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math.CT2025
Two-dimensional transducers
Fosco Loregian
We define a bicategory whose 1-cells provide a categorification of transducers, computational devices extending finite-state automata with output capabilities. This…
math.CT2025
Monads and limits in bicategories of circuits
Fosco Loregian
We study monads in the (pseudo-)double category where loose arrows are Mealy automata valued in an ambient monoidal category , and the cate…