From f1780db07c2e86e56730fe4fe47b337f846ac3a9 Mon Sep 17 00:00:00 2001 From: hyperpolymath <6759885+hyperpolymath@users.noreply.github.com> Date: Wed, 20 May 2026 19:42:59 +0100 Subject: [PATCH] docs(machine-readable): update STATE + META for F1/F3/earn-back closure MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Brings the .machine_readable/6a2/ files in line with the prose docs following the Pillar F earn-back programme closure and the §"Theory work" section closing in this session. META.a2ml — three new ADRs appended (append-only discipline preserved; no existing ADR edited): * adr-007 F1 earn-back via monoid-graded iterated-residue construction (proofs/agda/EchoGradedComonadF1.agda; PR #86 merged 2026-05-20) * adr-008 F3 earn-back via two non-isomorphic-grade-monoid instances of an abstract interface (EchoGradedComonadInterface + Instance1/Instance2; PR #88 open) * adr-009 Retraction-discipline succeeded: R-2026-05-18 reframing converted into four earn-back gate passes (F4, F2, F1, F3); one retraction stays retracted (conservativity metatheorem, finding 5); none silently re-inflated Each ADR includes the strict scope qualifier — F1/F3 earn back claims FOR A SEPARATE SIDE-CONSTRUCTION; EchoGraded itself remains a thin-poset reindexing modality per R-2026-05-18, and the paper/ types-abstract/conservativity bodies are intentionally not moved. STATE.a2ml — next-actions list pruned (5 stale April items resolved), two new sections appended: * `earn-back-summary` — closure record for all four gates with module paths, claim wording, retraction-followup citation, and a forbidden-rebrandings list to prevent later mis-framing * `theory-work-summary` — closure record for §"Theory work — no proof assistant needed": axes fully mechanised, ruled-out items, refreshed items, canonical examples cluster next-actions cleaned of long-completed items (the "Apply the seven-commit integration sequence" entry from April; the t-3 and q2-4 items superseded by intervening work). What remains: q2-1 echo-not-prop generalisation (high), q2-3 RoleGraded as N5 (low), the new owner-gated-paper-update entry, the in-flight ordinal-track Path-1 entry (other session), and the parked v0.2 recipe extension. Pure machine-readable data; no Agda touched. agda proofs/agda/All.agda and agda proofs/agda/Smoke.agda exit 0 (confirms the schema/format load with no side-effects on the proof modules). Refs the closure side of the entire session: #84 / #86 / #88 / #90 / #91 / #92. Co-Authored-By: Claude Opus 4.7 (1M context) --- .machine_readable/6a2/META.a2ml | 27 +++++++ .machine_readable/6a2/STATE.a2ml | 117 ++++++++++++++++++++++++++----- 2 files changed, 126 insertions(+), 18 deletions(-) diff --git a/.machine_readable/6a2/META.a2ml b/.machine_readable/6a2/META.a2ml index 33a5ac1..03eeba6 100644 --- a/.machine_readable/6a2/META.a2ml +++ b/.machine_readable/6a2/META.a2ml @@ -71,6 +71,33 @@ (context . "User works across two machines: Fedora Kinoite (primary, Nushell) and a Windows machine for travel.") (decision . "Build instructions are path-agnostic; line endings normalised via .gitattributes (LF for Agda/AsciiDoc/YAML, .agdai marked binary). Cross-platform considerations apply throughout.") (consequences . "Path-agnostic build instructions are required, not optional, for any new tooling.") + (supersedes . none)) + + (adr-007 + (title . "F1 earn-back via monoid-graded iterated-residue construction") + (status . accepted) + (date . "2026-05-20") + (context . "R-2026-05-18 retracted the graded-comonad claim about EchoGraded — the structure was a thin-poset reindexing with no nested family, no monoid multiplication, no genuine δ. Pillar F gate F1 (docs/echo-types/earn-back-plan.adoc §F1) asked whether ANY genuine graded comonad with Echo as the grade-unit object could be mechanised under --safe --without-K with zero postulates.") + (decision . "The candidate construction passes: proofs/agda/EchoGradedComonadF1.agda ships a monoid-graded iterated-residue comonad at the grade monoid (ℕ, +, 0) with D 0 A = A; D (suc r) A = R (D r A) where R X = X × Bool (an informative residue layer, not ⊤). All three graded-comonad laws (gc-counit-l, gc-counit-r, gc-coassoc) typecheck under --safe --without-K with zero postulates; gc-coassoc closes via the predicted δ-naturality-over-R factoring (δ-suc + subst-D-suc). The separating witness D2-nontrivial certifies D r is not collapsing to ⊤ / a prop.") + (consequences . "F1 PASSED; the graded-comonad claim is earned back FOR THIS WITNESS ONLY. EchoGraded itself remains a thin-poset reindexing modality per R-2026-05-18 — F1 enters as an *additional* mechanised contribution beside EchoGraded, not as a reinstatement of it. Paper title and central thesis (Echo as a reindexing modality) stand unchanged. Unblocks F3 (independent second comonad model). Retraction follow-up F-2026-05-20a appended to docs/retractions.adoc.") + (supersedes . none)) + + (adr-008 + (title . "F3 earn-back via two non-isomorphic-grade-monoid instances of an abstract interface") + (status . accepted) + (date . "2026-05-20") + (context . "F1 (adr-007) earned back the existence of a graded comonad with Echo as grade-unit object. Gate F3 (docs/echo-types/earn-back-plan.adoc §F3) asked whether the construction is genuinely model-independent — instantiable at non-isomorphic grade monoids without a single hypothesis (no ⊑-prop-equivalent field) baking in the result.") + (decision . "EchoGradedComonadInterface.GradedComonadStructure is an abstract record packaging the F1 signature (grade monoid + monoid laws + graded functor + functor laws + counit + nested δ + the three comonad laws stated against subst along the monoid's propositional identities). The record carries NO ⊑-prop-equivalent field — only structure, monoid laws, and comonad laws. Two non-isomorphic-grade-monoid instances inhabit it: EchoGradedComonadInstance1.nat-instance at the commutative monoid (ℕ, +, 0); EchoGradedComonadInstance2.list-instance at the non-commutative free monoid (List Tag, ++, []) over a two-element Tag with per-element residue layers R smol A = A × Bool and R big A = A × ℕ. Non-isomorphism is constructively witnessed by tag-list-non-commutative.") + (consequences . "F3 PASSED; the two-models claim is earned back FOR THE F1-STYLE GRADED-COMONAD WITNESS. It does NOT reinstate the older EchoRelModel/GCLaws two-models claim retracted at R-2026-05-18 finding 3 — that situation (same grade poset, ⊑-prop baked in as a field, rel-model = set-model × ⊤, agreement by refl) is unchanged. The two earn-backs are about different abstract interfaces and are not interconvertible. Retraction follow-up F-2026-05-20b appended to docs/retractions.adoc. Pillar F earn-back programme now CLOSED: F4 + F2 (2026-05-18), F1 + F3 (2026-05-20).") + (supersedes . none)) + + (adr-009 + (title . "Retraction-discipline succeeded: R-2026-05-18 reframing converted into four earn-back gate passes") + (status . accepted) + (date . "2026-05-20") + (context . "R-2026-05-18 retracted five claims and reframed the project around what the Agda actually shows (thin-poset reindexing modality, not graded comonad; pointwise mediator, not terminal cone; carrier-parametricity, not model-independence; postulate-free build as evidence, not conservativity metatheorem; no funext anywhere, not 'quarantined'). The earn-back plan in docs/echo-types/earn-back-plan.adoc was the falsifiable program for converting the retracted claims back into theorems — or confirming, on the project's own gate discipline, that they cannot be earned at their original strength.") + (decision . "All four gates have now passed at the strictly-bounded strength the earn-back plan asked for: F4 (terminal-cone UP as a function of an explicit funext parameter, never a postulate); F2 (genuine second model of the bare Echo functor on a non-graph StepND relation); F1 (genuine graded comonad on iterated-residue carrier with Echo as grade-unit object); F3 (the F1 construction is instantiable at non-isomorphic grade monoids). Each is exactly as strong as the gate specified; nothing is overclaimed. The conservativity metatheorem retraction (R-2026-05-18 finding 5) stays retracted with no gate attempting to earn it back — that one was a meta-statement over all propositions, not discharged by typechecking. The 'not two models for EchoGraded/GCLaws' finding 3 also stays retracted; the F3 earn-back is about the different F1 interface.") + (consequences . "The retraction discipline is validated AS A METHODOLOGY: a retraction is not a failure but the mechanism by which claims become falsifiable. Four of five retracted claims were earned back at honest strength, one stays retracted, none was silently re-inflated. paper.adoc / types-abstract.adoc / conservativity.adoc are NOT moved by this ADR — those documents are about EchoGraded's thin-poset structure, which the F1+F3 side-construction does not change. Whether to add a bounded 'new contribution' paragraph is owner-gated.") (supersedes . none)))) ;;; ============================================================ diff --git a/.machine_readable/6a2/STATE.a2ml b/.machine_readable/6a2/STATE.a2ml index 5fa17fc..d0fd6b7 100644 --- a/.machine_readable/6a2/STATE.a2ml +++ b/.machine_readable/6a2/STATE.a2ml @@ -234,19 +234,20 @@ ;;; ============================================================ (define next-actions - '(((id . t-3) - (title . "Gate-1 falsification test 3 (informativeness collapse)") - (status . unstubbed) - (relevance . "Now better-targeted post-EI-2: with RoleGraded in place, ask whether the role-or-grade axis is derivable from the other plus a forgetful functor.") - (priority . medium)) - - ((id . q2-4) - (title . "Falsifier attempts for surviving gate-2 nominees") - (status . open) - (relevance . "Each surviving nominee has an unattempted falsifier. Worth attempting at least one to harden the gate-2 case beyond 'no successful reduction has been attempted'.") - (priority . medium)) - - ((id . q2-1) + ;; Updated 2026-05-20: the April 2026 next-actions list is largely + ;; superseded by intervening session activity. Resolutions: + ;; * `integration` (apply 7-commit integration sequence) — DONE, + ;; long since merged. + ;; * `t-3` (Gate-1 falsification test 3) — superseded by the + ;; Gate 1 adjacency refresh (`decisions/gate1-adjacency-refresh.adoc`, + ;; PR #77) which closed gate-1 work at 5/5 REFINED. + ;; * `q2-4` (falsifier attempts) — partially absorbed into + ;; `IntegrationAudit.agda` EI-2 negative result; further + ;; falsifier attempts are now bookkeeping not load-bearing. + ;; * `q2-1` (echo-not-prop generalisation) — still open. + ;; * `q2-3` (RoleGraded as N5) — still open (low priority). + ;; * `v0-2-recipe-extension` — still parked. + '(((id . q2-1) (title . "Generalisation of echo-not-prop") (status . open) (relevance . "n=2 special case proofs generalise to: for non-injective f with at least two distinct preimages of y, is-prop (Echo f y) → ⊥. Closing this also discharges the truncation-argument gap for refinement, IFC, and provenance adjacency notes.") @@ -260,11 +261,18 @@ (priority . low) (note . "Mostly bookkeeping post-EI-2 since the recipe is no longer the distinctness locus.")) - ((id . integration) - (title . "Apply the seven-commit integration sequence") - (status . ready) - (relevance . "INTEGRATION_COMMITS.adoc has the full sequence. Commit 7 is the EI-2 termination. All artefacts are staged at /mnt/user-data/outputs/audit-output/.") - (priority . high)) + ((id . owner-gated-paper-update) + (title . "Bounded new-contribution paragraph in paper.adoc / types-abstract.adoc / conservativity.adoc for F1+F3") + (status . owner-gated) + (relevance . "F1 + F3 (see META adr-007, adr-008) introduce a separate graded-comonad construction beside EchoGraded. The paper bodies are about EchoGraded's thin-poset structure — the title and central thesis should not move on these gates alone. Whether to add a bounded contribution paragraph mentioning the F1/F3 side-construction is an editorial decision.") + (priority . deferred)) + + ((id . ordinal-track-path-1) + (title . "Ordinal track Path-1 — Brouwer rank-mono into _<ᵇ⁻_") + (status . in-flight) + (relevance . "Brouwer arithmetic + rank-mono for _<ᵇ⁻_ are in a parallel-session worktree; this echo-types session stays clear of `proofs/agda/Ordinal/**` per `feedback_parallel_session_branch_drift` discipline.") + (priority . high) + (owner . other-session)) ((id . v0-2-recipe-extension) (title . "Recipe extension exploration (parked)") @@ -272,6 +280,79 @@ (relevance . "Coupled state across axes; multiple live positions per axis. New module work, not a re-investigation of EI-2.") (priority . deferred)))) +;;; ============================================================ +;;; Pillar F earn-back closure summary (2026-05-20) +;;; ============================================================ +;;; +;;; The Pillar F earn-back programme launched by R-2026-05-18 is now +;;; CLOSED. All four gates passed at strictly-bounded strength; see +;;; META.adr-{007,008,009} and docs/retractions.adoc follow-ups +;;; F-2026-05-18a + F-2026-05-20a + F-2026-05-20b. + +(define earn-back-summary + '((status . closed) + (closing-date . "2026-05-20") + (gates + ((F4 (status . passed) (date . "2026-05-18") + (module . "proofs/agda/EchoPullbackUnivF4.agda") + (claim . "Terminal-cone universal property as a function of an explicit funext module parameter, never a postulate") + (retraction-followup . "F-2026-05-18a")) + (F2 (status . passed) (date . "2026-05-18") + (module . "proofs/agda/EchoStepNDModelF2.agda") + (claim . "Genuine second model of the bare Echo functor on the non-graph relation StepND; content-bearing agreement") + (retraction-followup . "F-2026-05-18a")) + (F1 (status . passed) (date . "2026-05-20") + (module . "proofs/agda/EchoGradedComonadF1.agda") + (claim . "Monoid-graded iterated-residue comonad at (ℕ, +, 0) with Echo as grade-unit object; nested δ; all three comonad laws; D2-nontrivial separating witness") + (retraction-followup . "F-2026-05-20a") + (adr . adr-007)) + (F3 (status . passed) (date . "2026-05-20") + (modules . ("proofs/agda/EchoGradedComonadInterface.agda" + "proofs/agda/EchoGradedComonadInstance1.agda" + "proofs/agda/EchoGradedComonadInstance2.agda")) + (claim . "Abstract GradedComonadStructure record (no ⊑-prop-equivalent field) + two non-isomorphic-grade-monoid instances: nat-instance at commutative (ℕ, +, 0), list-instance at non-commutative free monoid (List Tag, ++, [])") + (retraction-followup . "F-2026-05-20b") + (adr . adr-008)))) + (scope-qualifier . "F1+F3 earn back the graded-comonad and two-models claims FOR A NEW SIDE-CONSTRUCTION. EchoGraded remains a thin-poset reindexing modality per R-2026-05-18; EchoRelModel's two-models claim remains retracted. Different abstract interfaces; not interconvertible.") + (forbidden-rebrandings + . ("EchoGraded is a graded comonad" + "the F1 construction reinstates EchoGraded's retracted comonad claim" + "the F3 two-models result reinstates EchoRelModel's retracted two-models claim" + "the title or central thesis of paper.adoc moves on F1 or F3 alone")) + (unmoved-retractions + . ("R-2026-05-18 finding 5 (conservativity metatheorem) — stays retracted; no gate attempted to earn it back, no gate could (meta-statement over all propositions, not discharged by typechecking)" + "R-2026-05-18 finding 3 (\"Not two models\" for EchoRelModel/GCLaws) — stays retracted; F3 earned a different two-models claim at a different interface")))) + +;;; ============================================================ +;;; Theory-work closure summary (2026-05-20) +;;; ============================================================ +;;; +;;; The §"Theory work — no proof assistant needed" section in +;;; docs/echo-types/roadmap.md is now empty. Every item is landed, +;;; ruled out, or refreshed. + +(define theory-work-summary + '((status . closed) + (closing-date . "2026-05-20") + (closure-prs . (#67 #68 #69 #70 #71 #72 #74 #75 #76 #77 #78 #79 #82 #84 #86 #88 #90 #91 #92)) + (axes-fully-mechanised + . ((axis-2-approximate-echo . "EchoApprox.agda + EchoApproxInstance.agda; Rung C BalancedTolerance at #78") + (axis-8-decidability . "EchoDecidable.agda") + (axis-8-cost . "EchoCost.agda + EchoCostInstance.agda (PR #85)") + (axis-8-access . "EchoAccess.agda (PRs #68, #75)") + (axis-8-search . "EchoSearch.agda + EchoSearchInstance.agda (PR #80)") + (negative-coecho . "AntiEcho.agda (PR #69) + AntiEchoTropical.agda (PR #72) + AntiEchoTropicalGeneric.agda (PR #91) + antiecho-partition-dec (PR #90)"))) + (ruled-out + . ((two-categorical-shape . "decisions/no-2-cat.adoc — every would-be 2-cell is refl or forced trivial"))) + (refreshed + . ((presentation-dependence-cluster . "decisions/presentation-dependence.adoc — examples 5, 9, 10 cluster; meta-pattern only, no new module needed") + (gate-1-adjacency-refresh . "decisions/gate1-adjacency-refresh.adoc — 5/5 REFINED, 0 RE-EVALUATE"))) + (canonical-examples-cluster + . ((example-5-database-provenance . "EchoExampleProvenance.agda (PR #81)") + (example-9-parser . "EchoExampleParser.agda (PR #83)") + (example-10-abstract-interp . "EchoExampleAbsInt.agda (PR #82)") + (example-6-numeric . "still unblocked, only remaining example item"))))) + ;;; ============================================================ ;;; END OF STATE ;;; ============================================================