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Is there a non-identity monad morphism M ~> M that is monadically natural in M?...


haskellmonadscategory-theory

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How to define free monads and cofree comonads in Lean4?...


haskellmonadscategory-theoryleancomonad

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How can I implement a Functor trait in Rust?...


rustcategory-theory

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Don't understand notation of morphisms in Monoid definition...


haskellcategory-theorymonoids

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Is this property of a functor stronger than a monad?...


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Products and coproducts in posets...


productcategory-theoryposet

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Bifunctors in Haskell vs in category theory...


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Forgetting Cofree annotations using a catamorphism...


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What are free monads?...


haskellmonadscategory-theoryfree-monad

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cats effect evaluates only the final for coprehension and ignores rest...


scalafunctional-programmingscala-catscategory-theorycats-effect

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Is Last a free monoid?...


haskellfunctorcategory-theorymonoids

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Why are monad transformers different to stacking monads?...


haskellmonadsmonad-transformerscategory-theory

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Deriving a monad from a cofree comonad...


haskellcategory-theorycomonad

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How do I prove two applications of the absurd pattern result in the same in Cubical Agda?...


agdacategory-theorycubical-type-theory

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Can one simplify the Codensity monad on Maybe?...


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In Scala cats-laws, why is the functor composition law different from canonical definition?...


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Why doesn't Haskell's `Functor` instance define a "return-like" function?...


haskellcategory-theory

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How to implement memoization in Scala without mutability?...


scalathread-safetyimmutabilitymemoizationcategory-theory

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What does "coalgebra" mean in the context of programming?...


scalahaskellfunctional-programmingcategory-theoryrecursion-schemes

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Relation between `DList` and `[]` with Codensity...


listhaskellcategory-theory

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Naturality of product functor morphisms...


category-theory

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Why Functor class has no return function?...


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A monad is just a monoid in the category of endofunctors, what's the problem?...


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Can `Fix` and `(,)` be seen as functors in some sense?...


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Confused about why all morphisms for a monoid are not the same as the identity morphism...


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Indexed Initial algebras for GADTs...


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How to understand the universal quantification in Yoneda's natural isomorphism?...


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Why are traversals defined over Applicatives, fundamentally?...


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Does the term "Functor" in Prolog have any relation to the term taken from Category Theory...


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Lawvere's fixed point theorem in agda...


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