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The identity monad as a free monad...


scalahaskellmonadscategory-theoryfree-monad

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What is the mathematical theory or theorem underlying join of monad?...


haskellmonadscategory-theory

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The list monad is not a free monad but …...


haskellmonadsagdacategory-theoryfree-monad

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Morphism, product, coproduct operator precedence and associativity...


parsingfunctional-programmingoperatorsoperator-precedencecategory-theory

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Is monad bind (>>=) operator closer to function composition (chaining) or function application...


haskellfunctional-programmingbindmonadscategory-theory

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Are codatatypes really terminal algebras?...


haskelltype-systemscategory-theorycoinduction

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How are Haskell Monad laws derived from Monoid laws?...


haskellmonadscategory-theorymonoids

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Lambda Calculus vs Category theory in FP...


haskellfunctional-programminglambda-calculuscategory-theory

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Is Haskell's `Const` Functor analogous to the constant functor from category theory?...


haskellfunctorcategory-theoryphantom-types

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Reader functor in C++...


c++templateshaskellfunctorcategory-theory

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What is the main difference between Free Monoid and Monoid?...


haskellfunctional-programmingcategory-theorymonoids

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Is there any general functor (not limited to endofunctor) usage in programming?...


javascripthaskellfunctorcategory-theory

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Is every type constructor (`Type -> Type`) some kind of functor...


haskellcategory-theory

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Composing F-Algebra[F, A] to F-Algebra[F, Seq[A]]...


scalafunctional-programmingshapelesscategory-theoryscala-cats

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Why do Static Arrows generalise Arrows?...


haskellapplicativecategory-theoryarrows

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How is `arr fst` a natural transformation?...


haskellfunctorcategory-theoryarrows

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Structurally enforced Free Alternative, without left distributivity...


haskellcategory-theoryfree-monadalternative-functorabstract-algebra

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If MonadPlus is the "generator" class, then what is the "consumer" class?...


loopshaskellcategory-theoryhaskell-pipesmonadplus

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Lax monoidal functors with a different monoidal structure...


haskellfunctorapplicativecategory-theoryalternative-functor

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Is there a Codensity MonadPlus that asymptotically optimizes a sequence of MonadPlus operations?...


haskellmonadscategory-theoryfree-monadmonadplus

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Is every Alternative Monad Filterable?...


haskellfiltermonadscategory-theoryalternative-functor

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Background on Agda Categories library?...


agdacategory-theory

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Recursion scheme allowing dependencies between recursive calls (an ordered catamorphism?)...


haskellfunctional-programmingfoldcategory-theoryrecursion-schemes

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Category Theory fundamentals...


haskellcategory-theory

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Understanding of bifunctor from Category Theory for Programmers - Ch. 8...


haskellfunctional-programmingcategory-theorytype-constructorbifunctor

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Does each type have a unique catamorphism?...


haskellcategory-theorycatamorphism

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What is monoid homomorphism exactly?...


scalahaskellfunctional-programmingcategory-theorymonoids

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How can we build explicit categories in Haskell?...


haskellcategory-theory

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Difference between initial and terminal objects in a category...


haskellfunctional-programmingcategory-theory

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If Either can be either Left or Right but not both, then why does it correspond to OR instead of XOR...


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