Plain English
Formal verification uses mathematical proof to verify that a smart contract implements its specification — not just “it passes tests,” but “it cannot do anything outside the defined behavior.” Used by the highest-stakes protocols: MakerDAO, Compound, Aave, certain Bitcoin and Ethereum core changes.
How it actually works
The team writes a formal specification of what the contract should do, then a tool (Certora, K Framework, Coq) attempts to prove that the implementation satisfies the spec under all possible inputs. The output is either a proof or a counterexample. Formal verification is expensive (weeks of engineer time) and limited to bounded properties, but catches entire categories of bugs that testing cannot.
What it means for you
Few protocols can afford full formal verification, but it is a strong signal of seriousness. For protocols holding multi-billion-dollar TVL — lending markets, stablecoin reserves, large bridges — formal verification on critical paths should be table stakes. Look for it explicitly in DD on protocols where you are depositing size.
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