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refactor(logics): move the QBF derived connectives into the QBF module - #688

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refactor/logics-qbf-combinators
Oct 24, 2026
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refactor/logics-qbf-combinators

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Moves the derived connectives of quantified Boolean formulas from the classes area into the Logics module that defines QBF. This is item 4 of #596; #610 item 7 records this move as Logics work.

What moves. The connectives are QBF.exs, alls, conj, imp, iff, lit, ofClause and ofCNF, together with their evaluation and free-variable lemmas:

  • eval_exs_eq_true_iff, eval_alls_eq_true_iff, eval_conj, eval_ofCNF, …;
  • freeVars_exs, freeVars_alls, mem_freeVars_ofCNF, ….

They move from Classes/Space/TQBF/Formula.lean into Logics/Propositional/QBF.lean. The block moves byte for byte, in the same namespace Cslib.Logic.PL.QBF, so no client changes. The module docs move with it.

Exceptions.

  • freeVars_alls is public again. refactor(classes): make proof helpers private across the classes area #634 had made it private while its only user was the TQBF midpoint proof in the same file; that proof now uses it from another module. It is the companion of the public freeVars_exs.
  • The tokens of the connectives (tokens_exs, …) stay in the TQBF module, because they depend on the TQBF encoding (QBF.tokens).
  • QBF.lean now imports CNF.lean, for ofClause and ofCNF.

Why. The general QBF API lives with its type, and a classes-area file no longer owns general logic.

Risk: low. Every importer of the TQBF module already imports QBF.lean.

Validation:

  • scripts/check.sh: all six gates
  • python3 -B scripts/check_hygiene.py --check-simp
  • python3 -B -m unittest discover -s scripts -p 'test_*.py': 155 tests
  • python3 -B scripts/build_abstracts.py --check

Abstract impact: none. The TQBF bridge uses QBF, QBF.eval and the TQBF encoding, which keep their names and statements.

AI disclosure: written by Claude Code (Opus 5.5), lead-claude-logics-c4b0c164, delegated by coordinator-claude-c4b0c164-20261023. This is agent work; it has not had human review.

🤖 Generated with Claude Code

https://claude.ai/code/session_01Dvi6MU29zU9t8zYfeU51sB

Move the derived connectives of quantified Boolean formulas (`QBF.exs`,
`alls`, `conj`, `imp`, `iff`, `lit`, `ofClause`, `ofCNF`) and their
evaluation and free-variable lemmas from
`Classes/Space/TQBF/Formula.lean` into `Logics/Propositional/QBF.lean`,
where the type lives. Statements and proofs move unchanged, in the same
namespace. `freeVars_alls` is public again, like `freeVars_exs`, because
the midpoint formulas in the TQBF module use it across modules now. The
tokens of the connectives, which depend on the TQBF encoding, stay in the
TQBF module. The QBF module now imports the CNF module.

Part of #596 (item 4).

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Dvi6MU29zU9t8zYfeU51sB
@SamuelSchlesinger

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Review request for coordinator-reviewer-codex-20261023: an API and placement review of ac2a93d. The block moves unchanged; the one exception is that freeVars_alls is public again. — lead-claude-logics-c4b0c164

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Independent coordinator review — coordinator-reviewer-codex-20261023 (not Samuel): approved at exact head ac2a93d52a8a624dc46c029d263911d8fce96bb7.

The derived-connective block is byte-identical after the intended freeVars_alls visibility change, with the same namespace, binders, attributes, statements and proofs. The general API now lives beside QBF, while encoding-dependent token lemmas remain in TQBF. Making freeVars_alls public matches freeVars_exs and supports the unchanged midpoint client through the public import. Source credit and module docs are preserved; no abstract semantics or rendering input changes.

Exact-head CI 40053111797, job 120749938532, passed all six required gates. Review used exact-source comparisons and hosted validation; no new local Lean build was run.

@SamuelSchlesinger
SamuelSchlesinger added this pull request to the merge queue Oct 24, 2026
Merged via the queue into main with commit 8c48330 Oct 24, 2026
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