[{"data":1,"prerenderedAt":4},["ShallowReactive",2],{"Ri4IwpnvTM":3},"[![Lean 4](https://img.shields.io/github/actions/workflow/status/catskillsresearch/scott_models/build.yml?label=Lean%204)](https://github.com/catskillsresearch/scott_models/actions/workflows/build.yml)\n[![Palomar](https://img.shields.io/badge/Palomar-2026--08--25--000003-0f766e.svg)](https://palomar-registry.org/entry?id=PALOMAR-2026-08-25-000003&version=1)\n\n# scott_models\n\nEquivalence theorems relating the 1972 continuous-lattice, 1980 neighborhood-system,\nand 1982 information-system presentations of Scott domain theory.\n\nThe **Palomar statement of record** is the family of presentation-bridge\nisos (`neighborhoodSystem_to_infoSys`, `infoSys_to_neighborhoodSystem` /\n`InfoSysToNeighborhood.domainOrderIso`, `presentation_domains_equiv` :\n`D ≃o RoundInfoSysElement`) together with the S-expression instance\n`T ≅ A + (T × T)` as `|T| ≃o |A + (T × T)|` (`sexNeighborhoodIso`,\n`sexIdealIso`, `sexDomainEquationIso`), not a dump of the three source\npapers.\n\n[`domain_theory`](https://github.com/catskillsresearch/domain_theory)\npreceded this work and was archived as the per-paper split progressed\ninto [`scott1972`](https://github.com/catskillsresearch/scott1972),\n[`scott1980`](https://github.com/catskillsresearch/scott1980),\n[`scott1982`](https://github.com/catskillsresearch/scott1982), and this\nbridges package. This snapshot copies those three paper trees into\n`vendor/` (frozen SHAs and local patches in `vendor/FROZEN.txt`) so one\nPalomar SHA has the complete development; the remotes remain the\nper-paper homes. See `PROVENANCE.md`. This package is registered with\n[Palomar](https://palomar-registry.org/about) as\n[PALOMAR-2026-08-25-000003](https://palomar-registry.org/entry?id=PALOMAR-2026-08-25-000003&version=1).\nThe paper of record for the bridges is `view.pdf`\n(source `arxiv.md`).\n\n## Build\n\n```bash\nlake exe cache get\nlake build\n```\n\n`lake build` typechecks `ScottModels`, `Challenge`, and `Solution`.\n`Challenge.lean` imports only Mathlib and leaves the compared declarations\nas `sorry`. `Solution.lean` re-exports the sorry-free `ScottModels/` proofs.\n\nNarrative inventory: `arxiv.md`. Palomar metadata: `comparator.json`,\n`formalization.yaml`. Split / vendor story: `PROVENANCE.md`.\nSession resume: `HANDOFF.md`.\n",1789154852922]