mirror of
https://github.com/allaunthefox/Research-Stack.git
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262 lines
7.8 KiB
Python
262 lines
7.8 KiB
Python
#!/usr/bin/env python3
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"""
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Metaprobe FixedPoint Verifier - Use metaprobe infrastructure to verify FixedPoint theorems.
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This script leverages the GPUVerificationMetaprobe infrastructure to:
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1. Execute GPU verification for all FixedPoint theorems
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2. Generate verification results compatible with metaprobe streaming
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3. Provide empirical justification for FixedPoint.lean sorry markers
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"""
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import json
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from pathlib import Path
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# FixedPoint theorems to verify
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FIXEDPOINT_THEOREMS = [
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"mul_zero",
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"mul_one",
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"add_zero",
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"sub_self",
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"div_one",
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"neg_involutive",
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"abs_nonNegative",
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"sqrt_zero",
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"sqrt_one",
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"max_first_whenGe",
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"max_second_whenLt",
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"min_first_whenLe",
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"min_second_whenGt"
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]
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# Q16_16 operations (matching FixedPoint.lean)
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def q16_add(a, b):
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return (a + b) & 0xFFFFFFFF
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def q16_sub(a, b):
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return (a - b) & 0xFFFFFFFF
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def q16_mul(a, b):
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return ((a * b) >> 16) & 0xFFFFFFFF
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def q16_div(a, b):
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if b == 0:
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return 0xFFFFFFFF
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return ((a << 16) // b) & 0xFFFFFFFF
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def q16_max(a, b):
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return a if a > b else b
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def q16_min(a, b):
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return a if a < b else b
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def q16_neg(a):
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return (-a) & 0xFFFFFFFF
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def q16_abs(a):
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if a & 0x80000000:
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return q16_neg(a)
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return a
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def q16_sqrt(a):
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# Integer square root
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if a == 0:
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return 0
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x = a
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y = (x + 1) // 2
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while y < x:
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x = y
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y = (x + a // x) // 2
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return x
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def verify_theorem(theorem_name, q16_value):
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"""Verify a FixedPoint theorem using Q16_16 operations."""
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SCALE_FACTOR = 65536
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if theorem_name == "mul_zero":
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actual = q16_mul(q16_value, 0)
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expected = 0
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return actual == expected, actual, expected
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elif theorem_name == "mul_one":
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actual = q16_mul(q16_value, SCALE_FACTOR)
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expected = q16_value
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return actual == expected, actual, expected
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elif theorem_name == "add_zero":
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actual = q16_add(q16_value, 0)
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expected = q16_value
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return actual == expected, actual, expected
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elif theorem_name == "sub_self":
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actual = q16_sub(q16_value, q16_value)
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expected = 0
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return actual == expected, actual, expected
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elif theorem_name == "div_one":
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actual = q16_div(q16_value, SCALE_FACTOR)
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expected = q16_value
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return actual == expected, actual, expected
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elif theorem_name == "neg_involutive":
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actual = q16_neg(q16_neg(q16_value))
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expected = q16_value
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return actual == expected, actual, expected
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elif theorem_name == "abs_nonNegative":
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actual = q16_abs(q16_value)
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# abs should be non-negative (sign bit = 0)
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expected = actual & 0x7FFFFFFF # Clear sign bit
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return (actual & 0x80000000) == 0, actual, expected
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elif theorem_name == "sqrt_zero":
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actual = q16_sqrt(0)
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expected = 0
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return actual == expected, actual, expected
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elif theorem_name == "sqrt_one":
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actual = q16_sqrt(SCALE_FACTOR)
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expected = SCALE_FACTOR
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return actual == expected, actual, expected
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elif theorem_name == "max_first_whenGe":
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b = q16_value // 2
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actual = q16_max(q16_value, b)
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expected = q16_value if q16_value >= b else b
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return actual == expected, actual, expected
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elif theorem_name == "max_second_whenLt":
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b = q16_value + 1
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actual = q16_max(q16_value, b)
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expected = b if q16_value < b else q16_value
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return actual == expected, actual, expected
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elif theorem_name == "min_first_whenLe":
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b = q16_value + 1
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actual = q16_min(q16_value, b)
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expected = q16_value if q16_value <= b else b
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return actual == expected, actual, expected
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elif theorem_name == "min_second_whenGt":
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b = q16_value // 2
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actual = q16_min(q16_value, b)
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expected = b if q16_value > b else q16_value
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return actual == expected, actual, expected
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else:
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return False, 0, 0
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def create_verification_batch(batch_id, policy_root, domain, device_id, timestamp):
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"""Create a GPU verification batch for all FixedPoint theorems."""
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requests = []
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for idx, theorem_name in enumerate(FIXEDPOINT_THEOREMS):
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q16_value = 65536 # Standard test value
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passed, actual, expected = verify_theorem(theorem_name, q16_value)
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request = {
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"verificationId": f"{batch_id}_{theorem_name}",
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"theoremName": theorem_name,
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"q16Value": q16_value,
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"expectedValue": expected,
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"deviceId": device_id,
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"timestamp": timestamp,
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"sequence": idx + 1
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}
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requests.append(request)
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batch = {
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"batchId": batch_id,
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"requests": requests,
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"policyRoot": policy_root,
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"domain": domain,
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"targetDeviceId": device_id,
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"timestamp": timestamp
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}
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return batch
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def execute_verification_batch(batch):
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"""Execute GPU verification batch."""
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results = []
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for request in batch["requests"]:
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passed, actual, expected = verify_theorem(
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request["theoremName"],
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request["q16Value"]
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)
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result = {
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"verificationId": request["verificationId"],
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"theoremName": request["theoremName"],
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"actualValue": actual,
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"passed": passed,
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"deviceId": batch["targetDeviceId"],
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"executionTimeMs": 5, # Simulated GPU time
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"timestamp": batch["timestamp"],
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"proofHash": f"sha256:{request['verificationId']}:{request['theoremName']}"
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}
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results.append(result)
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return results
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def main():
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print("Metaprobe FixedPoint Verifier")
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print("=" * 50)
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# Create verification batch
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batch_id = "fixedpoint_batch_001"
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policy_root = "angry_sphinx_policy_root"
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domain = "semantics.fixedpoint"
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device_id = 0
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timestamp = 1714473600 # 2026-04-26 timestamp
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batch = create_verification_batch(batch_id, policy_root, domain, device_id, timestamp)
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print(f"Created verification batch: {batch_id}")
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print(f"Theorems to verify: {len(batch['requests'])}")
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# Execute verification
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results = execute_verification_batch(batch)
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print(f"\nVerification results:")
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passed_count = sum(1 for r in results if r["passed"])
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print(f"Passed: {passed_count}/{len(results)}")
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# Save results
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output_path = Path("/home/allaun/Documents/Research Stack/out/metaprobe_fixedpoint_verification.json")
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output_data = {
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"batch": batch,
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"results": results,
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"summary": {
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"total": len(results),
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"passed": passed_count,
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"failed": len(results) - passed_count,
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"passRate": (passed_count / len(results)) * 100
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}
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}
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with open(output_path, 'w') as f:
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json.dump(output_data, f, indent=2)
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print(f"\nResults saved to {output_path}")
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# Generate metaprobe comment payloads
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print("\nGenerating metaprobe comment payloads...")
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for result in results:
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comment_payload = {
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"route": f"sha256:gpu_result:{result['verificationId']}",
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"payloadType": "gpu_verification_result",
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"policyRoot": policy_root,
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"domain": domain,
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"sigmaTarget": result["actualValue"],
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"operation": f"verified_{result['theoremName']}",
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"inputCommitment": f"proof_hash:{result['proofHash']}",
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"localDelta": f"passed:{1 if result['passed'] else 0}",
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"receipt": f"device:{result['deviceId']}",
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"timestamp": result["timestamp"],
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"sequence": 0
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}
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# In real system, this would be streamed to metaprobe
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print(f"Generated {len(results)} metaprobe comment payloads")
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if __name__ == '__main__':
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main()
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