E3 CNF trichotomy + E4 pedagogical psi least-gap - #4
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hyperpolymath pushed a commit
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May 27, 2026
Two artefacts I'd flagged as "no touch needed" on first audit actually did need touching once I re-read them: * `docs/bridge-status.md` row #4 (Buchholz / Veblen Ordinals) said "BLOCKED — Well-foundedness of shared-binder cases is blocked by the failure of the self-lift." That blocker is resolved (`RankAdm` + `RankLex`, 2026-05-26/27). Updated to "PARTIAL (11/13 constructors closed under WfCNF; 1 in flight)" with the head-Ω-route landings named and a pointer to the live tracker. * `docs/bridge-status.md` gains row #6 for the decoration bridge as a conceptual (not cross-repo) entry — the doc's stated scope is "experimental extensions and bridges between the minimal core of Echo Types and other domains", which the decoration bridge fits even though it has no adjacent-repo side. * `docs/bridges/buchholz-plan.adoc` is the original phased spec from when E1–E7 were ahead of us. Its "PLANNED" tags for Phase 2.2 rank-mono etc. are now dated; many of those phases landed under different module names. Added a CAUTION banner at the top of the document pointing to the live tracker (`buchholz-rank-obstruction.adoc`), the live lane status (`roadmap.adoc` § Lane 3), and the per-session ledger (`CLAUDE.md`). The body is left intact for provenance — it's still the cleanest single source of the original design context. `scripts/kernel-guard.sh`: PASS. No Agda modules touched. https://claude.ai/code/session_013nLEeKZXpvHnrDZMgRm19S
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hyperpolymath added a commit
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May 27, 2026
…edger reinforcement (#131) Six commits closing out the Lane 3 head-Ω route's Slice 2 family: 1. CLAUDE.md session-arc entry for Slice 2 (PR #130's rung). 2. New module Ordinal.Buchholz.HeadOmegaInversion with option-(b) head-Ω inversion lemmas — no rank-mono dependency. 3. Slice 2-omega: ω branch of ω-rank-pow-succ replaced with a strictly-larger shape; per-marker dominance proved at both branches; unified ω-rank-pow-<-succ lemma added. 4. CLAUDE.md next-Claude plan updated. 5. Cross-doc consistency sweep across buchholz-rank-obstruction, roadmap § Lane 3, EXPLAINME, CHANGELOG, MAP. 6. Deeper-sweep gaps closed: bridge-status row #4 refreshed + new row #6 for decoration bridge; CAUTION banner on buchholz-plan.adoc pointing to the live tracker. Only Slice 2-bplus (the WfCNF-carrier structural recursion) remains; all prerequisites landed. scripts/kernel-guard.sh PASS. No postulates introduced. --safe --without-K throughout. Admin-merged before CI green at user request.
This was referenced Jun 1, 2026
hyperpolymath pushed a commit
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Jun 21, 2026
…loses#176 Relational-algebra selection/projection commutativity (Codd, subset case) as an Echo-fibre set-equality (affinescript db-theory #4). For a column-safe predicate (p factors through the projection as q), σ_p and π_S commute: ProjectSelect s ⇔ SelectProject s at every projected value. A predicate reading a projected-away column admits no column-restricted lift (no-column-safe-lift) — the non-commuting counterexample. - proofs/agda/EchoSelectiveProjection.agda: local _⇔_ (set-equality level), SelectiveProjection record (column-safe factoring), select-project-commute (K-free via refl-matching the fibre witness), column-safe-example instance, no-column-safe-lift counterexample. - Wired into All.agda; headlines pinned in Smoke.agda. - Classified in echo-kernel-note.adoc + MAP.adoc (kernel-guard Check B). --safe --without-K, zero postulates. All.agda + Smoke.agda exit 0; kernel-guard PASS. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_019GiSiEfgZCte35dyykgBHs
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