Linearly distributive categories without units satisfy coherence while units can obstruct it; the same holds for Frobenius linearly distributive functors, with a combinatorial reformulation via directed paths in associahedra and multiplihedra.
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Linearly distributive coherence in the absence of units
Linearly distributive categories without units satisfy coherence while units can obstruct it; the same holds for Frobenius linearly distributive functors, with a combinatorial reformulation via directed paths in associahedra and multiplihedra.