/- Copyright (c) 2026 Sovereign Research Stack. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Research Stack Team

SigmaGateBenchmark.lean — Creation OS Benchmark Verification

Auto-generated from Creation OS benchmarks/suite/full_results.json
via scripts/creation_os_shim.py (JSON → Lean #eval shim).

Per AGENTS.md §1.4: Float conversion at I/O boundary only.
-/
import Semantics.SigmaGate

namespace Semantics.SigmaGate.Benchmark

open Semantics.SigmaGate
open Semantics.SigmaGate.Conformal

-- ════════════════════════════════════════════════════════════
-- §1  Creation OS Benchmark Data (Auto-Imported)
-- ════════════════════════════════════════════════════════════

/-- Benchmark rows from Creation OS multi-dataset σ-gate suite (SCI-6).
    Schema: cos.suite_sci.v1
    Source: https://github.com/spektre-labs/creation-os
    BitNet-b1.58-2B, cos chat, pipeline mode filter.
    -/
/-- Dataset: truthfulqa, N=817, accuracy=0.3357 -/
def dataset_truthfulqa : ShimScoredItem := ⟨
  0.391316,  -- sigma_mean
  0.335714,  -- accuracy
  "truthfulqa"
⟩

/-- Threshold for truthfulqa: α=0.8, τ=0.6552 -/
def threshold_truthfulqa : ConformalThreshold := {
  tau := ⟨0x53DB⟩,
  alpha := ⟨0x6665⟩,
  delta := ⟨0x0001⟩,
  calibratedOn := 817
}

/-- Dataset: arc_challenge, N=1172, accuracy=0.3371 -/
def dataset_arc_challenge : ShimScoredItem := ⟨
  0.507841,  -- sigma_mean
  0.337148,  -- accuracy
  "arc_challenge"
⟩

/-- Threshold for arc_challenge: α=0.8, τ=0.6500 -/
def threshold_arc_challenge : ConformalThreshold := {
  tau := ⟨0x5332⟩,
  alpha := ⟨0x6665⟩,
  delta := ⟨0x0001⟩,
  calibratedOn := 1172
}

/-- Dataset: arc_easy, N=2376, accuracy=0.4197 -/
def dataset_arc_easy : ShimScoredItem := ⟨
  0.477290,  -- sigma_mean
  0.419742,  -- accuracy
  "arc_easy"
⟩

/-- Threshold for arc_easy: α=0.8, τ=0.6500 -/
def threshold_arc_easy : ConformalThreshold := {
  tau := ⟨0x5332⟩,
  alpha := ⟨0x6665⟩,
  delta := ⟨0x0001⟩,
  calibratedOn := 2376
}

/-- Dataset: gsm8k, N=1319, accuracy=0.1250 -/
def dataset_gsm8k : ShimScoredItem := ⟨
  0.481380,  -- sigma_mean
  0.125000,  -- accuracy
  "gsm8k"
⟩

/-- Threshold for gsm8k: α=0.8, τ=0.3300 -/
def threshold_gsm8k : ConformalThreshold := {
  tau := ⟨0x2A3D⟩,
  alpha := ⟨0x6665⟩,
  delta := ⟨0x0001⟩,
  calibratedOn := 1319
}

/-- Dataset: hellaswag, N=500, accuracy=0.2854 -/
def dataset_hellaswag : ShimScoredItem := ⟨
  0.533180,  -- sigma_mean
  0.285417,  -- accuracy
  "hellaswag"
⟩

/-- Threshold for hellaswag: α=0.8, τ=0.6500 -/
def threshold_hellaswag : ConformalThreshold := {
  tau := ⟨0x5332⟩,
  alpha := ⟨0x6665⟩,
  delta := ⟨0x0001⟩,
  calibratedOn := 500
}

-- ════════════════════════════════════════════════════════════
-- §2  Verification #eval Witnesses
-- ════════════════════════════════════════════════════════════

/-- Verify all Creation OS datasets against conservative threshold.
    Each dataset is checked for valid threshold structure.
    -/
#eval! isValidConformalThreshold threshold_truthfulqa  -- truthfulqa
#eval! isValidConformalThreshold threshold_arc_challenge  -- arc_challenge
#eval! isValidConformalThreshold threshold_arc_easy  -- arc_easy
#eval! isValidConformalThreshold threshold_gsm8k  -- gsm8k
#eval! isValidConformalThreshold threshold_hellaswag  -- hellaswag

/-- Verify empirical coverage: does threshold structure match dataset?
    This is a structural check, not a full statistical test.
    -/
#eval! verifyShimCoverage threshold_truthfulqa #[dataset_truthfulqa]  -- truthfulqa
#eval! verifyShimCoverage threshold_arc_challenge #[dataset_arc_challenge]  -- arc_challenge
#eval! verifyShimCoverage threshold_arc_easy #[dataset_arc_easy]  -- arc_easy
#eval! verifyShimCoverage threshold_gsm8k #[dataset_gsm8k]  -- gsm8k
#eval! verifyShimCoverage threshold_hellaswag #[dataset_hellaswag]  -- hellaswag

/-- Assemble all datasets for combined threshold verification.
    Tests if the conservative threshold generalizes across tasks.
    -/
def allDatasets : Array ShimScoredItem := #[
  dataset_truthfulqa,
  dataset_arc_challenge,
  dataset_arc_easy,
  dataset_gsm8k,
  dataset_hellaswag
]

/-- Combined verification across all tasks. -/
#eval! verifyShimCoverage ConformalThreshold.conservative allDatasets

-- ════════════════════════════════════════════════════════════
-- §3  Sigma Score Reconstruction from Entropy Measures
-- ════════════════════════════════════════════════════════════

/-- Convert Creation OS sigma_mean to Lean SigmaScore.
    Float bridge at I/O boundary (AGENTS.md §1.4 compliant).
    -/
def score_truthfulqa : SigmaScore := ⟨⟨0x3216⟩, "creation_os_truthfulqa", 1⟩
#eval! score_truthfulqa.value

def score_arc_challenge : SigmaScore := ⟨⟨0x4100⟩, "creation_os_arc_challenge", 1⟩
#eval! score_arc_challenge.value

def score_arc_easy : SigmaScore := ⟨⟨0x3D17⟩, "creation_os_arc_easy", 1⟩
#eval! score_arc_easy.value

def score_gsm8k : SigmaScore := ⟨⟨0x3D9D⟩, "creation_os_gsm8k", 1⟩
#eval! score_gsm8k.value

def score_hellaswag : SigmaScore := ⟨⟨0x443E⟩, "creation_os_hellaswag", 1⟩
#eval! score_hellaswag.value

-- ════════════════════════════════════════════════════════════
-- §4  Threshold Calibration Cross-Check
-- ════════════════════════════════════════════════════════════

/-- Conservative threshold (α=0.80, δ=0.10) cross-check.
    Verifies structural validity against 5.5σ target.
    -/
#eval! isValidConformalThreshold ConformalThreshold.conservative

/-- High-confidence threshold (targeting 6.5σ) cross-check.
    Structural validity only — full 6.5σ requires 1M+ samples.
    -/
#eval! isValidConformalThreshold ConformalThreshold.sixSigma

end Semantics.SigmaGate.Benchmark