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Family: binary-form-reducible — Reducible binary form equation - #13

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Family: binary-form-reducible — Reducible binary form equation#13
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@roed-math roed-math commented Aug 8, 2026

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One family: Reducible binary form equation (binary-form-reducible) — P1, solved.

  • Standard form: F(x, y) = m, F reducible over QQ
  • Parent: binary-form
  • Examples: x^3 + y^3 = 1729

Contents: the registry entry, its docs/FAMILIES.md section and its rows in the classification corpus.

References cited (the claim each one supports):

  • Cohen2007 — elementary divisor-enumeration methods

Independent of every other family PR: it needs only the registry backbone it is based on.

Part of the series that splits #1 into reviewable pieces:

  1. 01-bibliography — packaging, docs, annotated bibliography
  2. 02-parsing — equation strings to a term model
  3. 03-registry — the YAML family registry (3 seed families)
  4. 04-matchers — shape recognizers
  5. 05-classify — the classification pipeline
  6. 06-solvers — solver framework, two seed solvers, and the CLI
  7. 07..09-backbone — the 23 parent families of the DAG, by depth
  8. one PR per remaining family (38 of them, mutually independent)
  9. 99-polish — restore the full doctests and tighten the invariants

@roed-math roed-math mentioned this pull request Aug 8, 2026
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roed-math force-pushed the family/binary-form-reducible branch from d1baf69 to 066006f Compare August 8, 2026 15:28
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roed-math force-pushed the split/09-backbone-deep branch from 082df89 to 35fcb63 Compare August 8, 2026 16:12
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roed-math force-pushed the family/binary-form-reducible branch from 066006f to b30bbf1 Compare August 8, 2026 16:12
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roed-math force-pushed the split/09-backbone-deep branch from 35fcb63 to ece9c70 Compare August 9, 2026 02:43
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roed-math force-pushed the family/binary-form-reducible branch from b30bbf1 to 84ec2af Compare August 9, 2026 02:43
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roed-math force-pushed the split/09-backbone-deep branch from ece9c70 to 6175904 Compare August 9, 2026 05:01
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roed-math force-pushed the family/binary-form-reducible branch from 84ec2af to 5b089d0 Compare August 9, 2026 05:01
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roed-math force-pushed the split/09-backbone-deep branch from 6175904 to 529528f Compare August 9, 2026 05:21
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roed-math force-pushed the family/binary-form-reducible branch from 5b089d0 to 15ce52a Compare August 9, 2026 05:21
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roed-math force-pushed the split/09-backbone-deep branch from 529528f to 8c5cfc8 Compare August 9, 2026 08:24
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roed-math force-pushed the family/binary-form-reducible branch from 15ce52a to 602a103 Compare August 9, 2026 08:24
One family: **Reducible binary form equation** (`binary-form-reducible`) — P1, solved.

- Standard form: `F(x, y) = m, F reducible over QQ`
- Parent: `binary-form`
- Examples: `x^3 + y^3 = 1729`

Contents: the registry entry, its `docs/FAMILIES.md` section and its rows in the classification corpus.

References cited (the claim each one supports):

- `Cohen2007` — elementary divisor-enumeration methods

Independent of every other family PR: it needs only the registry backbone it is based on.

Part of the series that splits #1 into reviewable pieces:

1. `01-bibliography` — packaging, docs, annotated bibliography
2. `02-parsing` — equation strings to a term model
3. `03-registry` — the YAML family registry (3 seed families)
4. `04-matchers` — shape recognizers
5. `05-classify` — the classification pipeline
6. `06-solvers` — solver framework, two seed solvers, and the CLI
7. `07..09-backbone` — the 23 parent families of the DAG, by depth
8. one PR per remaining family (38 of them, mutually independent)
9. `99-polish` — restore the full doctests and tighten the invariants
@roed-math
roed-math force-pushed the split/09-backbone-deep branch from 8c5cfc8 to d767c69 Compare August 9, 2026 20:35
@roed-math
roed-math force-pushed the family/binary-form-reducible branch from 602a103 to a6392b5 Compare August 9, 2026 20:35
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