Files
lean-bench/textbook/build_definitions.py
T
claude-bot 04d827b3b3 Split pipeline into real bench (exercises) vs library candidates (body)
Restructures the textbook pipeline around the distinction the body-derived
dataset had been blurring: a bench should be actual unsolved problems, and
a reusable premise library should only ever contain statements that have
really been proven, the way Mathlib itself works.

- library_candidates/goodman-1.6.jsonl (renamed from datasets/goodman-1.6.jsonl):
  the book's own Theorem/Proposition/Lemma/Corollary claims from the main
  text. Not bench targets -- premises waiting to be proven once via a real
  lean-bench run, then assembled into the reusable library by
  build_library.py (which already only keeps success:true entries with
  their checked proof, unchanged by this commit).
- datasets/goodman-1.6-exercises.jsonl (new): the actual bench, sourced
  from the book's Exercises 1.6 block via two new scripts,
  textbook/extract_exercises.py (slices the Exercises block, lists its
  numbered items, drops a known false-positive class where a wrapped
  cross-reference like "...Proposition\n1.6.19." looks like a real
  exercise heading) and textbook/formalize_exercises.py (LLM step, given
  both the exercises and body text together since many exercises say
  "Prove Proposition N.N.N" instead of restating the claim).
- Both formalize.py and formalize_exercises.py's validate() now enforce
  that every checklist item is covered by at least one output entry
  (included or explicitly excluded with a reason); formalize_exercises.py
  did not have this yet and a first real run silently dropped 7 of 15
  checklist items with no trace before this was added.
- All 12 model-produced exercise entries needed real fixes before commit,
  the same review pass applied to the body pilot: 3 exercises literally
  ask to prove an already-stated body claim (Exercise 1.6.1 -> Proposition
  1.6.7, 1.6.2 -> Proposition 1.6.9, 1.6.7 -> Proposition 1.6.18, 1.6.9 ->
  Corollary 1.6.20, 1.6.15 -> Lemma 1.6.26) and now reuse that claim's own
  already-checked statement verbatim instead of an independently
  re-derived (and in one case strictly weaker) restatement; two entries
  (1.6.2, 1.6.11) had literal math prose like "I(m, n)" or
  "gcd(n1,...,nk)" leaked into the statement field, which is not valid
  Lean; several had untyped/ambiguous gcd or Prime usage fixed the same
  way the earlier body fixes were (Nat.Prime, IsCoprime, explicit casts,
  IsGreatest instead of max on a Set); and Exercise 1.6.12 part (a) turned
  out to be a discussion question whose unconditional-identity reading is
  actually false (6, 10, 15 are jointly coprime but not pairwise coprime),
  so it was moved to the excluded file with a reason instead of committed
  as a false theorem.
- Definitions can now be real, compiled Lean, not only JSON metadata:
  Definition 1.6.22 (gcd of a list of integers, previously a null
  placeholder since no single Mathlib constant matches it) now has a real
  hand-written `def IsGCDOfList`, and textbook/build_definitions.py
  compiles any manifest's non-null lean_code entries into
  lib/Definitions.lean. goodman-1-6-24 (library) and the new
  goodman-1-6-ex-11-b/c, goodman-1-6-ex-12 (bench) all now use
  IsGCDOfList instead of repeating an inline existential.
- textbook/README.md rewritten around the two-track design and records
  how this is meant to connect to lean-agent's eventual goal-directed
  proof search against the growing library (not yet built).
- New tests for extract_exercises.py and build_definitions.py; full
  local suite still green (18/19, the one failure is the pre-existing,
  unrelated lean_agent import error in test_dataset.py).

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_017vbLFFJiHSZqGZHEkjvG5x
2026-09-18 19:27:40 +00:00

56 lines
2.2 KiB
Python

"""Assemble a standalone, importable Lean 4 file from a definitions manifest's
hand-written lean_code entries.
Only definitions with no Mathlib equivalent need one -- when a manifest entry's
mathlib_ref is set, the theorems that use it just reference that Mathlib name
directly, and there is nothing to assemble here. This exists because a definitions
manifest is only JSON metadata by itself: Lean can't verify a proof that mentions a
concept unless that concept is actual Lean code somewhere it can see, which is the
point raised about definitions needing to be real, not just documented.
Does not call Lean itself -- check_statements.py / lean-agent still has to actually
verify that the resulting file, and anything that imports it, type-checks.
"""
import argparse
import json
from pathlib import Path
def build(definitions_paths):
entries = []
for path in definitions_paths:
entries.extend(json.loads(path.read_text(encoding='utf-8')))
lines = ['-- Generated by textbook/build_definitions.py -- hand-written Lean',
'-- definitions for concepts with no Mathlib equivalent. Regenerate',
'-- from the definitions manifest(s) instead of hand-editing.',
'', 'import Mathlib', '']
emitted = 0
for entry in entries:
code = entry.get('lean_code')
if not code:
continue
lines.append(f"-- {entry['label']}: {entry['concept']}")
if entry.get('notes'):
for note_line in entry['notes'].splitlines():
lines.append(f"-- {note_line}")
lines.append(code.rstrip())
lines.append('')
emitted += 1
return '\n'.join(lines), emitted
def main():
parser = argparse.ArgumentParser(description='Assemble hand-written definitions into one importable Lean file')
parser.add_argument('definitions', type=Path, nargs='+', help='one or more *.definitions.json manifests')
parser.add_argument('--out', type=Path, required=True)
args = parser.parse_args()
text, emitted = build(args.definitions)
args.out.write_text(text + '\n', encoding='utf-8')
print(f'{emitted} hand-written definitions -> {args.out}')
if __name__ == '__main__':
main()