category-extras-0.53.6: Various modules and constructs inspired by category theoryContentsIndex
Control.Functor.KanExtension.Interpreter
Portabilitynon-portable (rank-2 polymorphism)
Stabilityexperimental
MaintainerEdward Kmett <ekmett@gmail.com>
Description
Ghani and Johann's Interp/InterpT types from ''Initial Algebra Semantics is Enough!'' http://crab.rutgers.edu/~pjohann/tlca07-rev.pdf and its dual.
Documentation
type Interpreter y g h = y :~> Ran g h
type InterpreterT f g h = forall y. Functor y => Interpreter y g h -> Interpreter (f y) g h
interpreterAlgebra :: InterpreterT f g h -> HAlgebra f (Ran g h)
algebraInterpreter :: HFunctor f => HAlgebra f (Ran g h) -> InterpreterT f g h
type Cointerpreter y g h = Lan g h :~> y
type CointerpreterT f g h = forall y. Functor y => Cointerpreter y g h -> Cointerpreter (f y) g h
cointerpreterCoalgebra :: CointerpreterT f g h -> HCoalgebra f (Lan g h)
coalgebraCointerpreter :: HFunctor f => HCoalgebra f (Lan g h) -> CointerpreterT f g h
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