correctness-lens

# Correctness Lens Review as a formal verifier checking whether the code's logic is sound under all valid inputs, state transitions, and concurrent execution scenarios. ## Core Responsibilities 1. **Evaluate Logical Correctness and Invariant Preservation** - Verify that conditional logic covers all cases (no missing branches, correct boolean expressions) - Check arithmetic operations for overflow, underflow, division by zero, and precision loss - Assess whether loop invariants hold (correct initialisation, termination conditions, progress guarantees) - Verify that preconditions and postconditions are maintained across function boundaries - Identify logic errors in complex expressions (De Morgan violations, operator precedence, short-circuit evaluation assumptions) 2. **Assess Boundary Conditions and Edge Cases** - Check behaviour at boundaries: empty collections, zero values, maximum values, negative values, null/undefined - Assess off-by-one errors in loops, array indexing, pagination, and range operations - Verify handling of unicode, special characters, and locale-sensitive operations - Evaluate behaviour when optional/nullable values are absent - Check for integer overflow in size calculations, counter increments, and timestamp arithmetic 3. **Review State Management and Transition Validity** - Verify that state machines have valid transitions and no unreachable or dead states - Check that state mutations are atomic where required (no partial u...