#!/usr/bin/env python3 """Creation OS Benchmark Shim — JSON → Lean #eval Verification This script reads Creation OS benchmark outputs (JSON) and generates Lean #eval test cases for verification against SigmaGate fixed-point implementations. Usage: python3 5-Applications/scripts/creation_os_shim.py \ --input benchmarks/suite/full_results.json \ --output 0-Core-Formalism/lean/Semantics/Semantics/SigmaGateBenchmark.lean Per AGENTS.md §1.4: Float conversion is allowed at I/O boundaries only. This is the JSON marshalling layer, not core logic. """ import json import argparse import sys from pathlib import Path def q0_16_from_float(f: float) -> str: """Convert float to Q0_16 hex literal. Q0_16 range: [-1, 0.999985], resolution ~0.0000305. Clamp to valid range. """ clamped = max(-1.0, min(0.999985, f)) if clamped < 0: val = int((1.0 + clamped) * 32767) # Two's complement approximation val |= 0x8000 # Sign bit else: val = int(clamped * 32767) return f"⟨0x{val:04X}⟩" def accuracy_to_label(accuracy: float) -> str: """Convert accuracy to Lean Label. >0.5 = correct.""" return "Label.correct" if accuracy > 0.5 else "Label.incorrect" def generate_lean_benchmark(rows: list[dict]) -> str: """Generate Lean benchmark module from Creation OS data.""" lines = [ "/- 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 5-Applications/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.", " -/", ] for i, row in enumerate(rows): name = row["name"] n_rows = row["n_rows"] n_scored = row["n_scored"] accuracy_all = row["accuracy_all"] sigma_mean = row["sigma_mean"] alpha = row["alpha"] delta = row["delta"] tau = row["tau"] tau_valid = row["tau_valid"] risk_ucb = row["risk_ucb"] sigma_hex = q0_16_from_float(sigma_mean) tau_hex = q0_16_from_float(tau) alpha_hex = q0_16_from_float(alpha) lines.append(f"/-- Dataset: {name}, N={n_rows}, accuracy={accuracy_all:.4f} -/") lines.append(f"def dataset_{name} : ShimScoredItem := ⟨") lines.append(f" {sigma_mean:.6f}, -- sigma_mean") lines.append(f" {accuracy_all:.6f}, -- accuracy") lines.append(f' "{name}"') lines.append("⟩") lines.append("") # Threshold for this dataset lines.append(f"/-- Threshold for {name}: α={alpha}, τ={tau:.4f} -/") lines.append(f"def threshold_{name} : ConformalThreshold := {{") lines.append(f" tau := {tau_hex},") lines.append(f" alpha := {alpha_hex},") lines.append(" delta := ⟨0x0001⟩,") lines.append(f" calibratedOn := {n_rows}") lines.append("}") lines.append("") lines.extend([ "-- ════════════════════════════════════════════════════════════", "-- §2 Verification #eval Witnesses", "-- ════════════════════════════════════════════════════════════", "", "/-- Verify all Creation OS datasets against conservative threshold.", " Each dataset is checked for valid threshold structure.", " -/", ]) for i, row in enumerate(rows): name = row["name"] lines.append(f'#eval! isValidConformalThreshold threshold_{name} -- {name}') lines.extend([ "", "/-- Verify empirical coverage: does threshold structure match dataset?", " This is a structural check, not a full statistical test.", " -/", ]) for i, row in enumerate(rows): name = row["name"] lines.append(f'#eval! verifyShimCoverage threshold_{name} #[dataset_{name}] -- {name}') lines.extend([ "", "/-- Assemble all datasets for combined threshold verification.", " Tests if the conservative threshold generalizes across tasks.", " -/", "def allDatasets : Array ShimScoredItem := #[", ]) for i, row in enumerate(rows): name = row["name"] comma = "," if i < len(rows) - 1 else "" lines.append(f" dataset_{name}{comma}") lines.append("]") lines.append("") lines.append("/-- Combined verification across all tasks. -/") lines.append("#eval! verifyShimCoverage ConformalThreshold.conservative allDatasets") lines.append("") lines.extend([ "-- ════════════════════════════════════════════════════════════", "-- §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).", " -/", ]) for i, row in enumerate(rows): name = row["name"] sigma_mean = row["sigma_mean"] sigma_hex = q0_16_from_float(sigma_mean) lines.append(f"def score_{name} : SigmaScore := ⟨{sigma_hex}, \"creation_os_{name}\", 1⟩") lines.append(f"#eval! score_{name}.value") lines.append("") lines.extend([ "-- ════════════════════════════════════════════════════════════", "-- §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", "", ]) return "\n".join(lines) def main(): parser = argparse.ArgumentParser(description="Creation OS → Lean shim") parser.add_argument("--input", required=True, help="Path to Creation OS JSON") parser.add_argument("--output", required=True, help="Path to write Lean file") args = parser.parse_args() with open(args.input, "r") as f: data = json.load(f) if "rows" not in data: print("Error: JSON missing 'rows' field", file=sys.stderr) sys.exit(1) rows = data["rows"] lean_code = generate_lean_benchmark(rows) out_path = Path(args.output) out_path.parent.mkdir(parents=True, exist_ok=True) with open(out_path, "w") as f: f.write(lean_code) print(f"Wrote {len(rows)} benchmark rows to {args.output}") print(f"Lines of Lean code: {len(lean_code.splitlines())}") if __name__ == "__main__": main()