Mister-Meeseeks · Oct 15, 2026 · Oct 15, 2026
diff --git a/research/decoder-floors-frontier-format/LICENSE b/research/decoder-floors-frontier-format/LICENSE
@@ -0,0 +1,201 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
+      the Work and Derivative Works thereof.
+
+      "Contribution" shall mean any work of authorship, including
+      the original version of the Work and any modifications or additions
+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
+      or by an individual or Legal Entity authorized to submit on behalf of
+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
+      communication on electronic mailing lists, source code control systems,
+      and issue tracking systems that are managed by, or on behalf of, the
+      Licensor for the purpose of discussing and improving the Work, but
+      excluding communication that is conspicuously marked or otherwise
+      designated in writing by the copyright owner as "Not a Contribution."
+
+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
+      subsequently incorporated within the Work.
+
+   2. Grant of Copyright License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      copyright license to reproduce, prepare Derivative Works of,
+      publicly display, publicly perform, sublicense, and distribute the
+      Work and such Derivative Works in Source or Object form.
+
+   3. Grant of Patent License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      (except as stated in this section) patent license to make, have made,
+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
+      (a) You must give any other recipients of the Work or
+          Derivative Works a copy of this License; and
+
+      (b) You must cause any modified files to carry prominent notices
+          stating that You changed the files; and
+
+      (c) You must retain, in the Source form of any Derivative Works
+          that You distribute, all copyright, patent, trademark, and
+          attribution notices from the Source form of the Work,
+          excluding those notices that do not pertain to any part of
+          the Derivative Works; and
+
+      (d) If the Work includes a "NOTICE" text file as part of its
+          distribution, then any Derivative Works that You distribute must
+          include a readable copy of the attribution notices contained
+          within such NOTICE file, excluding those notices that do not
+          pertain to any part of the Derivative Works, in at least one
+          of the following places: within a NOTICE text file distributed
+          as part of the Derivative Works; within the Source form or
+          documentation, if provided along with the Derivative Works; or,
+          within a display generated by the Derivative Works, if and
+          wherever such third-party notices normally appear. The contents
+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
+      reproduction, and distribution of the Work otherwise complies with
+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
+      incidental, or consequential damages of any character arising as a
+      result of this License or out of the use or inability to use the
+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
+      has been advised of the possibility of such damages.
+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
+      the brackets!)  The text should be enclosed in the appropriate
+      comment syntax for the file format. We also recommend that a
+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
diff --git a/research/decoder-floors-frontier-format/MANIFEST.sha256 b/research/decoder-floors-frontier-format/MANIFEST.sha256
@@ -0,0 +1,39 @@
+c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4  LICENSE
+95ffb286f159eaab0e1620fc860fea91b94fe14a28ed4a4da52716f52f53bc7a  NOTICE.md
+515b4fc40aa63515cda48740a16a7c87cea04384242369dac5be93e5556655b3  README.md
+888a92eab8c98345a1db302c574bddea59a534afdfb4bc83cd49053eb84e72af  SOURCES.json
+4041cfeb1bc5131b5b57cce79de13e013061566128db38707cdc50efc3333e6a  checks/c1_rigidity.py
+a24a7f0907970257cdcfeaf3d1d234c34974b64a3d7aa584283124d79e0def7a  checks/c2_support_propagation.py
+aa3c56bd79a36dd081b40e50c675064c4dc7e780aee02779813c618651cf0ad8  checks/c3_batch_premises.py
+f06d5cc4685e81f5c1b52391a6a4f7548d9da146f0891aabdab09843c260ae11  checks/c4_masked_costar.py
+359b20c67b8d4c0491a0a3b9cf5b595f5294570e6a7a98fbe900094396620790  checks/c5_attaining_decoders.py
+42e91b63e455ddf020b678700ed45dc3ad3703374ba9d063002fffe13770b981  checks/c6_block_minrank_punctures.py
+6d3e3bac50ef7054acaeaabecbc863e8f40c359655c61fc9483257184c25d6ae  checks/c7_p111_unit.py
+66d019f311fd436c7e04517349d8d3e47d75d970951a7c99e1ef523cffd405b6  data/chart_rank7.json
+33e368cad0c95cd4af1c1d06d3a7abbd28abd14900bcada084d7b7583d89a270  data/h4_F1.json
+52e1a2b0e963311eb74c1ec2bbb110497da57b606e132f784f9000603d10a306  data/p104_frames.json
+f85ac3b3c785964c04d53bcf879a74425d8d997ec3ccb92d971cce69c9c10a32  data/p104reps.json
+2b492989fd574f557533e237267bc6693d6917ce5b32e2ccdad7fa9de81a07f9  data/p111_lines.json
+b5e9f53dbdf15cb7667fd1e7d6db92f61fc773822746e895a56c2d21b6fa4612  lib/frames.py
+fc4bb6836cb34d310ca7b3275ef15ef2d5d03e511063ddb06d0eb60e7072a640  lib/report.py
+b2bdaa63376ab0c718b256e879d669f1465f4d3407b64ecc876ca0f3e6a32acd  lib/roots.py
+567df3a6f3277179f88cf17dffbe69dd40b1f6d8277baab3cb79e7332361077f  lib/satgen.py
+6872520ef5955082ab10e6f20960bb47cabfad03bdad246ebe79231007b36159  lib/solve.py
+a0883df40db120adc892aadec78ab15e6eefa7d8e7006883294ba1da62961081  lib/supprop.py
+43eed628ea4c39f5aa47945697ccfe4dc63bbfc21d91affdd8a7d698c8ccd569  lib/units.py
+71fc5fc5bbb088d340a1b3ed75348ab296154b25f3a9edc064f27bbe037b7158  requirements.txt
+8a4e7baaca75530be75d2483df1af4cbba48013c992129da5628bb2510ae0b82  sat/hitting.py
+5b72bcdf42c37cedb9cd4f60c61ac5fe884dbf2d78bf8e36939afe1c27f69358  sat/misc.py
+c748368f64c87d2842babb47f6ede23f8f16acf98bef8a48f5dd40259f3e2be1  sat/mkmisc.py
+3334ae7bd440971a6c751e8286a755cf632f0c3a325c1a27086bf6df5c0990df  sat/mkresults.py
+6d7b82565559777597a10dd65d34088ef03b65cd6789c55be59765b3ae30f89a  sat/proofs/E8_sym_h9_alt.drat.xz
+fc385861ff98a07cf9f6267d8cc169deb4262394b23a5780cf08c27567b523e6  sat/proofs/P104H4_sym_h9_alt.drat.xz
+6de05f478a04dfc97f5b66644262e2f0ac742f1b399bab775134641a9b30b04d  sat/proofs/P111_sym_h9_alt.drat.xz
+db1e4a2526ed9593f7b8444bde8da3062c37ac00a3a49faa4ae92b035d95cc7d  sat/proofs/P112_sym_h9_alt.drat.xz
+9a22571653eb87be39b4650d03e7587072f5fd6332cc4162bde629e17d872e51  sat/proofs/edge_N0_r7.drat.xz
+5f31be0fd422372d77319c45e51488bb8eb4474f4e31402715d40572b1ec2907  sat/proofs/tri_keep11.drat.xz
+d7115712b22dca41e37813ac1236a91c198210b089651f0ec5cced78f6bdf296  sat/results.jsonl
+30889985d57b5bf1139ea29d9f52f9f5c24365c036b1acc8e263878fef8f94b7  sat/results_misc.jsonl
+378f20d152d1c4c53c9bd528bd2e661fa75b68bbeaa1fecaa498af4acda9b0f9  sat/rigid.py
+a4cd33cef93721cd79ae3dfaf69556f8502b22152e363fcab33b1fa402d68d11  scripts/provenance.py
+af4002aefda1f5c703d970b4f2387f1468005f071047d91ef94839a7ab721943  verify.sh
diff --git a/research/decoder-floors-frontier-format/NOTICE.md b/research/decoder-floors-frontier-format/NOTICE.md
@@ -0,0 +1,16 @@
+# Notice
+
+Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code; Apache-2.0 (`LICENSE`, copied from the repository root).
+
+## Credits
+
+- **#446** (cost model, Theorem C), **#595**, **#1590**, **#2111**, **#2125**, **#2162**, **#2228**, **#2244**, **#2277**: the model, the dense pairing, the root-code floors (#2228 Theorem 4), Theorem 4′ and the frame-intersection certificate (#2277 §5) that this package extends. The statements "P112 ≥ 64 for every rank-8 realisation" (Theorem P), the cross-call batching bounds with `GL(9)` charts and `k ≥ 3` (Theorem B, Bk) and the every-`B` coordinate-block minrank are new here, built on those. Rigidity of the minimal-rank label table (Theorem R) is new here for E8, P112, P104 (#968's unit and class representatives), E7 and E6 only: for P111 it is prior work of **#620** (GamingPuzzled, SAT) and **#1097** (bitplane, merged, LRAT-checked in the general model), and **#1815** (jmbarrancoml) is the one-sided P112 predecessor; here P111 is re-derived on #589's lines.
+- **#968**, **#1077**, **#1180**, **#1212**, **#1213**, **#1236**, **#1744**, **#757**, **#761**, **#620**, **#1097**, **#1815**, **#1331** (Arham-Tahir64), **#1249** (bbMisk, independent check of #1236), **#717** (ours; term-cost model, frontier-word censuses): the E8 / P112 / P104 / P111 floors for 8 terms, for factors in the live root code, rigidity, and the 9-term decoder outside the root code (#1180, whose cost 65 and shape are re-derived in `c4`).
+- **#1224** (joaqcoo; the merge lemma, one-sided overcomplete structure), **#1633** (bbMisk; excess-rank budgets), **#1714** (the independent-call batch model), **#2294** (thakrarsagar; the `k = 2` / `O(9)` / Gram batching core, found independently of Theorem B and credited for priority), **#2293** (navinor; independent audit of our Lemma CR2 / Theorem B2), **#2176**, **#2206**, **#2232**, **#2240**, **#2247**, **#2137**, **#2272**, **#2267**, Discussion 1267 (philippeVV; co-star families), Discussion 1166 (1337isnot1337; child-merging screen).
+- **#589** (P111 bit word): `data/p111_lines.json` is the `lines` array of `research/e8-bit-p111-tuned/tune/bitE8mut-p111-tuned.json.gz` on `main` (sha256 pinned in `SOURCES.json`).
+- Tools: kissat 4.0.4 (SAT; never CaDiCaL); `drat-trim` (Marijn Heule and Nathan Wetzler), not vendored here, optional.
+- No file is copied from another contributor. `lib/roots.py`, `lib/satgen.py`, `lib/frames.py`, `lib/report.py`, `scripts/provenance.py`, `checks/c5_attaining_decoders.py`, `data/p104_frames.json` and `LICENSE` are the author's own files from the package of #2277 (`research/overcomplete-and-realisation-floors`).
+
+## New in this package
+
+Everything under `research/decoder-floors-frontier-format/`: `README.md`, `verify.sh`, `SOURCES.json`, `MANIFEST.sha256`, `lib/*.py`, `checks/*.py`, `sat/*.py`, `scripts/provenance.py`, and the evidence files `data/*.json`, `sat/results.jsonl`, `sat/results_misc.jsonl`, `sat/proofs/` (all produced by the generators in this package; the P104 class representatives `data/p104reps.json` and `data/h4_F1.json` were exported from the author's working card `STRAYS`, and are re-verified by the checks: `c1.gauge`, `c2`).