Infinite-Players / validation /EXECUTION_AUDIT.md
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Execution audit — Infinite Players 3.0.0

Date: 18 October 2026. The uploaded source was copied to verification_run before any execution. The original source/Infinite_Players_Final directory was not edited. Fresh output is in verification_output.

Validation outcome

All requested numerical checks completed successfully. This is fresh local source execution, not external replication, peer review, real-player validation, or proof-assistant verification.

Check Fresh result
Supplied research file manifest 82/82 files verified
New unit tests 50/50 passed
New deterministic reference assets 32/32 SHA-256 hashes matched
Preserved v2 unit tests 22/22 passed
Preserved v2 reference assets 14/14 SHA-256 hashes matched
Standalone RUN_DEMO.py Passed

Exact command from verification_run:

python VERIFY_RELEASE.py
python REPRODUCE.py --output /workspace/scratch/2533268896e4/verification_output --legacy
python RUN_DEMO.py --output /workspace/scratch/2533268896e4/standalone_demo_output

Environment and dependency qualification

Fresh runtime: Python 3.12.14; NumPy 2.3.5; SciPy 1.17.0; Matplotlib 3.10.8; Linux x86-64/glibc 2.39; single-threaded numerical libraries; no accelerator. The supplied environment records Python 3.13.5/glibc 2.41. All 32 deterministic assets match despite that difference. The generated upstream reproduction report uses a hard-coded “same-environment” description; this audit records the actual environment.

Recommended Hugging Face quickstart: Python 3.11+ for requirements-locked.txt. Both locked NumPy and SciPy declare Python >=3.11. The broad Python >=3.10 declaration can use older compatible dependencies from requirements.txt, but Python 3.10 was not exercised here. Dependencies were already installed; no fresh pip installation was needed or claimed.

Primary finite arena

Mean normalized discounted value is averaged over six initial ground states and 16 arena seeds. Semantic total variation is exact enumeration of the six-step semantic law from ground state zero. The paired intervals are descriptive t intervals over 16 seeds; they are not evidence for a larger real-game population.

Controller Mean normalized value Gain versus source Paired 95% gain interval Mean six-step semantic TV
source_anchor 0.511568389 0.000000000 [0.000000000, 0.000000000] 0
path_shield_LP 0.642582819 0.131014430 [0.116648674, 0.145380186] 4.30286e-16
conditional_class_only 0.731438499 0.219870110 [0.209962867, 0.229777353] 0.483658
unconstrained 0.823908873 0.312340484 [0.293457438, 0.331223529] 0.856473
nullspace_24_updates 0.605199312 0.093630923 [0.083067074, 0.104194772] 2.30614e-14

The constrained LP optimum improves value within the protected semantic-law fiber. Weaker constraints allow higher return and substantially more semantic drift. The 24 projected-Q updates remain below the constrained LP ceiling.

Sequence inference

Events per record Records Operator-tree accuracy Full-HMM replay accuracy Paired-product accuracy
8 1000 93.6% 93.6% 91.0%
16 1000 97.5% 97.5% 96.2%
32 1000 99.9% 99.9% 99.7%

The maximum posterior difference between tree and independently implemented full replay is 5.3290705182007514e-15 across 3,000 records. The tree changes update cost; it does not improve on the same exact Bayesian inference model.

Continuous Markov lag study

Lag Synthetic trajectories Accuracy Wilson 95% interval
0 16000 100.00000% [99.97600%, 100.00000%]
1 16000 99.57500% [99.46161%, 99.66459%]
2 16000 96.46250% [96.16493%, 96.73776%]
3 16000 89.07500% [88.58222%, 89.54902%]
4 16000 80.01875% [79.39200%, 80.63109%]
6 16000 66.08125% [65.34389%, 66.81089%]
9 16000 56.13750% [55.36723%, 56.90482%]

Each trajectory has 64 events. These 112,000 trajectories use a fixed synthetic known-model design.

Retrospective query memory

Retained prefix bits / 256 Trials Observed accuracy Analytic accuracy
0 16000 49.81250% 50.00000%
8 16000 51.39375% 51.56250%
32 16000 56.09375% 56.25000%
64 16000 62.56875% 62.50000%
128 16000 75.10625% 75.00000%
256 16000 100.00000% 100.00000%

Local evidence replacement

Archived events Tree compositions per replacement Replay steps per replacement Tree array bytes Raw two-sign bytes Largest centered logscore discrepancy
256 8 256 81,920 512 3.97904e-13
2048 11 2048 655,360 4,096 6.82121e-12
16384 14 16384 5,242,880 32,768 6.18456e-11

The work units differ (batched matrix composition versus forward-vector step); the arithmetic also depends on four hypotheses and two hidden states. Tree arrays use 160 times the two-sign raw payload on these fixtures, excluding Python object overhead. These are update accelerators, not compression gains.

Archived events Tree build (s) 16 tree updates (s) 16 replay updates (s) Observed replay/tree ratio
256 0.007675 0.006572 0.035252 5.36
2048 0.073419 0.010919 0.293609 26.89
16384 0.512575 0.011217 2.205227 196.59

Timing ratios exclude tree construction and are one local diagnostic run. Do not present them as a general hardware, GPU, or commercial-game benchmark.

Additional controls and audits

  • Positive-circuit approximation: 1,000 trials, zero bound violations; maximum posterior TV 0.010810353214991988; maximum observed TV/bound ratio 0.2204985843214893.
  • Calibration fixture: protected reward goes from 0.4 before calibration to 0.85 in world 0; the negative world control remains 0.4. The no-headroom arena changes value by at most 6.661338147750939e-15.
  • Lifetime promotion study: 10,000 histories per condition, 40 versions, 256 audit sessions/version, lifetime budget 0.05. Zero-gain condition: 60/10,000 histories accepted any promotion (0.6%). Positive gain 0.3 condition: 10,000/10,000 accepted at least one promotion; mean promotions 29.5762.
  • Exact arithmetic audits pass for 16 lag cases/2,550 atoms, 16 hidden operator paths, 276 deterministic encoders, 2,046 semantic words, and 72 persistent-composition cases. These remain internally authored audits, not external mathematical review.

Standalone demo

Normalized source value: 0.5378491294755662. Descendant value: 0.6666691635919242. Six-step semantic TV: 3.2289488872397007e-16. Maximum signature residual: 3.885780586188048e-16. One 1,000-step execution trace has reward mean 0.676; that single trace is not a separate population performance estimate.

Issues and unexecuted checks

No runtime failure or supplied deterministic reference mismatch was found. The Python requirement distinction above should be made explicit in the Hugging Face release. Native Windows execution, TeX/PDF rebuild, real-player testing, learned world models, commercial-engine execution, local-LLM integration, and GPU benchmarking were not performed. The title’s beyond-human-expertise aspiration must not be represented as an achieved evaluation result.

Machine-readable command outcomes, environment, full metrics, and exact audits are in execution_audit.json.