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cs.LO2026
Convex Biproducts, Stochastic Matrices and Tape Diagrams
Filippo Bonchi, Cipriano Junior Cioffo
Categories with finite biproducts play a central role in category theory, providing an abstract setting in which additive and linear structures can be studied uniformly. In this pa…
cs.LO2026
Completeness for Probabilistic Boolean Tapes
Filippo Bonchi, Cipriano Junior Cioffo
Probabilistic Boolean circuits have recently been proposed as a string-diagrammatic foundation for finite probabilistic programming. In this paper, we present a complete set of axi…
cs.LO2026
Tapes as Stochastic Matrices of String Diagrams
Filippo Bonchi, Cipriano Junior Cioffo
Tape diagrams provide a graphical notation for categories equipped with two monoidal products, and , where is a biproduct. Recently, they have been gener…