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Syntactic composition of top-down tree transducers is short cut fusion
2004
Mathematical Structures in Computer Science
We compare two deforestation techniques: short cut fusion formalized in category theory and the syntactic composition of tree transducers. The former strongly depends on types and uses the parametricity property or free theorem whereas the latter makes no use of types at all and allows more general compositions. We introduce the notion of a categorical transducer which is a generalization of a catamorphism and show a respective fusion result which is a generalization of the 'acid rain theorem'.
doi:10.1017/s0960129503004109
fatcat:dhi7qbfivrg7nnmxy7t76m6eca