Logical Methods in Computer Science (Nov 2023)
The Power-Set Construction for Tree Algebras
Abstract
We study power-set operations on classes of trees and tree algebras. Our main result consists of a distributive law between the tree monad and the upwards-closed power-set monad, in the case where all trees are assumed to be linear. For non-linear ones, we prove that such a distributive law does not exist.
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