The Algebra of Directed Acyclic Graphs
classification
🧮 math.CT
keywords
acyclicdirectedstructureabstractalgebraalgebraiccharacterisedags
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We give an algebraic presentation of directed acyclic graph structure, introducing a symmetric monoidal equational theory whose free PROP we characterise as that of finite abstract dags with input/output interfaces. Our development provides an initial-algebra semantics for dag structure.
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