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Why Proof Assistants Improve Assurance
- Formal verification produces machine-checkable proofs against a small trusted kernel, giving high assurance beyond typical testing.
- Proof assistants like Lean compile proofs to a kernel; smaller kernels (Isabelle/HOL) give stronger trust while dependent-type systems (Lean) trade complexity for expressiveness.
Start Verification By Writing A Precise Spec
- When verifying code, first write a clear specification as the theorem you will prove, then connect implementation to that spec.
- Alex Hicks warns that a wrong spec ruins verification more than a hard proof, so invest time in precise specs.
Modeling Real Code Requires Trusting Toolchains
- Translating real-world languages into proof assistants creates a trusted boundary because languages like Rust lack full formal semantics.
- Teams model a Rust subset in Lean or check AST equivalence, but must still trust the Rust compiler, LLVM, and toolchain.