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www.hillelwayne.com | ||
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homotopytypetheory.org
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| | | | | Thierry Coquand and I have proved that, for a large class of algebraic structures, isomorphism implies equality (assuming univalence). A class of algebraic structures Structures in this class consist of a type, some operations on this type, and propositional axioms that can refer to operations and other axioms. N-ary functions are defined in the following... | |
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jiggerwit.wordpress.com
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| | | | | What follows are the opening paragraphs of a pdf document giving an argument for controlled natural languages in mathematics. At the recent Big Proof 2 conference in Edinburgh, I realized that a case must be made for developing a controlled natural language for mathematics. There is little consensus on this issue, and mathematicians and computer... | |
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xenaproject.wordpress.com
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| | | | | A huge amount happened in the Lean theorem prover community in 2023; this blog post looks back at some of these events, plus some of what we have to look forward to in 2024. Modern mathematics I personally am a member of the Lean community because of its phenomenal mathematics library mathlib, which was born... | |
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jdh.hamkins.org
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| | | I'd like to share a simple proof I've discovered recently of a surprising fact: there is a universal algorithm, capable of computing any given function! Wait, what? What on earth do I ... | ||
