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> Since in a cartesian closed category every monad is lax monoidal
This is not true. A *strong* monad inherits a lax monoidal structure, and every monad on a self-enriched category is strong (as a …
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# Object
Proposal for an hypergraph type checker.
# Motivation
The current type system is too limiting and doesn't allow to overload
operators. Here's an example when using PLN Or/And rules.
For in…
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Even with spell-guessing enabled, the sentence " Therefo, I declare I love Computer Science" is not fixed. However, the lower-case version of this works fine. I suggest that spell-guessing should do…
linas updated
7 years ago
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How much of the categories library works when truncation is removed from the definition of category?
The reason I ask is because I would like to use some of this category theory, but I can't since …
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EvaluationMorphism is derived as the counit of the tensor-hom adjunction:
https://github.com/homalg-project/CAP_project/blob/39f43d3fb99140ece7a745f702289e7b9a71d1c1/MonoidalCategories/gap/SymmetricC…
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```purs
class Foo a
instance equatableFoo :: (Eq a) => Foo a
data Bar = Bar
instance barFoo :: Foo Bar
```
Given that there is no `Eq Bar` instance, should these two instances be allowed? Pu…
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```
gap> LoadPackage( "Algebroids" : OnlyNeeded );
Loading AutoDoc 2022.10.20 (Generate documentation from GAP source code)
Loading Gauss 2023.02-04 (Extended Gauss functionality for GAP)
Loading …
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When I define the theory of monoidal categories, I want to be able to use \otimes for both object composition and morphism composition. I should be able to use type inference to figure out which one I…
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I recently discovered this library and the papers behind it and I was blown away. Great work!
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I know this is ambitious but I want YAML, with its [representation graph](https://yaml.org/spec/…
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I have seen on nLab that `IsDistributiveCategory` is standard terminology for a bicartesian category with a distributivity law for products and coproducts. I would still suggest to call it `IsDistribu…