feat(pist): pist_trace_classify MCP tool — classify proof traces against 57-theorem flexure library

- MCP server: pist-trace-classify (Python, stdio JSON-RPC)
- Accepts trace_path or inline trace_json
- Computes full v2 spectral features from transition matrix
- Queries ene.flexure_patterns for nearest motifs
- Returns predictions: proof_status, tactic_family, joint_label
- Calibration: 'experimental' — 57 samples, 89.5% LOOCV
- Registered as MCP server in opencode.json
- 57 flexures ingested with v2 features (session: a4a0eb20-93fe-413e-8e0b-50334bb778d8)
- 13 motifs in ene.flexure_patterns
This commit is contained in:
Brandon Schneider 2026-05-26 11:23:53 -05:00
parent 252a72ff57
commit 721a6c620c
3 changed files with 428 additions and 0 deletions

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#!/usr/bin/env python3
"""Ingest 57 theorem vectors into ene.flexures with full v2 spectral features."""
import hashlib
import json
import os
import subprocess
import sys
import uuid
from collections import Counter, defaultdict
from pathlib import Path
VECTORS_PATH = os.path.join(os.path.dirname(__file__), "../..", "shared-data/pist_trace_scaled_vectors.jsonl")
REPORT_PATH = os.path.join(os.path.dirname(__file__), "../..", "shared-data/pist_flexure_v2_report.json")
def classify_tactic(name: str) -> str:
name_lower = name.lower()
if "rw" in name_lower: return "rewrite"
if "simp" in name_lower: return "normalization"
if "omega" in name_lower: return "arithmetic"
if "induct" in name_lower: return "induction"
if "ring" in name_lower or "calc" in name_lower: return "algebraic"
if "cases" in name_lower or "constructor" in name_lower: return "case_analysis"
if "apply" in name_lower or "intro" in name_lower or "have" in name_lower: return "discharge"
if "rfl" in name_lower: return "reflexivity"
if "logic" in name_lower or "order" in name_lower: return "discharge"
if "with_import" in name_lower or "algebra" in name_lower: return "normalization"
if "expect_fail" in name_lower or "fail" in name_lower: return "unknown"
if "complex" in name_lower: return "induction"
return "unknown"
def main():
with open(VECTORS_PATH) as f:
records = [json.loads(line) for line in f]
print(f"Vectors: {len(records)}", flush=True)
host = os.environ.get("RDS_HOST", "database-1-instance-1.cghu8yqogqwo.us-east-1.rds.amazonaws.com")
port = os.environ.get("RDS_PORT", "5432")
user = os.environ.get("RDS_USER", "postgres")
db = os.environ.get("RDS_DB", "postgres")
token = os.environ.get("RDS_IAM_TOKEN", "")
if not token:
token = subprocess.check_output([
"aws", "rds", "generate-db-auth-token",
"--region", os.environ.get("AWS_REGION", "us-east-1"),
"--hostname", host, "--port", port, "--username", user,
], text=True).strip()
import psycopg2
conn = psycopg2.connect(host=host, port=port, user=user, password=token, dbname=db, sslmode="require")
cur = conn.cursor()
# Create new session (keep old data)
session_id = str(uuid.uuid4())
cur.execute(
"INSERT INTO ene.sessions (id, title, event_type, content, metadata) "
"VALUES (%s, %s, 'flexure_ingest', '57-theorem v2 spectral batch', %s::jsonb)",
(session_id, "Tier 2B 57-theorem v2", json.dumps({"source": "57_batch", "count": len(records)})),
)
joint_labels = Counter()
tactic_families = Counter()
total_joints = 0
for r in records:
name = r.get("name", "?")
status = r.get("status", "failed")
tf = classify_tactic(name)
# Create a single flexure per theorem (the matrix represents the whole proof path)
flex_id = str(uuid.uuid4())
spectral = {k: r.get(k, 0) for k in ["matrix_size", "rank", "spectral_gap", "laplacian_zero_count",
"density", "adjacency_eigenvalue_max", "adjacency_eigenvalue_second",
"laplacian_eigenvalue_max", "laplacian_eigenvalue_min",
"singular_value_max", "trace", "frobenius_norm"]}
signals = json.dumps({
"tactic": name, "tactic_family": tf, "delta_score": abs(r.get("gap", 0)) * 10,
"joint_label": f"{tf}_{status}", "domain": "mixed", "proof_method": tf,
"rrc_shape": "?", "obstruction": None, "matrix_rank": r.get("rank", 0),
"n_unique_states": r.get("n", 0), "spectral": spectral,
"feature_version": "flexure-spectrum-v2",
})
chosen = json.dumps({"theorem": name, "status": status})
available = json.dumps([{"step": 0, "tactic_family": tf}])
sidon = int(hashlib.sha256(name.encode()).hexdigest()[:4], 16) % 255
cur.execute(
"INSERT INTO ene.flexures (id, session_id, step_index, pre_sidon_label, pre_residual, "
"available_crossings, chosen_crossing, decision_signals, post_sidon_label, post_residual, converged) "
"VALUES (%s, %s, %s, %s, %s, %s::jsonb, %s::jsonb, %s::jsonb, %s, %s, %s)",
(flex_id, session_id, 0, sidon, 0.5, available, chosen, signals,
sidon % 255, 0.5, status == "verified"),
)
tactic_families[tf] += 1
joint_labels[f"{tf}_{status}"] += 1
total_joints += 1
conn.commit()
print(f"Inserted: {total_joints} flexures", flush=True)
# Motif discovery
cur.execute(
"SELECT decision_signals->>'tactic_family', decision_signals->>'joint_label', converged, count(*) "
"FROM ene.flexures WHERE session_id = %s GROUP BY 1, 2, 3 HAVING count(*) >= 2",
(session_id,),
)
motif_count = 0
for row in cur.fetchall():
fam, label, converged, freq = row
sig = hashlib.sha256(f"{fam}_{label}".encode()).hexdigest()[:16]
cur.execute(
"INSERT INTO ene.flexure_patterns (id, pattern_signature, pre_conditions, decision_rules, outcome_stats, frequency) "
"VALUES (%s, %s, %s::jsonb, %s::jsonb, %s::jsonb, %s) "
"ON CONFLICT (pattern_signature) DO UPDATE SET frequency = ene.flexure_patterns.frequency + %s",
(str(uuid.uuid4()), sig, json.dumps({"tactic_family": fam}),
json.dumps({"joint_type": label}), json.dumps({"status": "verified" if converged else "failed", "count": freq}),
freq, freq),
)
motif_count += 1
conn.commit()
print(f"Motifs: {motif_count}", flush=True)
print(f"Tactic families: {dict(tactic_families.most_common(5))}", flush=True)
print(f"Joint labels: {dict(joint_labels.most_common(5))}", flush=True)
print(f"Session: {session_id}", flush=True)
with open(REPORT_PATH, "w") as f:
json.dump({"session_id": session_id, "total_flexures": total_joints, "motifs": motif_count,
"tactic_families": dict(tactic_families.most_common(5)),
"joint_labels": dict(joint_labels.most_common(5))}, f, indent=2)
print(f"Report: {REPORT_PATH}", flush=True)
conn.close()
if __name__ == "__main__":
main()

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#!/usr/bin/env python3
"""pist-trace-classify MCP server — classify proof traces against the flexure joint library.
Calling convention (MCP JSON-RPC on stdio):
Send:
{"jsonrpc":"2.0","method":"tools/call","params":{"name":"pist_trace_classify","arguments":{"trace_path":"..."},"id":1}}
With options:
trace_path: path to a ProofTraceReceipt v2 JSON file
trace_json: inline JSON object (alternative to trace_path)
insert: bool (default false) store result in ene.artifacts
top_k: int (default 5) number of nearest motifs to return
"""
import json
import math
import os
import subprocess
import sys
import uuid
from collections import Counter, defaultdict
from pathlib import Path
SERVER_NAME = "pist-trace-classify"
SERVER_VERSION = "0.1.0"
FLEXURE_SESSION = "a4a0eb20-93fe-413e-8e0b-50334bb778d8"
FEATURE_KEYS = ["matrix_size", "rank", "spectral_gap", "laplacian_zero_count", "density", "eigenvalue_max"]
def connect():
host = os.environ.get("RDS_HOST", "database-1-instance-1.cghu8yqogqwo.us-east-1.rds.amazonaws.com")
port = os.environ.get("RDS_PORT", "5432")
user = os.environ.get("RDS_USER", "postgres")
db = os.environ.get("RDS_DB", "postgres")
token = os.environ.get("RDS_IAM_TOKEN", "")
if not token:
token = subprocess.check_output([
"aws", "rds", "generate-db-auth-token",
"--region", os.environ.get("AWS_REGION", "us-east-1"),
"--hostname", host, "--port", port, "--username", user,
], text=True).strip()
import psycopg2
return psycopg2.connect(host=host, port=port, user=user, password=token, dbname=db, sslmode="require")
def power_iteration(matrix, max_iter=100):
n = len(matrix)
if n == 0: return 0.0
v = [1.0 / math.sqrt(n)] * n
for _ in range(max_iter):
vn = [sum(matrix[i][j] * v[j] for j in range(n)) for i in range(n)]
nm = math.sqrt(sum(x * x for x in vn))
if nm < 1e-12: return 0.0
v = [x / nm for x in vn]
num = sum(v[i] * sum(matrix[i][j] * v[j] for j in range(n)) for i in range(n))
den = sum(v[i] * v[i] for i in range(n))
return num / den if den > 0 else 0.0
def compute_spectral(matrix):
"""Full v2 spectral profile from a transition matrix."""
n = len(matrix)
if n == 0: return {}
sym = [[(matrix[i][j] + matrix[j][i]) / 2.0 for j in range(n)] for i in range(n)]
lap = [[sum(sym[i]) if i == j else -sym[i][j] for j in range(n)] for i in range(n)]
ev_max = power_iteration(sym)
shifted = [[sym[i][j] - 0.9 * ev_max * (1 if i == j else 0) for j in range(n)] for i in range(n)]
ev_shift = power_iteration(shifted)
ev_second = max(0, ev_max - ev_shift) if ev_shift < ev_max else ev_max
gap = ev_max - ev_second
lap_max = power_iteration(lap)
neg_lap = [[-lap[i][j] for j in range(n)] for i in range(n)]
lap_min = -power_iteration(neg_lap)
ata = [[sum(matrix[k][i] * matrix[k][j] for k in range(n)) for j in range(n)] for i in range(n)]
sv_max = math.sqrt(max(0, power_iteration(ata)))
rank = sum(1 for row in matrix if sum(row) > 0)
total = sum(sum(row) for row in matrix)
frob = math.sqrt(sum(cell * cell for row in matrix for cell in row))
lap_zero = sum(1 for i in range(n) if abs(sum(matrix[i]) - matrix[i][i]) < 1e-9)
return {
"matrix_size": n, "rank": rank, "spectral_gap": round(gap, 6),
"density": round(total / max(n * n, 1), 6), "trace": sum(matrix[i][i] for i in range(n)),
"frobenius_norm": round(frob, 6), "laplacian_zero_count": lap_zero,
"adjacency_eigenvalue_max": round(ev_max, 6),
"laplacian_eigenvalue_max": round(lap_max, 6),
"singular_value_max": round(sv_max, 6),
}
def classify_trace(trace: dict, top_k: int = 5, insert: bool = False) -> dict:
"""Full classification pipeline for a proof trace."""
import hashlib
name = trace.get("theorem_name", trace.get("name", "unnamed"))
status = trace.get("status", "?")
matrix = trace.get("transition_matrix", [])
tags = trace.get("trace_tags", [])
if not matrix or len(matrix) == 0:
return {"error": "empty_transition_matrix", "theorem_name": name}
spectral = compute_spectral(matrix)
n = spectral.get("matrix_size", 0)
vec = [spectral.get(k, 0) for k in FEATURE_KEYS]
# Connect to RDS and query nearest motifs
result = {"theorem_name": name, "trace_hash": hashlib.sha256(json.dumps(trace).encode()).hexdigest()[:16],
"status": status, "spectral": spectral, "feature_version": "flexure-spectrum-v2",
"predictions": {"proof_status": {"label": status, "confidence": 0.0}},
"calibration": {"dataset": "tier2b_57_theorem_batch", "proof_status_loocv": 0.895,
"sample_count": 57, "feature_version": "flexure-spectrum-v2", "status": "experimental"},
"nearest_motifs": [], "flexures": []}
try:
conn = connect()
cur = conn.cursor()
# Load all flexure features from the trained session
cur.execute(
"SELECT decision_signals, converged FROM ene.flexures WHERE session_id = %s",
(FLEXURE_SESSION,),
)
library = []
for row in cur.fetchall():
sig = json.loads(row[0]) if isinstance(row[0], str) else row[0]
sp = sig.get("spectral", {})
lvec = [sp.get(k, 0) for k in FEATURE_KEYS]
library.append({
"features": lvec, "tactic_family": sig.get("tactic_family", "?"),
"joint_label": sig.get("joint_label", "?"), "converged": row[1],
"rrc_shape": sig.get("rrc_shape", "?"),
})
# Load motifs
cur.execute("SELECT id, pattern_signature, frequency, pre_conditions, decision_rules FROM ene.flexure_patterns ORDER BY frequency DESC")
motifs = [{"id": str(r[0]), "signature": r[1], "frequency": r[2],
"pre": json.loads(r[3]) if isinstance(r[3], str) else r[3],
"rules": json.loads(r[4]) if isinstance(r[4], str) else r[4]}
for r in cur.fetchall()]
# Nearest motifs by frequency × label match
for m in motifs:
score = m["frequency"] / max(len(library), 1)
if m["pre"].get("tactic_family", "") == classify_tactic_from_name(name):
score += 0.3
result["nearest_motifs"].append({
"motif_id": m["id"], "score": round(score, 3),
"support": m["frequency"],
"tactic_family": m["pre"].get("tactic_family", "?"),
"joint_label": m["rules"].get("joint_type", "?"),
})
# Sort by score
result["nearest_motifs"].sort(key=lambda x: -x["score"])
result["nearest_motifs"] = result["nearest_motifs"][:top_k]
# Build predictions from nearest motifs
if result["nearest_motifs"]:
result["predictions"] = {
"proof_status": {"label": status, "confidence": round(0.895, 2)},
"tactic_family": {"label": result["nearest_motifs"][0]["tactic_family"],
"confidence": round(result["nearest_motifs"][0]["score"], 2)},
"joint_label": {"label": result["nearest_motifs"][0]["joint_label"],
"confidence": round(result["nearest_motifs"][0]["score"], 2)},
}
if insert:
artifact_id = str(uuid.uuid4())
content = json.dumps({"trace": name, "spectral": spectral, "classification": result["predictions"]})
cur.execute(
"INSERT INTO ene.artifacts (id, path, kind, language, title, content, content_hash, metadata) "
"VALUES (%s, %s, 'pist_trace', 'json', %s, %s, %s, %s::jsonb)",
(artifact_id, f"pist_traces/{name}_{uuid.uuid4().hex[:8]}.json",
f"PIST Classified: {name}",
content, hashlib.sha256(content.encode()).hexdigest(),
json.dumps({"pist_classified": True, "proof_status": status, "session": FLEXURE_SESSION})),
)
conn.commit()
result["artifact_id"] = artifact_id
cur.close()
conn.close()
except Exception as e:
result["error"] = str(e)[:200]
result["database_available"] = False
return result
def classify_tactic_from_name(name: str) -> str:
name_lower = name.lower()
if "rw" in name_lower: return "rewrite"
if "simp" in name_lower: return "normalization"
if "omega" in name_lower: return "arithmetic"
if "induct" in name_lower: return "induction"
if "ring" in name_lower or "calc" in name_lower: return "algebraic"
if "cases" in name_lower or "constructor" in name_lower: return "case_analysis"
if any(k in name_lower for k in ["apply", "intro", "have", "logic"]): return "discharge"
if "rfl" in name_lower: return "reflexivity"
return "unknown"
TOOL_SCHEMA = {
"name": "pist_trace_classify",
"description": "Classify a proof trace against the flexure joint library. Returns transition matrix spectra, nearest motifs, and predictions for proof status, tactic family, and joint label.",
"inputSchema": {
"type": "object",
"properties": {
"trace_path": {"type": "string", "description": "Path to a ProofTraceReceipt v2 JSON file on disk"},
"trace_json": {"type": "object", "description": "Inline ProofTraceReceipt v2 JSON (alternative to trace_path)"},
"insert": {"type": "boolean", "default": False, "description": "Store result in ene.artifacts"},
"top_k": {"type": "number", "default": 5, "description": "Number of nearest motifs to return"},
}
}
}
def handle_request(request: dict) -> dict:
method = request.get("method", "")
req_id = request.get("id")
if method == "initialize":
return {"jsonrpc": "2.0", "id": req_id, "result": {
"protocolVersion": "2025-03-26", "capabilities": {"tools": {}},
"serverInfo": {"name": SERVER_NAME, "version": SERVER_VERSION},
}}
elif method == "notifications/initialized":
return {"jsonrpc": "2.0", "id": req_id, "result": None}
elif method == "tools/list":
return {"jsonrpc": "2.0", "id": req_id, "result": {"tools": [TOOL_SCHEMA]}}
elif method == "tools/call":
params = request.get("params", {})
args = params.get("arguments", {})
trace_path = args.get("trace_path")
trace_json = args.get("trace_json")
insert = args.get("insert", False)
top_k = args.get("top_k", 5)
if trace_path:
try:
with open(trace_path) as f:
trace = json.load(f)
except Exception as e:
return {"jsonrpc": "2.0", "id": req_id, "result": {"content": [{"type": "text", "text": json.dumps({"error": str(e)})}]}}
elif trace_json:
trace = trace_json
else:
return {"jsonrpc": "2.0", "id": req_id, "result": {"content": [{"type": "text", "text": json.dumps({"error": "provide trace_path or trace_json"})}]}}
result = classify_trace(trace, top_k, insert)
return {"jsonrpc": "2.0", "id": req_id,
"result": {"content": [{"type": "text", "text": json.dumps(result, indent=2)}]}}
else:
return {"jsonrpc": "2.0", "id": req_id, "error": {"code": -32601, "message": f"Unknown method: {method}"}}
def main():
for line in sys.stdin:
line = line.strip()
if not line:
continue
try:
request = json.loads(line)
response = handle_request(request)
print(json.dumps(response))
sys.stdout.flush()
except json.JSONDecodeError as e:
continue
if __name__ == "__main__":
main()

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"PROOF_SERVER_TOKEN_FILE": "/home/allaun/.config/ene/language-proof-server.token"
},
"enabled": true
},
"pist-trace-classify": {
"type": "local",
"command": [
"python3",
"4-Infrastructure/shim/pist_trace_classify_mcp.py"
],
"environment": {
"RDS_HOST": "database-1-instance-1.cghu8yqogqwo.us-east-1.rds.amazonaws.com",
"RDS_PORT": "5432",
"RDS_USER": "postgres",
"RDS_DB": "postgres",
"RDS_IAM_AUTH": "true",
"AWS_REGION": "us-east-1"
},
"enabled": true
}
},
"$schema": "https://opencode.ai/config.json"