russell@unturf.com
7b7ac3867d
A new π* kernel that canonicalizes pure-integer counting
expressions and FAILS CLOSED on any input whose result isn't a
non-negative sp.Integer. Tighter domain than algebra-symbolic@v1,
which already accepts the same input surface but happily returns
symbolic / negative / non-integer outputs.
Distinguishing feature versus algebra-symbolic@v1:
algebra-symbolic@v1: binomial(n, k) → "binomial(n, k)" (symbolic
passthrough)
combinatorics@v1: binomial(n, k) → PiStarError (fail-closed
on free-symbol output)
algebra-symbolic@v1: binomial(Rational(1,2), 3) → 1/16 (rational)
combinatorics@v1: binomial(Rational(1,2), 3) → PiStarError
(output not Integer)
Boundary kept explicit: binomial(-3, 2) = 6 IS accepted because the
output is an integer 6. The fail-closed rule is on output shape
(Integer ≥ 0), not input range. Documented as
test_generalized_binomial_negative_args_accepted_when_integer.
Output format: plain decimal literal (b"10", b"5040"). Composes
with arithmetic@v1 for byte-identical agreement with the rational
route (b"10/1") so the multi-modality witness (#000028) can pin
equivalence-class agreement when both routes fire on the same
question.
Allowed surface (via SymPy primitives): binomial, factorial, ff /
rf (falling/rising), catalan, bell, partition, stirling, plus
arithmetic compositions over those primitives
(3*binomial(5,2) + factorial(4) = 54).
Coverage:
- 43 unit tests including binomial symmetry C(n,k)=C(n,n-k),
Pascal's rule C(n,k)=C(n-1,k-1)+C(n-1,k), the C(n,k) =
factorial(n)/(factorial(k)·factorial(n-k)) identity,
fail-closed paths (symbolic/negative/non-integer/relational/
parse), round-trip idempotence, composition with arithmetic@v1.
- 10 syntax + 12 semantics bench fixtures, 100% pass.
- bench/batteries/base.py PHASE_1_CARRIERS gains "combinatorics".
- Makefile bench-5s-combinatorics target.
All gate on pytest.importorskip("sympy") so a sympy-less suite
stays green. Full make test: 1537 passed / 28 skipped.
Sequencing rationale honored: this kernel lands FIRST so that
#000033 (claim-pack pillar VII for combinatorics) can bind its
records to the tighter integer kernel from day one — avoids
rebind churn on pi_star_ref fields.
7 KiB
7 KiB
Arborist tickets — index
Arborist uses a flat ticket-NNNNNN-<slug>.md convention for actionable
proposals: defects with a known root cause, design proposals awaiting
go/no-go, or scoped enhancements queued for future implementation.
Convention
- Filename:
docs/tickets/ticket-NNNNNN-<slug>.md. The ID is a six-digit zero-padded integer; the slug is hyphen-lowercase and short enough to stay readable on a 100-column terminal. - Numbering: monotonic, never reused. Pick the next free integer
greater than every existing ticket. The current next ID is on the
Next IDline below; bump it when you open a ticket and commit the bump in the same commit as the new ticket file. - Header: every ticket starts with
# Ticket #NNNNNN — <short title> **Status:** open · awaiting go/no-go (or "in progress", "closed") **Opened:** YYYY-MM-DD **Scope:** <one-liner — what this ticket is for> **Audience:** <who reads this> **Hard constraint:** <invariants this ticket commits to NOT break> - Body: problem statement, design choices with trade-offs,
recommendation, implementation sketch, scope boundaries, status.
See
ticket-000001-retrieval-keywords-audit-gap.mdfor a worked template. - Closure: when a ticket lands, flip Status to
closed · landed in commit <sha>and leave the file in place. Do not delete tickets; they are the design log.
Distinction from other docs
docs/ also contains architecture references and bench journey notes
that are NOT tickets — they describe state of the world rather than
proposing change. Examples that stay un-numbered:
cti-architecture.md(architecture reference)mesh.md,mesh-deploy.md(architecture + ops reference)qa-modes-bench-2026-04-30.md(point-in-time bench journal)verifier-semantic-gap-design.md,self-reference-design.md(older design docs that pre-date the ticket convention; leave as-is unless retroactively promoting one to a ticket adds value)concept-relations-design.md(architecture reference for the per-shardconcept_relationssynonym/rivalry layer + the 1.6% storage-tax rationale; landed 2026-05-01)tool-action-dag-design.md(research path for an action- provenance layer downstream offinal_label. Captured pre-ticket per the 2026-05-07 arborist-vs-donto comparison; promotes to a ticket when an actual agent use case surfaces)
If a doc proposes change AND awaits a decision AND has scoped implementation cost, it's a ticket. Otherwise it's reference.
Index
Newest first. Update on every open/close.
| ID | Title | Status | Opened | Directive |
|---|---|---|---|---|
| #000033 | Claim-pack pillar VII (combinatorics) | open · awaiting go/no-go | 2026-05-09 | — |
| #000032 | combinatorics@v1 π* (integer counting kernel) | closed · landed 2026-05-09 | 2026-05-09 | — |
| #000031 | Surface-ingest cited textbooks for claim-pack warrant promotion | open · awaiting go/no-go | 2026-05-09 | — |
| #000030 | Math π* expansion: SymPy substrate (algebra · calculus · linalg) | closed · Phases 1+2+1b+3 landed 2026-05-09 (4-7 future work) | 2026-05-09 | — |
| #000029 | Claim-pack source (axiom/theorem JSON bundles) | closed · landed 2026-05-09 | 2026-05-09 | — |
| #000028 | Multi-modality witness for canonical shapes | closed · landed 2026-05-09 + follow-ups (capital ledger · sample rate) | 2026-05-08 | — |
| #000027 | Canonical projections persist to providence_cache | closed · landed 2026-05-09 | 2026-05-08 | — |
| #000026 | Real-shard workload baseline + search latency | in progress · Phase 1 + 2 + 3 landed 2026-05-09 | 2026-05-08 | — |
| #000025 | 5F battery (Function · Finetuning · Falsification · Formulate · Feedback Loop) | in progress · Phase 1a + 1b.2 + 1c + 1d landed 2026-05-09 | 2026-05-07 | — |
| #000024 | 5T Phase 1b + Dav1DPrometheus vocabulary alignment | closed · landed 2026-05-08 | 2026-05-07 | — |
| #000023 | 5S Phase 1b: Syllogism · Synthesis · Semiotics | closed · landed 2026-05-08 | 2026-05-07 | — |
| #000022 | Adapter LossReport (PRD I9 analogue) | closed · landed 2026-05-07 | 2026-05-07 | — |
| #000021 | 5S/5T/5R benchmark fixtures + harness | closed · Phase 1a + 2 landed 2026-05-08 | 2026-05-07 | — |
| #000020 | Capital-cost ledger (8-capital queues) | closed · landed 2026-05-07 | 2026-05-07 | — |
| #000019 | Specification methodology for π* and V | closed · landed 2026-05-07 | 2026-05-07 | — |
| #000018 | Adversarial soft-hash covert-channel analysis | open · awaiting go/no-go | 2026-05-07 | — |
| #000017 | Memory-root: lifelong learning audit chain | closed · landed 2026-05-07 | 2026-05-07 | — |
| #000016 | ZK Phase-2 frontier proof (concretize) | open · awaiting go/no-go | 2026-05-07 | — |
| #000015 | π* domain library + cross-domain composition | closed · landed 2026-05-07 | 2026-05-07 | — |
| #000014 | SelfModel: schema, falsification, integration | closed · landed 2026-05-07 | 2026-05-07 | — |
| #000013 | Spatial-temporal substrate (Merkle-AGI v7-W) | open · awaiting go/no-go | 2026-05-07 | — |
| #000012 | Selection & consensus protocol (Merkle-AGI v8) | in progress · Phase 1a + 1b (ForkScore CLI) landed 2026-05-09 | 2026-05-07 | — |
| #000011 | SOFT_PREFLIGHT_HINT model-assisted sidecar | closed · landed 2026-05-04 (zero-shot full impl) | 2026-05-04 | D1 (preserves) |
| #000010 | Meta-Cognition Preflight Guard (M0 / MCTL) | closed · landed 2026-05-03 (Phases 1–4); DAG binding shipped via #000009 | 2026-05-03 | D1, D3 |
| #000009 | Preflight run-DAG node binding (#000008+#000010) | closed · re-landed 2026-05-04 (§8 corrections: reject-path DAG, nested CTI clauses) | 2026-05-03 | D3, D4 |
| #000008 | Broad-quantifier preflight guard | closed · landed in 4f2b5a6; Phase 5 DAG binding split into #000009 |
2026-05-02 | — |
| #000007 | Query-layer hyphen folding | closed · 2026-05-02 | 2026-05-02 | — |
| #000006 | Bench-emergent findings (rolling research log) | open · rolling | 2026-05-02 | — |
| #000005 | Label ladder migration (POINTER-LINKED → …) | closed · 2026-05-02 | 2026-05-01 | D7 |
| #000004 | Directive coverage in bench summary | closed · acd1f9c |
2026-05-01 | D8 |
| #000003 | Anchor-class warrant generalization (Module H+) | closed · 2026-05-02 | 2026-05-01 | D6 |
| #000002 | Reference-Frame Polarity Contract (Module L) | closed · 2026-05-02 | 2026-05-01 | D3 |
| #000001 | Retrieval-keywords audit gap | closed · 2026-05-02 | 2026-05-01 | D4 |
Next ID
000034