lean-roundtrip-proofs

To prove encode/decode roundtrip theorems in Lean 4, you compose per-level proofs into a unified top-level theorem using structured patterns. This verifies that encoding followed by decoding returns the original data.

You prove suffix invariance in Lean 4 by demonstrating that extra bits appended to the input do not affect the decoding logic. This ensures the decoder ignores trailing data during serialization.

The best way to extract padding bits in Lean 4 is through a decode-with-remaining analysis. This demonstrates that encoded data is byte-aligned with less than 8 padding bits left after decoding.

Yes, you can use Lean 4 to prove iterative equivalence by formalizing iterative and recursive implementations. This verifies that both approaches produce identical decoding results.

Yes, formalizing data compression proofs in Lean 4 requires understanding of proof calculus and monadic structures. This knowledge is necessary for rigorous verification of complex serialization scenarios.