Zero-Knowledge Proofs Beyond Transactions: Can We Prove Processes Instead of Just Data?

I've looked thru the discussion on r/Crypto on Zero-Knowledge, and I think there are so many angles to this topic that lots of users could chime in on the conversation. Most ZK conversations focus on transactions, hiding balances, scaling rollups, or anonymous IDs. But what if Zero-Knowledge could move from *data privacy* to *process privacy*?

These are the examples that come to mind:

* A factory tool proving it ran within tolerance, without exposing raw telemetry. (given the factory has an SPC database)
* A cloud system proving it’s alive and consistent, without leaking logs.
* An algorithm proving drift/liveness checks passed, without sharing internal state.

This shifts ZK from “prove I know this secret” to “prove this system behaved correctly.” Could ZK evolve into *process-level proofs*? Or is that too far outside its cryptographic roots?