I've been talking to Hill about the differences between HyperOracle zkOracle and zkCoprocessor.

Finally we have a detailed definition and comparison!

TLDR: zkOracle = zkCoprocessor (historical data access type) + zkCoprocessor (zkVM compute type).

https://mirror.xyz/sevenxventures.eth/_JMWKYVob9x3COlO7V2k71pN_pZORc4DVcByhfU0ZaQ

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The equation will be changing. Stay tuned!