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489 lines
17 KiB
Python
489 lines
17 KiB
Python
#!/usr/bin/env python3
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"""Lean Trace Bridge — captures tactic-level goal state transitions.
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Tier 2 MVP: splits a Lean proof into tactic steps, replays each prefix
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through the proof worker, and builds a structured trace with goal-state
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snapshots captured from Lean's error output.
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Usage:
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python3 lean_trace_bridge.py <canary_receipt.jsonl [index]> [--out trace.json]
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python3 lean_trace_bridge.py --code 'theorem t : 1+1=2 := by omega' --name t [--out trace.json]
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"""
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import hashlib
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import json
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import os
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import re
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import subprocess
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import sys
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import time
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import uuid
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from pathlib import Path
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PROOF_SERVER_TOKEN = os.environ.get("PROOF_SERVER_TOKEN", "")
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if not PROOF_SERVER_TOKEN:
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tf = os.environ.get("PROOF_SERVER_TOKEN_FILE",
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os.path.expanduser("~/.config/ene/language-proof-server.token"))
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try:
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PROOF_SERVER_TOKEN = Path(tf).read_text().strip()
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except (FileNotFoundError, OSError):
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PROOF_SERVER_TOKEN = ""
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WORKER_URL = os.environ.get("CANARY_WORKER_URL", "http://100.72.130.76:8787")
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def split_tactic_lines(code: str) -> list[str]:
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"""Split a Lean proof into individual tactic steps.
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Handles single-line proofs (by simp), semicolon-separated (by simp; omega),
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and indented multi-line blocks (induction with case branches).
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"""
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lines = code.strip().split("\n")
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# Find the `by` block
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by_content_lines = []
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found_by = False
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for line in lines:
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stripped = line.strip()
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# Detect `:= by` on the same line
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if not found_by and ":= by " in stripped:
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parts = stripped.split(":= by ", 1)
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by_content_lines.append(parts[1].strip())
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found_by = True
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continue
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if not found_by and ":= by" in stripped:
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found_by = True
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continue
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if not found_by:
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# Check for standalone `by` on this line
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if stripped == "by":
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found_by = True
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continue
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continue # still in header
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# We're in the by-block
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if stripped and not stripped.startswith("--") and not stripped.startswith("/-"):
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by_content_lines.append(stripped)
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by_content = "\n".join(by_content_lines).strip()
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if not by_content:
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return [code]
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# Merge continuation lines into their parent tactic:
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# - Lines starting with | are induction case branches
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# - Lines at deeper indent continue the previous tactic
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# - Then split on semicolons for finer granularity
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merged = []
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current = ""
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for line in by_content_lines:
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stripped = line.strip()
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if not stripped:
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continue
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if current and not stripped.startswith("|"):
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# Check if this is a continuation (indented) or new tactic
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if line[0].isspace():
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current += " " + stripped
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else:
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merged.append(current.strip())
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current = stripped
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else:
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current += (" " if current else "") + stripped
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if current.strip():
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merged.append(current.strip())
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# Split on semicolons for truly independent steps
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tactics = []
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for m in merged:
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parts = re.split(r';', m)
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tactics.extend(p.strip() for p in parts if p.strip())
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return tactics if tactics else [code]
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# Fallback: split on semicolons if we got nothing
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if not tactics:
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for part in re.split(r'[;\n]', by_content):
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t = part.strip()
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if t:
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tactics.append(t)
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return tactics if tactics else [code]
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def sha256(text: str) -> str:
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return hashlib.sha256(text.encode("utf-8")).hexdigest()
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def prove_step(code: str, timeout_s: int = 120) -> dict:
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"""Send Lean code to the proof worker."""
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result = subprocess.run(
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["curl", "-s", "--connect-timeout", "10", "-X", "POST",
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f"{WORKER_URL}/lean/check",
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"-H", "Content-Type: application/json",
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"-H", f"Authorization: Bearer {PROOF_SERVER_TOKEN}",
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"-d", json.dumps({"code": code, "name": "trace_step"})],
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capture_output=True, text=True, timeout=timeout_s,
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)
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if result.returncode != 0:
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return {"ok": False, "error": f"curl: {result.stderr[:200]}", "stdout": "", "stderr": ""}
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try:
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resp = json.loads(result.stdout)
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receipt = resp.get("receipt", resp)
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return {
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"ok": resp.get("ok", False),
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"stdout": receipt.get("stdout", ""),
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"stderr": receipt.get("stderr", ""),
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"returncode": receipt.get("returncode", -1),
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"elapsed_ms": receipt.get("elapsed_ms", 0),
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"error": receipt.get("error", ""),
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}
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except json.JSONDecodeError as e:
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return {"ok": False, "error": f"json: {e}", "stdout": result.stdout[:500], "stderr": ""}
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def extract_goal_text(output: str, is_error: bool = False) -> str:
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"""Extract the goal state from Lean's output.
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Lean prints the goal state when a tactic block is incomplete.
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The goal appears after 'unsolved goals' or as the error context.
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"""
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# Try to find the goal statement
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patterns = [
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r"(?<=unsolved goals\n).*?(?=\n\n)",
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r"(?<=⊢\n).*?(?=\n|$)",
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r"(?<=⊢ ).*$",
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r"(?<=expected\n).*?(?=\n|$)",
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]
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for p in patterns:
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m = re.search(p, output, re.DOTALL)
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if m and m.group().strip():
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return m.group().strip()[:500]
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# Fallback: last significant line
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lines = [l.strip() for l in output.split("\n") if l.strip() and "error" not in l.lower()]
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return lines[-1][:500] if lines else output[:500]
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def extract_hypotheses(output: str) -> list[str]:
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"""Extract hypothesis names from the goal context."""
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hyps = []
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for m in re.finditer(r"(?:^|\n)(\w+)\s*:", output):
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hyps.append(m.group(1))
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return hyps[:20]
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def count_symbols(text: str) -> dict:
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"""Count operator symbols in a goal text."""
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ops = {
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"+": 0, "*": 0, "-": 0, "/": 0, "^": 0,
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"≤": 0, "≥": 0, "<": 0, ">": 0, "=": 0,
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"∧": 0, "∨": 0, "→": 0, "¬": 0, "∀": 0, "∃": 0,
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"∑": 0, "∫": 0, "∪": 0, "∩": 0, "⊆": 0,
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}
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for char in text:
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if char in ops:
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ops[char] += 1
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return {k: v for k, v in ops.items() if v > 0}
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def build_trace(code: str, name: str = "unnamed") -> dict:
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"""Build a ProofTraceReceipt by replaying tactic steps."""
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tactics = split_tactic_lines(code)
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if not tactics or tactics == [code]:
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result = prove_step(code)
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ok = result.get("ok", False)
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return {
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"trace_version": "proof-trace-v1",
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"receipt_hash": sha256(code),
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"theorem_name": name,
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"status": "verified" if ok else "failed",
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"tactic_count": 1,
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"total_elapsed_ms": result.get("elapsed_ms", 0),
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"steps": [{"step": 0, "tactic": code, "result": "success" if ok else "failure"}],
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"goal_transition_matrix": [[1] if ok else [0]],
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"flexure_joints": [],
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"warning": "full_code_fallback"
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}
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# Reconstruct the theorem header (everything before `:= by` or `by`)
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by_pos = code.rfind(":= by")
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if by_pos < 0:
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by_pos = code.rfind("\nby")
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if by_pos < 0:
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by_pos = code.find("by ")
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header = code[:by_pos] + ":= by" if by_pos > 0 else code.split("by")[0]
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steps = []
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prev_stdout = ""
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prev_stderr = ""
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for i, tactic in enumerate(tactics):
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# Build incremental proof
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prefix = header + "\n"
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for j in range(i + 1):
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prefix += " " + tactics[j] + "\n"
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t0 = time.time()
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result = prove_step(prefix)
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dt = time.time() - t0
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stdout = result.get("stdout", "")
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stderr = result.get("stderr", "")
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ok = result.get("ok", False)
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goal_before = extract_goal_text(prev_stdout + "\n" + prev_stderr)
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goal_after = extract_goal_text(stdout + "\n" + stderr)
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hyps_before = extract_hypotheses(prev_stdout + "\n" + prev_stderr)
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hyps_after = extract_hypotheses(stdout + "\n" + stderr)
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delta = {
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"symbol_delta": len(count_symbols(goal_after)) - len(count_symbols(goal_before)),
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"hypothesis_delta": len(hyps_after) - len(hyps_before),
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"goal_count_delta": (len(hyps_after) + 1 if goal_after else 0) - (len(hyps_before) + 1 if goal_before else 0),
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}
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steps.append({
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"step": i,
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"tactic": tactic,
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"before_goal_hash": sha256(goal_before) if goal_before else "",
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"after_goal_hash": sha256(goal_after) if goal_after else "",
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"before_goal_text": goal_before[:300],
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"after_goal_text": goal_after[:300],
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"goal_count_before": len(hyps_before) + 1 if goal_before else 0,
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"goal_count_after": len(hyps_after) + 1 if goal_after else 0,
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"hypothesis_count_before": len(hyps_before),
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"hypothesis_count_after": len(hyps_after),
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"operator_count_before": len(count_symbols(goal_before)),
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"operator_count_after": len(count_symbols(goal_after)),
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"delta": delta,
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"elapsed_ms": result.get("elapsed_ms", int(dt * 1000)),
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"result": "success" if ok else "failure",
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"stdout_preview": stdout[:200],
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"stderr_preview": stderr[:200],
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})
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prev_stdout = stdout
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prev_stderr = stderr
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# Final verification
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final_result = prove_step(code)
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# Build transition matrix
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hashes = []
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for s in steps:
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if s.get("before_goal_hash"):
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hashes.append(s["before_goal_hash"])
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if steps:
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hashes.append(steps[-1].get("after_goal_hash", ""))
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unique = list(dict.fromkeys(hashes))
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h2i = {h: i for i, h in enumerate(unique)}
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n = len(unique)
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matrix = [[0] * n for _ in range(n)]
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for s in steps:
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bh = s.get("before_goal_hash", "")
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ah = s.get("after_goal_hash", "")
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if bh in h2i and ah in h2i:
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matrix[h2i[bh]][h2i[ah]] += 1
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# Extract flexure joints
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joints = []
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for s in steps:
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d = s.get("delta", {})
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score = abs(d.get("goal_count_delta", 0)) * 3 + abs(d.get("hypothesis_delta", 0)) + abs(d.get("symbol_delta", 0)) * 2
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joints.append({
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"step": s["step"],
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"tactic": s["tactic"],
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"tactic_family": classify_tactic(s["tactic"]),
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"delta_score": score,
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"delta": d,
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"result": s.get("result", "unknown"),
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})
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return {
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"trace_version": "proof-trace-v1",
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"receipt_hash": sha256(code),
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"theorem_name": name,
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"status": "verified" if final_result.get("ok") else "failed",
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"tactic_count": len(steps),
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"total_elapsed_ms": sum(s.get("elapsed_ms", 0) for s in steps),
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"steps": steps,
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"goal_transition_matrix": matrix,
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"flexure_joints": joints,
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}
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def build_transition_matrix(steps: list[dict]) -> list[list[int]]:
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"""Build an adjacency matrix from goal-state hash transitions."""
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n = len(steps) + 1 # +1 for the final state
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matrix = [[0] * n for _ in range(n)]
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# Collect unique goal hashes
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hashes = []
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for s in steps:
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if s.get("before_goal_hash"):
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hashes.append(s["before_goal_hash"])
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if steps:
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hashes.append(steps[-1].get("after_goal_hash", ""))
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# Assign indices
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unique = list(dict.fromkeys(hashes))
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hash_to_idx = {h: i for i, h in enumerate(unique)}
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for s in steps:
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bh = s.get("before_goal_hash", "")
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ah = s.get("after_goal_hash", "")
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if bh in hash_to_idx and ah in hash_to_idx:
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i = hash_to_idx[bh]
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j = hash_to_idx[ah]
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matrix[i][j] += 1
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return matrix
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def extract_flexure_joints(steps: list[dict]) -> list[dict]:
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"""Extract flexure joints from tactic transitions.
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A flexure is a transition that significantly changes the goal state.
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"""
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joints = []
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for s in steps:
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d = s.get("delta", {})
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score = (
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abs(d.get("goal_count_delta", 0)) * 3
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+ abs(d.get("hypothesis_delta", 0))
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+ abs(d.get("symbol_delta", 0)) * 2
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)
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joint = {
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"step": s["step"],
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"tactic": s["tactic"],
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"tactic_family": classify_tactic(s["tactic"]),
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"delta_score": score,
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"delta": d,
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"result": s.get("result", "unknown"),
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}
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joints.append(joint)
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return joints
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def classify_tactic(tactic: str) -> str:
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"""Classify a tactic into a family."""
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tactic_lower = tactic.lower()
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if "simp" in tactic_lower:
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return "normalization"
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if "omega" in tactic_lower:
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return "arithmetic"
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if "ring" in tactic_lower or "nlinarith" in tactic_lower:
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return "algebraic"
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if "induction" in tactic_lower:
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return "induction"
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if "cases" in tactic_lower:
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return "case_analysis"
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if "rw" in tactic_lower or "rewrite" in tactic_lower:
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return "rewrite"
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if "apply" in tactic_lower or "exact" in tactic_lower:
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return "discharge"
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if "intro" in tactic_lower or "refine" in tactic_lower:
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return "introduction"
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if "calc" in tactic_lower:
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return "calculation"
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if "rfl" in tactic_lower:
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return "reflexivity"
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if "constructor" in tactic_lower:
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return "constructor"
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if "have" in tactic_lower or "let" in tactic_lower:
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return "lemma_introduction"
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return "unknown"
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def main():
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if len(sys.argv) < 2:
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print("Usage:", file=sys.stderr)
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print(" python3 lean_trace_bridge.py --code 'theorem t ... := by ...' --name t", file=sys.stderr)
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print(" python3 lean_trace_bridge.py shared-data/pist_canary_receipts.jsonl [index]", file=sys.stderr)
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return 1
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out_path = None
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code = None
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name = "unnamed"
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# Parse arguments
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args = sys.argv[1:]
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for i, arg in enumerate(args):
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if arg == "--code" and i + 1 < len(args):
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code = args[i + 1]
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elif arg == "--name" and i + 1 < len(args):
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name = args[i + 1]
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elif arg == "--out" and i + 1 < len(args):
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out_path = args[i + 1]
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# If no --code, check for receipts file
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if code is None:
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for arg in args:
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if arg.endswith(".jsonl") and not arg.startswith("--"):
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idx = 0
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for j, a2 in enumerate(args):
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if a2 == arg and j + 1 < len(args) and args[j + 1].isdigit():
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idx = int(args[j + 1])
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with open(arg) as f:
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for line_idx, line in enumerate(f):
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if line_idx == idx:
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receipt = json.loads(line)
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code = receipt.get("theorem_statement", "")
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name = receipt.get("theorem_name", f"receipt_{idx}")
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break
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break
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if code is None:
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print("ERROR: No code provided", file=sys.stderr)
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return 1
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print(f"Building trace for: {name}", flush=True)
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print(f"Code length: {len(code)} chars", flush=True)
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trace = build_trace(code, name)
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steps = trace.get("steps", [])
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print(f"\nTrace complete:")
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print(f" Steps: {len(steps)}")
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print(f" Status: {trace.get('status')}")
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print(f" Total time: {trace.get('total_elapsed_ms')}ms")
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families = {}
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for s in steps:
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j = s.get("flexure_joints", []) if isinstance(s, dict) else []
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for j in trace.get("flexure_joints", []):
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fam = j.get("tactic_family", "?")
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families[fam] = families.get(fam, 0) + 1
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print(f"\nTactic families:")
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for fam, count in sorted(families.items(), key=lambda x: -x[1]):
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print(f" {fam:20s}: {count:3d}")
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print(f"\nTransition matrix: {len(trace.get('goal_transition_matrix', []))}x"
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f"{len(trace.get('goal_transition_matrix', [[]]))}")
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# Save
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if out_path:
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with open(out_path, "w") as f:
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json.dump(trace, f, indent=2)
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print(f"\nTrace saved: {out_path}", flush=True)
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else:
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# Print summary
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print(f"\nStep details:")
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for s in steps[:5]:
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jd = s.get("delta", {})
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print(f" [{s['step']}] {s['tactic']:30s} → {s['result']:8s} "
|
||
f"|{s.get('goal_count_before',0)}→{s.get('goal_count_after',0)}| "
|
||
f"d(g)={jd.get('goal_count_delta',0):+d} "
|
||
f"d(h)={jd.get('hypothesis_delta',0):+d}")
|
||
if len(steps) > 5:
|
||
print(f" ... ({len(steps) - 5} more steps)")
|
||
|
||
return 0
|
||
|
||
|
||
if __name__ == "__main__":
|
||
main()
|