Refactoring and Equivalence in Rust: Expanding the REM Toolchain with a Novel Approach to Automated Equivalence Proofs

Refactoring tools are central to modern development, with extract-function refactorings used heavily in day-to-day work. For Rust, however, ownership, borrowing, and advanced type features make automated extract-function refactoring challenging. Existing tools either rely on slow compiler-based analysis, support only restricted language fragments, or provide little assurance beyond "it still compiles." This paper presents REM2.0, a new extract-function and verification toolchain for Rust. REM2.0 works atop rust-analyzer as a persistent daemon, providing low-latency refactorings with a VSCode front-end. It adds a repairer that automatically adjusts lifetimes and signatures when extraction exposes borrow-checker issues, and an optional verification pipeline connecting to CHARON and AENEAS to generate Coq equivalence proofs for a supported Rust subset. The architecture is evaluated on three benchmark suites. On the original REM artefact, REM2.0 achieves 100% compatibility while reducing latency from ~1000ms to single-digit milliseconds in the daemon. On 40 feature-focused extractions from 20 highly starred GitHub repositories, REM2.0 handles most examples involving async/await, const fn, non-local control flow, generics, and higher-ranked trait bounds. On twenty verification benchmarks, the CHARON/AENEAS pipeline constructs end-to-end equivalence proofs for cases within its current subset. Overall, results show that a rust-analyzer-based design can provide fast, feature-rich extract-function refactoring for real Rust programs, while opt-in verification delivers machine-checked behaviour preservation.