Monoidal Streams

Abstract: We introduce monoidal streams: a generalization of causal stream functions to monoidal categories. In the same way that streams provide semantics to dataflow programming with pure functions, monoidal streams provide semantics to dataflow programming with theories of processes represented by a symmetric monoidal category. At the same time, monoidal streams form a feedback monoidal category, which can be used to interpret signal flow graphs. As an example, we study a stochastic dataflow language. This is joint work with Elena Di Lavore and Giovanni de Felice, following the preprint "Monoidal Streams for Dataflow Programming" (https://arxiv.org/abs/2202.02061).

category theory

Audience: researchers in the topic

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Intercats: Seminar on Categorical Interaction