- lakefile.toml: add Compiler lean_lib with 5 blessed roots
(Semantics.RRC.Emit, Semantics.AVMIsa.Emit, Semantics.AVMIsa.Run,
Semantics.ReceiptCore, Semantics.RRCLogogramProjection);
defaultTargets = ["Semantics", "Compiler"]
- PistSimulation.lean: restore goldenContractionEnergyDecrease theorem body
(was commented out as TODO forward-ref to arrayKineticEnergy); moved to
after burgersPhiEnergyStep where all dependencies are in scope;
proof stub retained with sorry + TODO(lean-port) comment
- AGENTS.md: document blessed Compiler surface, Goal A receipt shape,
quarantine table, pending proof work, and key Lean 4.30 API notes
Build: 3566 jobs, 0 errors (lake build)
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Semantics.lean:
- Quarantine 29 missing-file Probe imports (AtomicTimescaleProbe …
LandauerGeneticClockProbe) that caused `lake build` to crash with
"no such file or directory" before Lean even ran. All 29 are commented out
with a TODO(lean-port) block; files don't exist yet.
- Remove bare `import PistSimulation` (line 58) — it caused a
double-import collision: Semantics.PistSimulation is already reachable via
Semantics.TreeDIATKruskal, and the Semantics lib also glob-builds
Semantics/PistSimulation.lean, so the bare root-level import created an
"environment already contains" error.
PistSimulation.lean:
- Fix fixtureSpectralWindow list literal: ⟨655360⟩ … → Q16_16.ofRawInt N
(same Subtype.mk two-field pattern fixed throughout this series)
- Quarantine goldenContractionEnergyDecrease theorem: it forward-references
arrayKineticEnergy (defined 240 lines later); commented out with
TODO(lean-port): move after arrayKineticEnergy definition
TreeDIATKruskal.lean:
- Fix treeNodeCountExact_pos and treeLeafCountExact_pos: in Lean 4.30
`simp [treeNodeCountExact/treeLeafCountExact, ihL, ihR]` now closes the
node case fully; trailing `omega` had "no goals to be solved"
Result: lake build → Build completed successfully (3557 jobs)
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Semantics/RRC/Emit.lean (new):
Ports the core decision logic of rrc_pist_shape_alignment.py into Lean.
This is the first Lean-only RRC compiler pass replacing shim-space Python.
Schema:
AlignmentStatus: aligned_exact | aligned_proxy |
compatible_structural_projection |
alignment_warning | missing_prediction
scores (integer/100): 100 | 86 | 72 | 35 | 0
Promotion: always not_promoted at this stage
RrcRow: {equation_id, name, shape, status, alignmentStatus, alignmentScore,
promotion, warnings, receipt}
determineAlignment ports determine_alignment verbatim:
1. no PIST label → missing_prediction
2. exact label == RRC shape → aligned_exact
3. proxy label == RRC shape → aligned_proxy
4. PIST label in structural_labels AND RRC shape is semantic → compatible_structural_projection
5. else → alignment_warning
Fixture corpus (6 rows, one per RRCShape, from rrc_equation_classifier_receipt.json):
CognitiveLoadField CANDIDATE proxy=LogogramProjection → compatible_structural_projection score=72
SignalShapedRouteCompiler CANDIDATE proxy=LogogramProjection → compatible_structural_projection score=72
LogogramProjection HOLD proxy=LogogramProjection → aligned_exact score=100
ProjectableGeometryTopology HOLD no PIST label → missing_prediction score=0
CadForceProbeReceipt HOLD no PIST label → missing_prediction score=0
HoldForUnlawful... HOLD no PIST label → missing_prediction score=0
#eval emitFixture.json → valid JSON (python3 -m json.tool passes):
schema: rrc_emit_fixture_v1
total: 6, passed_alignment: 3, all not_promoted
This faithfully encodes the current shim state: the PIST classifier has 0%
accuracy against CognitiveLoadField / SignalShapedRouteCompiler because it
predicts LogogramProjection for all rows. The Lean gate correctly classifies
this as compatible_structural_projection (score 72) rather than a hard failure.
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AVMIsa.Emit (new, Semantics/AVMIsa/Emit.lean):
- Three canary programs: boolean NOT, AND, OR
- checkTopBool classifies Outcome State against expected value
- canaryReceipt mints a ReceiptCore.leanBuildReceipt keyed per-canary
- canaryLogogramReceipt maps allPassed → RRCLogogramProjection.LogogramReceipt
(uglyAsymmetricPruning / normal lane on pass; horribleManifoldTearing on fail)
- Minimal JSON serializer (no Float, no external deps, all ReceiptCore/RRC
fields faithfully encoded)
- emit : EmitResult collapses the whole pipeline into one call
- #eval output: valid JSON with schema avm_canary_emit_v1, all_canaries_passed
true, three receipts, rrc_logogram projectionAdmissible+mergeAdmissible true,
lane normalProjection — passes python3 -m json.tool
Adaptation.lean: replace ⟨UInt32_expr⟩ → ofRawInt N throughout
(Q16_16 is a Subtype {x:Int//...}; ⟨·⟩ needs both val + property;
ofRawInt handles clamping to range); same fix for inline let bindings
and Q16_16.mk literals in isLawful
TorsionalPIST.lean: replace { val := N } Fix16/Q16_16 struct literals with
Semantics.Q16_16.ofRawInt N (Fix16 is abbrev for Q16_16)
lakefile.toml: remove HybridTSMPISTTorus from PIST roots
(pre-existing sorry + property failures, zero importers, quarantined
pending Lean 4.30 port — still on disk, just not a build root)
Result: lake build PIST Semantics.AVMIsa.Emit → Build completed (3326 jobs)
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lakefile.toml (PIST lib roots):
- Remove "PISTMachine" — PISTMachine.lean does not exist; dead root
would cause lake build PIST to fail with "unknown module" error
- "Trace" was already added in the prior dirty change; committed here
paired with the file it requires
2-Search-Space/PIST/Trace.lean (new):
- Lean 4 tactic `trace_state_json "tag"` for Tier 2 flexure recording
- Emits structured goal-state JSON (target, hypotheses, goal_count)
prefixed with @@PIST_TRACE_JSON@@ sentinel to logInfo stdout
- Python trace bridge parses the sentinel to capture mid-proof state
- Namespace: PIST.Trace; no sorry, no float, no external deps beyond Lean
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Comprehensive §10 test suite running the bridge across 9 initial conditions
and verifying against known invariants:
Test fixtures:
• smooth parabola (convex, all diffs ≥ 0)
• shock step (mixed-sign diffs)
• sinusoidal (convex, same as parabola)
• rarefaction wave (linear, identity under contraction)
• asymmetric ramp (linear, non-zero winding)
• gaussian bump (mixed-sign diffs)
• zero field (trivial, identity)
• constant field (linear, identity)
• double shock (mixed-sign diffs)
Invariant checks:
• Regime classification via spectral discriminant gate
• Kinetic energy of initial state (non-negative)
• Golden-contraction energy dissipation (convex/linear fields)
• Spatial & temporal winding numbers (physically consistent)
• CFL-like stability proxy
Key finding: Q16_16.mul/div use raw UInt64 arithmetic on the underlying
UInt32 values, which produces incorrect results for negative operands
(the sign bit is treated as magnitude). This affects fields where the
golden contraction has negative local deviations (u−c < 0). Working
cases (convex/linear fields where all u−c ≥ 0) verify correctly:
– Parabola: E=17.0 → 14.55 (delta = −2.45) ✓
– Linear fields: identity contraction (delta = 0) ✓
– Zero field: identity (delta = 0) ✓
Build: lake build Semantics green at 3541 jobs.
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Three interconnected additions resolving the genus-1 vs genus-3 topology
question through structural derivation from the gap-6 prime lane pair:
(a) Burgers-PhiNUVMAP bridge (PistSimulation.lean):
• `burgersSpatialWinding`: net circulation Σu[i]·dx around torus spatial cycle
• `burgersTemporalWinding`: t/dt phase-step count (quarter-turns of T²)
• dims 14-15 now hold (w_space, w_time) instead of reserved zeros
• Eval witnesses: smooth parabola w_space=10, shock step w_space=4
(b) Torus surface-braid enrichment (BraidEigensolid.lean):
• `TorusWinding` structure with a, b cycle counts (spatial + phase)
• `TorusBraidCarrier`: wraps BraidState with torus topology
• `torusCrossStep`: crossing step with phase winding increment
• Each crossStep round at step_count mod 4 = 0 adds one phase increment
• Preserves all existing eigensolid_convergence / receipt_invertible proofs
(c) Genus1TopologyMetaprobe.lean (new module):
• χ = 0, b₁ = 2 theorems for genus 1
• C1 = 6k−1 / C2 = 6k+1 lane predicates and gap-6 pair structure
• Torsion-as-time: 4 steps = 1 torus wrap, phaseAngle in Q16_16 turns
• Temperature-entropy reciprocity T·S = 1 for single handle
• Symplectic intersection ω(a,b) = +1, ω(b,a) = −1
• Surface braid group on T²: winding generators a, b with commutator relation
Build: lake build Semantics green at 3541 jobs.
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TreeDIAT = Tree-to-Shell Coordinate Transform, enabling tree-structured
search traces to participate in PIST spectral refinement alongside
integer-shell (DIAT) data.
Components:
- TreeNode inductive type (binary tree with Nat labels)
- treeMetrics: O(n) extraction of depth, leafCount, nodeCount, maxLabel
- TreeDIAT structure: feature vector packed into Q16_16 space
- treeDIATEmbeddingScore: heuristic bushy=embeddable, stringy=not
- treeDIATToChaosState: project tree features into 3D chaos-game space
- treeSequenceRegime: classify tree sequences by Kruskal-bound proximity
- 14 #eval! witnesses on bushy/balanced/stringy fixtures
Build: lake build Semantics.PistSimulation = 3309 jobs green.
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Attempted symbolic proof using the case-split pattern from sub_self/
add_zero/zero_add proofs, but omega cannot reason about UInt32.toNat
conversions through the Q16_16.toInt definition. The lemma is
quarantined with a precise blocker.
Build: 3539 jobs, exit 0.
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- FixedPoint.lean: rewrite add/sub with two's-complement overflow
detection on UInt32 (replaces Int.ofNat approach that broke
negative Q16_16 values). Both positive and negative inputs now
correctly saturate at the representable bounds.
- FixedPoint.lean: add add_zero, zero_add, sub_self, sqrt_zero,
sqrt_one theorems with proofs for the corrected add/sub.
- FixedPoint.lean: fix Q0_16 doc (0x7FFF = 1.0, not 0x8000)
and div-by-zero (returns zero, not max).
- TorsionalPIST.lean: Fix16_sub_self, Fix16_mul_zero delegate to
FixedPoint theorems; Fix16_add_zero proven via add_zero.
- cupfox-config.nix: add Open WebUI container with chat.researchstack.info proxy,
gather-metrics service/timer, rclone, and tmpfiles for persistent storage
- Lean semantics: reduce axiom count from 109 to 18 across 10 files;
FixedPoint now 0 axioms, 0 sorries with 12 theorems
- Documentation: update AGENTS.md with current axiom/sorry counts and
FixedPoint status; refine bind signature
- Add topology scripts, CGA/FAMM/GeneticOptimizer/MMRFAMM Lean modules,
devcontainer config, MEMORY.md, and Modelfile
NEW: Q16Utils.lean — shared scale, absDiff, q16Mul, q16Div removed from 6 files
HIGH (4 fixed):
H1: absDiff now shared from Q16Utils (was in 4 files)
H2: scale now shared from Q16Utils (was in 6 files)
H3: 2 duplicate theorems removed (AdjacentCoprimeClassification)
H4: dead q16_div removed from DESIModelProjection
MEDIUM (4 fixed):
M5: dead DESIParam removed from DESIInvariant
M6: q16Abs kept (Int.abs not available in Lean 4.30)
M7: 6 dead structures removed from DESIModelProjection
M8: 40 theorems consolidated into 5 ∧ chains (AdjacentCoprimeClassification)
M9: q16Div now shared from Q16Utils
LOW (2 fixed):
L11: SuperpositionalBoundaryLayers now uses shared Q16Utils
L12: SCALE → scale in SuperpositionalBoundaryLayers
Build: 3530 jobs, zero errors
The smoothstep A(x) = 3x^2 - 2x^3 from UniversalBridge.lean describes
EVERY boundary layer where Newton's laws transition to a wall regime:
Schwall (GR): x = (R - 2GM)/(2GM), A=0.5 at R=3GM (photon sphere)
Qwall (QM): x = (hbar/lambda)/p, A=0.5 at de Broglie wavelength
Cwall (SR): x = v/c, A=0.5 at v/c=0.5
Twall (torsion): x = omega/1, A=0.5 at omega=0.5
The superposition principle: F_eff = (1-A)*F_Newton + A*F_Wall.
This is the 16D controller principle — the boundary is a weighted
superposition of all active regimes, not a thin line.
