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| # SPDX-License-Identifier: Apache-2.0 | |
| # © 2026 SZL Holdings · Stephen P. Lutar · ORCID 0009-0001-0110-4173 | |
| """szl_lambda_gate — the Lambda-Spine aggregator (Λ) as a universal kernel. | |
| A pure-PyTorch (universal) kernel from SZL Holdings for the Hugging Face | |
| Kernel Hub. It ports the canonical Λ aggregator into a differentiable, | |
| torch.compile-friendly torch op: | |
| Λ(x) = ∏ xᵢ^{wᵢ}, Σwᵢ = 1, wᵢ > 0, xᵢ ∈ [0,1] (weighted geometric mean) | |
| plus an ADVISORY governance gate (Λ vs threshold), the four carried axioms as | |
| real runtime self-checks, and pure nn.Module layers. | |
| Load from the Hub: | |
| import torch | |
| from kernels import get_kernel | |
| lg = get_kernel("SZLHOLDINGS/szl-lambda-gate", version=1, trust_remote_code=True) | |
| axes = torch.tensor([0.9, 0.8, 0.95]) # axis scores in [0,1] | |
| score = lg.lambda_aggregate(axes) # Λ(x) ∈ [0,1] | |
| res = lg.lambda_gate(axes, threshold=0.5) # ADVISORY pass/fail | |
| print(res.score, res.passed, res.advisory) | |
| # szl.lambda/v1 strict gate (spec/szl.lambda.v1.json): no clamping, no | |
| # renormalisation, tau required; bad input -> verdict BLOCK with a code. | |
| w = torch.tensor([0.4, 0.3, 0.3], dtype=torch.float64) | |
| v1 = lg.lambda_v1_gate(axes.double(), w, tau=0.8) | |
| print(v1.verdict, v1.code) # GO / NO_GO / ABSTAIN / BLOCK | |
| WHAT Λ IS / IS NOT (HONESTY — SZL Holdings doctrine v11): | |
| Λ is the weighted-geometric-mean aggregator — a non-compensatory, ADVISORY | |
| way to roll axis scores in [0,1] into one number (any zeroed axis zeroes the | |
| aggregate). It is NOT "proven trust" and NOT a closed theorem: Λ-uniqueness | |
| remains Conjecture 1 (OPEN — an unresolved CAUCHY_ND step plus a missing | |
| symmetry axiom). Label it honestly everywhere; a gate "pass" is advisory. | |
| PROVENANCE: backed by the Lean 4 formalization szl-holdings/lutar-lean | |
| (749 declarations / 14 axioms / 163 tracked sorries), | |
| DOI 10.5281/zenodo.20434308 (lutar-lean). Λ uniqueness = Conjecture 1 (open). | |
| """ | |
| from typing import Optional | |
| import torch | |
| from . import layers # noqa: F401 (must be importable for Hub layer mapping) | |
| # CONSOLIDATION (Wave D): the governed-norm universal kernel is folded in here | |
| # as a subpackage so szl-lambda-gate is the ONE canonical kernels package. The | |
| # source repo szl-holdings/szl-governed-norm is DEPRECATED and points here; | |
| # nothing was deleted (additive, reversible copy). Λ stays Conjecture 1. | |
| from . import governed_norm # noqa: F401 (folded-in governed normalization kernels) | |
| from ._lambda import YUYAY_AXES, YUYAY_FLOORS, LambdaGateResult | |
| from ._lambda import _resolve_threshold | |
| from ._lambda import find_axiom_violation as _find_axiom_violation | |
| from ._lambda import is_bounded_by_max as _is_bounded_by_max | |
| from ._lambda import is_egyptian_exact as _is_egyptian_exact | |
| from ._lambda import is_homogeneous as _is_homogeneous | |
| from ._lambda import is_monotone as _is_monotone | |
| from ._lambda import lambda_aggregate as _lambda_aggregate | |
| from ._lambda import lambda_gate as _lambda_gate | |
| from ._lambda import lambda_gate_batch as _lambda_gate_batch | |
| from ._lambda import selfcheck as _selfcheck | |
| from ._lambda import yuyay_weights as _yuyay_weights | |
| # szl.lambda/v1 strict entry (spec/szl.lambda.v1.json): validated, coded, tau required. | |
| from ._v1 import LambdaV1Error, LambdaV1GateResult, lambda_v1, lambda_v1_gate | |
| __all__ = [ | |
| "lambda_aggregate", | |
| "lambda_gate", | |
| "lambda_gate_batch", | |
| "LambdaGateResult", | |
| "lambda_v1", | |
| "lambda_v1_gate", | |
| "LambdaV1Error", | |
| "LambdaV1GateResult", | |
| "is_monotone", | |
| "is_egyptian_exact", | |
| "is_bounded_by_max", | |
| "is_homogeneous", | |
| "find_axiom_violation", | |
| "selfcheck", | |
| "yuyay_weights", | |
| "YUYAY_AXES", | |
| "YUYAY_FLOORS", | |
| "layers", | |
| "DOCTRINE_FOOTER", | |
| "PROVENANCE", | |
| "__version__", | |
| # ---- folded-in governed-norm kernels (Wave D consolidation) ---- | |
| "governed_norm", | |
| "rms_norm", | |
| "layer_norm", | |
| "fused_add_rms_norm", | |
| ] | |
| # ---- folded-in governed-norm surface (Wave D consolidation) ---------------- # | |
| # Convenience top-level re-exports of the governed normalization kernels that | |
| # were absorbed from szl-governed-norm. The full surface (ReceiptChain, | |
| # emit_receipt, receipt_* helpers, selfcheck, layers) lives under | |
| # ``szl_lambda_gate.governed_norm``. These are a DIFFERENT kernel family from Λ | |
| # (normalization, not the Λ aggregator); Λ itself remains Conjecture 1 | |
| # (advisory, uniqueness OPEN) and is never described as proven trust. | |
| rms_norm = governed_norm.rms_norm | |
| layer_norm = governed_norm.layer_norm | |
| fused_add_rms_norm = governed_norm.fused_add_rms_norm | |
| __version__ = "0.2.0" | |
| DOCTRINE_FOOTER = ( | |
| "SZL Holdings · Λ = Conjecture 1 (ADVISORY, weighted geometric mean) · " | |
| "uniqueness OPEN · NOT proven trust · honesty over checklist" | |
| ) | |
| PROVENANCE = { | |
| "lean_repo": "szl-holdings/lutar-lean", | |
| "lean_declarations": 749, | |
| "lean_axioms": 14, | |
| "lean_tracked_sorries": 163, | |
| "doi_lutar_lean": "10.5281/zenodo.20434308", | |
| "lambda_status": "Conjecture 1 (open) — uniqueness unproven; advisory only", | |
| } | |
| def lambda_aggregate( | |
| axes: torch.Tensor, | |
| weights: Optional[torch.Tensor] = None, | |
| ) -> torch.Tensor: | |
| """Λ(x) = ∏ xᵢ^{wᵢ}, the weighted geometric mean over the last dim of axes. | |
| See ``szl_lambda_gate._lambda.lambda_aggregate``. Axis scores in [0,1], | |
| uniform weights when ``weights`` is None. Differentiable, batched, and | |
| torch.compile-friendly. ADVISORY — NOT proven trust. | |
| """ | |
| return _lambda_aggregate(axes, weights=weights) | |
| def lambda_gate( | |
| axes: torch.Tensor, | |
| weights: Optional[torch.Tensor] = None, | |
| threshold: Optional[float] = None, | |
| ) -> LambdaGateResult: | |
| """ADVISORY Λ governance gate: returns LambdaGateResult(score, passed, | |
| threshold, advisory). ``passed`` = Λ(axes) >= threshold. ``threshold`` must | |
| lie within Λ's range [0,1] (a value outside it is a misconfiguration — a | |
| negative threshold would advisory-pass a fully-failing Λ=0 candidate — and | |
| is rejected). Omitting it uses the legacy 0.5 with a DeprecationWarning | |
| (policy_tau is 0.8); pass it, or use ``lambda_v1_gate(axes, weights, tau)``. | |
| A pass is an advisory, non-compensatory signal — NOT proven trust | |
| (Λ = Conjecture 1). | |
| """ | |
| threshold = _resolve_threshold(threshold, stacklevel=2) | |
| return _lambda_gate(axes, weights=weights, threshold=threshold) | |
| def lambda_gate_batch( | |
| candidates: torch.Tensor, | |
| weights: Optional[torch.Tensor] = None, | |
| threshold: Optional[float] = None, | |
| ) -> LambdaGateResult: | |
| """ADVISORY batch gate over many candidate action-vectors (shape (..., N, k)). | |
| The realistic per-inference-step call: score all N candidates at once and | |
| return the advisory pass mask. Returns LambdaGateResult(score, passed, | |
| threshold, advisory) with score/passed of shape (..., N). ``threshold`` | |
| must lie within Λ's range [0,1] (same domain guard as ``lambda_gate``); | |
| omitting it uses the legacy 0.5 with a DeprecationWarning. | |
| NOT proven trust. | |
| """ | |
| threshold = _resolve_threshold(threshold, stacklevel=2) | |
| return _lambda_gate_batch(candidates, weights=weights, threshold=threshold) | |
| def yuyay_weights(dtype: torch.dtype = torch.float64, device=None) -> torch.Tensor: | |
| """Canonical 13-axis Yuyay Λ weight vector (uniform 1/13), ADVISORY only. | |
| Use as ``weights`` over the 13 ``YUYAY_AXES``. The yuyay_v3 gate is a | |
| conjunctive AND with per-axis floors (``YUYAY_FLOORS``); this Λ roll-up is | |
| the weighted geometric mean and is ADVISORY — NOT proven trust. | |
| """ | |
| return _yuyay_weights(dtype=dtype, device=device) | |
| def find_axiom_violation(k=5, trials=200, weights=None, seed=0, tol=1e-6): | |
| """Random-search for any A1–A4 violation; returns (axiom, axes, weights) or | |
| None. An honest falsification attempt — finding nothing is evidence, not a | |
| proof (Λ-uniqueness is Conjecture 1, open). | |
| """ | |
| return _find_axiom_violation(k=k, trials=trials, weights=weights, seed=seed, tol=tol) | |
| def selfcheck(k=5, trials=64, seed=0) -> dict: | |
| """Expose the A1–A4 empirical self-checks + version as a single verdict dict. | |
| Callable as get_kernel(...).selfcheck(). EMPIRICAL checks on sampled inputs, | |
| NOT a proof of Λ-uniqueness (Conjecture 1, open). Advisory only. | |
| """ | |
| return _selfcheck(k=k, trials=trials, seed=seed) | |
| # ---- axiom runtime self-checks (real, verifiable; NOT a uniqueness proof) -- # | |
| def is_monotone(axes, weights=None, delta=0.05, tol=1e-7) -> bool: | |
| """A1 IsMonotone self-check: Λ is non-decreasing in each axis (on this data).""" | |
| return _is_monotone(axes, weights=weights, delta=delta, tol=tol) | |
| def is_egyptian_exact(c, k=3, weights=None, tol=1e-5) -> bool: | |
| """A3 IsEgyptianExact self-check: Λ(c, …, c) = c.""" | |
| return _is_egyptian_exact(c, k=k, weights=weights, tol=tol) | |
| def is_bounded_by_max(axes, weights=None, tol=1e-6) -> bool: | |
| """A4 IsBounded self-check: Λ(x) ≤ maxᵢ xᵢ.""" | |
| return _is_bounded_by_max(axes, weights=weights, tol=tol) | |
| def is_homogeneous(axes, t, weights=None, tol=1e-5) -> bool: | |
| """A2 IsHomogeneous(degree 1) self-check: Λ(t·x) = t·Λ(x).""" | |
| return _is_homogeneous(axes, t, weights=weights, tol=tol) | |