lean-roundtrip-proofs

To prove PNG images roundtrip successfully in Lean 4, generate roundtrip theorems that formally verify encoding and decoding processes are inverses of each other, ensuring data integrity throughout the transformation cycle.

A roundtrip theorem in formal verification proves that a decoding process perfectly reconstructs the original data from its encoded form. This Skill uses Lean 4 to generate these theorems for PNG image data integrity.

Appending extra bits to a PNG decoder input does not affect the decoded result due to suffix invariance. This Skill demonstrates this property within Lean 4 roundtrip proofs, ensuring decoding robustness against trailing data.

Extract padding and framing data in Lean 4 using the goR pattern. This decoding pattern manages remaining bits, allowing you to formally verify that appended suffixes and padding maintain original PNG data integrity.

Yes, you can use Lean 4 to verify PNG image encoding without losing data. This Skill generates formal roundtrip theorems that mathematically prove your encoding and decoding processes preserve complete data integrity.

The limitations of proving PNG roundtrip theorems in Lean 4 depend on the complexity of your encoding and decoding processes. This Skill focuses specifically on formal verification for PNG image data integrity and suffix invariance.