cascade.md

---
alias: cascades
tags: cyber
crystal-type: entity
crystal-domain: cyber
---
a cascade is a multiparty interactive async pattern where a lead neuron declares an intent and subscribers self-organize into coordinated sub-signals

cascade = (lead_intent, sub_signals[], parent_signal)

| component | role |
|-----------|------|
| lead intent | intent broadcast by the lead neuron with open scope |
| sub-signals | signals produced by participating neurons in response |
| parent signal | sealed by the lead; includes recursive zheng proof over all sub-signals |

the cascade protocol:

1. lead neuron declares intent with scope that invites participation
2. subscribers observe the intent in the cybergraph at inception height
3. each subscriber self-assigns, produces their own sub-signal
4. lead neuron collects sub-signals and seals a parent signal with a recursive zheng proof covering the entire cascade
5. verifiers run `decide(σ_parent)` — one $O(\log n)$ check covers all contributions

the recursive proof is what makes cascade composable: a cascade can itself be a sub-signal in a larger cascade, and the proof size stays $O(\log n)$ at every level

cascades enable large-scale coordination while preserving the atomicity and verifiability of individual signals. participants do not need to trust the lead neuron — the proof speaks for the collective computation

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