Pilot prep: simplex schema, projection, alignment, lint, stats, pilot scripts, protocol v1

Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01FYqwNMyPUHeTbFWg83GQq6
2026-10-22 05:52:28 +00:00
parent 3e0782c62a
commit ca98703538
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+"""Cheap static checks for formalizations that compile and are probably wrong.
+
+These are a baseline for the fidelity filter, not a replacement for one: each looks
+at the projected roles and the text of the declaration only, with no model and no
+Lean. They catch encoding hazards (natural-number subtraction, integer division),
+binders the statement never uses, and goals that say nothing.
+"""
+from __future__ import annotations
+
+import re
+
+from .project import Projection
+from .schema import KIND_FACT, KIND_GOAL, KIND_OBJECT
+
+_NAT = re.compile(r"\b(ℕ|Nat)\b")
+_OTHER_NUMBERS = re.compile(r"[ℤℚℝℂ]|\b(Int|Rat|Real|Complex)\b")
+_SUBTRACTION = re.compile(r"[\w)\]]\s*-\s*[\w(]")
+_DIVISION = re.compile(r"[\w)\]]\s*/\s*[\w(]")
+_IDENT = re.compile(r"[A-Za-z_][A-Za-z0-9_']*")
+
+
+def lint(projection: Projection) -> list[str]:
+    findings: list[str] = []
+    if projection.degenerate:
+        findings.append("degenerate")
+    texts = [r.type_text for r in projection.roles if r.kind in (KIND_FACT, KIND_GOAL)]
+    body = " ".join(texts)
+    declared = " ".join(r.type_text for r in projection.roles if r.kind == KIND_OBJECT)
+
+    for role in projection.roles:
+        if role.kind != KIND_OBJECT or role.attrs.get("binder_kind") != "explicit":
+            continue
+        if role.type_text.strip().startswith(("Type", "Sort")):
+            continue  # a carrier: used by the instances that constrain it
+        used = set(_IDENT.findall(body)) | set(_IDENT.findall(declared.replace(role.type_text, "")))
+        if role.name != "_" and role.name not in used:
+            findings.append(f"unused_binder:{role.name}")
+
+    nat_only = _NAT.search(declared + " " + body) and not _OTHER_NUMBERS.search(declared + body)
+    if nat_only and _SUBTRACTION.search(body):
+        findings.append("nat_subtraction")
+    if (_NAT.search(declared) or re.search(r"\b(ℤ|Int)\b", declared)) and _DIVISION.search(body):
+        findings.append("integer_division")
+
+    goal = next((r for r in projection.roles if r.kind == KIND_GOAL), None)
+    if goal is not None and goal.type_text.strip() in ("", "True", "False", "1 = 1", "0 = 0"):
+        findings.append("trivial_goal")
+    return findings