Under stated categorical hypotheses, any spined structured-decomposition theory lifts to a temporal theory on persistent narratives, recovering temporal tree-width, complemented tree-width, and tree-independence number.
Structured and Decorated Cospans from the Viewpoint of Double Category Theory
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Decomposing time-varying data into simple pieces: structured decompositions of narratives
Under stated categorical hypotheses, any spined structured-decomposition theory lifts to a temporal theory on persistent narratives, recovering temporal tree-width, complemented tree-width, and tree-independence number.