Proof Of Logs

Logs are private memories. Proofs are public facts.

A log can be edited. A proof can be verified.

Arch uses proofs to turn local execution into shared reality.

A valid proof must satisfy four properties:

• Unforgeable — falsifying it is harder than executing the task correctly

• Verifiable — any third party can check it cheaply

• Deterministic — the same input always yields the same result

• Minimal — it reveals only what is necessary for settlement

This is why Arch does not push raw data on-chain. Raw data is heavy, expensive, and often private.

Instead, Arch pushes consequences.

Proofs are summaries of truth, not mirrors of reality.

And that is enough to coordinate machines.