t81-foundation

Consolidated discrepancy and resolution ledger

Baseline #569 01c85019; audited #570 8a49ba1d, #571 b2918551. Exact prior reports are retained under history/; these resolutions supersede those reports. Classification D applies to the original inference, not all H04.

ID Category Confirmed issue and disposition Verification
DEF-01 Mathematical defect Both baseline implementations scale binary control metadata by r. Correct to B*m independent of r. #570 fix accepted. C++ ratio sweeps and rational enumeration
DEF-02 Mathematical defect Published ratios do not match either consistent historical scaled-header equations or corrected equal-header equations. #570 fixed the ratio-1 path expression; integration solves the reoptimized envelope. Emitted root versus exact max over paths
DEF-03 Comparator fairness defect Six trits and eight bits have different tier boundaries and capacity. 10 bits cover six trits but still have unequal native capacity. Add actual 10-bit control; avoid calling it exact capacity equality. Boundary executable: 1250 vs 1210 at r=1.60
DEF-04 Implementation defect Baseline C++ greedy selection contradicts declared DP. #570 DP fix accepted in principle; replace quadratic path copying and finite 1e18 sentinel with backpointers and infinity. Exhaustive high-transition and 1e20-cost cases
DEF-05 Documentation inconsistency int64 clipping was described as the mathematical 41-trit range. Domain restriction is legitimate; full mathematical maximum is 18236498188585393201. Exact Python integer derivation, int64 endpoints
DEF-06 Documentation inconsistency Claims that def47c68 does not exist are false locally. Local refs and object contain source/test/data packet. Preserve pinned archive and reexecute its verifier/tests. H04-R01 logs and archive hash
DEF-07 Unsupported inference 96% adaptation attribution generalized from constant-small. Constant-large AB loses 250 U to FB; (-250)/(6400-4350)=-12.1951%. Actual default output; scope conclusion to workload
DEF-08 Measurement limitation Symbol slots were extrapolated to CPU, hardware or universal software impossibility. Withdraw. No performance counter/benchmark in H04-R02
INT-01 Mathematical defect #571 says 11.6 exceeds 12 and associates 5/3 with an 8-bit baseline. Equal headers preserve 0.4 bits/value; 8/6=4/3, 10/6=5/3. Concrete stream sizes; executable controls
INT-02 Unsupported inference #570 says Base-243 plus decode latency loses storage and execution even at 5/3 crossover. Decode latency alone does not change byte count, and no such codec was benchmarked. Actual reversible codec; separately state absent timings
INT-03 Implementation defect One header per block previously allowed unrecorded intra-block tier changes. Enforce a shared mode for each block in both optimizers. Partial-block enumeration and sequence inspection
INT-04 Implementation defect Frozen ratio-1 schedule is not a general optimized crossover. Reoptimize per ratio. Schedule-changing [0,88574,0], tau=7
INT-05 Implementation defect #570 unittest parses –bin-path in setUpClass, after unittest has rejected it. Remove custom args before unittest; require supplied binary, no repository walking/stale fallback. Direct Python invocation and CTest
INT-06 Implementation defect 1e18 sentinel can leave predecessor=-1 for valid large costs; block_size=0 permits modulo zero. Validate parameters and use infinity. Invalid-input and 1e20-cost executable tests
INT-07 Documentation inconsistency Methodology/oracle docs still scale headers; original oracle CTest only prints output, not a comparison. Correct contracts and add executable comparison. Audit CTest, independent enumeration
INT-08 Implementation defect Experiment lacked an explicit C++ standard requirement, relying on extensions on this macOS compiler. Require cxx_std_17 on this target only. Small phased traces also risk division by zero; clamp phase length. Warning-free target rebuild and source portability review
INT-09 Implementation defect Full-total DP/crossover comparisons lose payload differences at huge shared metadata/conversion costs (review #572). Cancel common overhead before C++ comparisons; retain it with exact rational arithmetic in Python. 49 adversarial-scale configurations, exact oracle and exhaustive schedule checks; see PRECISION_CORRECTION.md

PR integration recommendation

Integrate the independently tested branch instead of merging #570 and #571 unchanged. #570 contributes valid metadata/DP/output-testing corrections and preservation intent; its historical-nonexistence and impossibility conclusions are rejected. #571 contributes a valid packing question and narrower intent; its arithmetic and claimed empirical execution conclusion are rejected. Root README additions are omitted: the existing root already links the registry, and this research does not require changing the public project framing.

After review and required CI checks, merge this integration PR, then close #570 and #571 as superseded with links to the integrated evidence. No PR is merged or closed by this work. Their complete commits remain available by pinned SHA; exact report snapshots preserve the unsuccessful reasoning, not just summaries. Existing main-wide red checks remain a separate maintenance issue; local research passes are not a declaration that the full repository or all platforms are green.