XYPHERS THEORY OF AIM REPRODUCTION The verifier needs only a Rust toolchain. It has no external dependencies. In a release build the test takes a few seconds and the run about fifteen minutes. From source/xypher-theory-of-aim-proof/: cargo test --release --locked cargo run --release --locked --quiet The report is 104 lines: the gates G01-G12, the controls C01-C09 with where each failed, one line per world and agent with the exact edge E, the frozen prediction E_th and their ratio, then the five hypothesis verdicts, and it ends: OVERALL PASS To compare the whole report with the recorded run: cargo run --release --locked --quiet | diff ../../expected-report.txt - No output from diff means your run reproduced the recorded report exactly. Its SHA-256 is 76685af36d4a0dbde32ef41d1734ca7249a429bbe2556e6fe8e9de00bb5816dc The independent check needs only Python 3 (with python-flint it takes about fifteen seconds; with the standard library alone, about ninety minutes). From this directory: python3 independent_check.py expected-report.txt theory/predictions_cef5.txt It prints one line per world and agent, then H and J agree with the frozen report in 76 of 76 steady states and the five verdicts, as in expected-independent-check.txt. The theory itself needs Python 3 with numpy. From theory/: python3 predictions_cef5.py reproduces predictions_cef5.txt. Reproduction boundary This is an exact replay of a frozen finite construction. A passing replay reproduces the recorded result; the scope is the one stated in README.txt.