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On second-order iterative monads
2011
Theoretical Computer Science
B. Courcelle studied algebraic trees as precisely the solutions of all recursive program schemes for a given signature in Set. He proved that the corresponding monad is iterative. We generalize this to recursive program schemes over a given finitary endofunctor H of a "suitable" category. A monad is called second-order iterative if every guarded recursive program scheme has a unique solution in it. We construct two second-order iterative monads: one, called the second-order rational monad, S H
doi:10.1016/j.tcs.2011.04.027
fatcat:6kfrfynsdvdonffunsash6b6cu