs
https://pdfs.semanticscholar.org/89c9/a2bca07752f9ed631c304bad8c34c2b163a2.pdf
https://pdfs.semanticscholar.org/89c9/a2bca07752f9ed631c304bad8c34c2b163a2.pdf
4_5862880936021983758.pdf
1 MB
Fundamental Theorems in Mathematics (2019)
A tutorial implementation of a dependently typed Lambda Calculus
https://www.andres-loeh.de/LambdaPi/LambdaPi.pdf
[Thanks to Elias]
https://www.andres-loeh.de/LambdaPi/LambdaPi.pdf
[Thanks to Elias]
Self-Verifying Axiom Systems, the Incompleteness Theorem and Related Reflection Principles
https://www.cs.albany.edu/~dew/m/jsl1.pdf
https://www.cs.albany.edu/~dew/m/jsl1.pdf
Summary of Truth about Types
https://rakhim.org/summary-of-truth-about-types-a-talk-by-bartosz-milewski/
https://rakhim.org/summary-of-truth-about-types-a-talk-by-bartosz-milewski/
Categorical Semantics of Digital Circuits
https://www.cs.bham.ac.uk/~drg/papers/fmcad16.pdf
[Thanks to Victor]
https://www.cs.bham.ac.uk/~drg/papers/fmcad16.pdf
[Thanks to Victor]
Semantics of higher inductive types
https://arxiv.org/abs/1705.07088
https://arxiv.org/abs/1705.07088
Higher Inductive Types in Cubical Computational Type Theory
https://dl.acm.org/doi/pdf/10.1145/3290314
https://dl.acm.org/doi/pdf/10.1145/3290314
Ask @ice1000 anything about higher inductive types. Currently he's studying it in-depth. He'll be interested in explaining things to you.
Category Theory for Programmers
https://bartoszmilewski.com/2014/10/28/category-theory-for-programmers-the-preface/
https://bartoszmilewski.com/2014/10/28/category-theory-for-programmers-the-preface/
Bartosz Milewski's Programming Cafe
Category Theory for Programmers: The Preface
Table of Contents Part One Category: The Essence of Composition Types and Functions Categories Great and Small Kleisli Categories Products and Coproducts Simple Algebraic Data Types Functors Functo…
Easy.pdf
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Simple Easy! An implementation of dependent type lambda calculus
Summary of Truth about Types, a talk by Bartosz Milewski
https://rakhim.org/summary-of-truth-about-types-a-talk-by-bartosz-milewski/
https://rakhim.org/summary-of-truth-about-types-a-talk-by-bartosz-milewski/
Graph Representations for Higher-Order Logic and Theorem Proving
https://arxiv.org/abs/1905.10006
https://arxiv.org/abs/1905.10006
Generative Language Modeling for Automated Theorem Proving
https://arxiv.org/pdf/2009.03393.pdf
https://arxiv.org/pdf/2009.03393.pdf
Towards Finding Longer Proofs
https://arxiv.org/pdf/1905.13100.pdf
https://arxiv.org/pdf/1905.13100.pdf