refactor(Modal): bot/imp/box primitives for modal propositions#637
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benbrastmckie wants to merge 695 commits into
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refactor(Modal): bot/imp/box primitives for modal propositions#637benbrastmckie wants to merge 695 commits into
benbrastmckie wants to merge 695 commits into
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Session: sess_1781115176_f29440
Session: sess_1749568800_orchestrate83
Analyzed public import Cslib.Init in Connectives.lean, InferenceSystem.lean, and FrameConditions.lean. All 3 can be downgraded to plain import with 5 compensating imports in downstream Foundations/Logic files. Identified why task 70's previous attempt failed (missing compensating imports). Session: sess_1781118126_4901e1 Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Session: sess_1781118126_4901e1
Session: sess_1781118126_4901e1
Research missed 7 files that use @[expose] from Cslib.Init transitively. Build passes with all 12 compensating imports plus 3 downgrades. Session: sess_1781118126_4901e1
lake shake shows no Cslib.Init warnings for any modified files. All 4 phases complete. Session: sess_1781118126_4901e1
Downgraded public import Cslib.Init in 3 Foundations/Logic files, added 12 compensating imports. Build and lake shake verified clean. Session: sess_1781118126_4901e1
…nd MCS consistency foundations Adds the Cslib/Foundations/Logic/ module hierarchy: 16 files, 3,704 lines total. Provides Hilbert-style proof system infrastructure for downstream modal, temporal, and bimodal metalogic modules. - Core definitions: InferenceSystem typeclass, HasBot/HasImp connective classes, polymorphic axiom abbrevs, bundled proof system typeclasses, LogicalEquivalence - Theorem libraries: SKI/BCC combinators, propositional core (LEM, DNE, RAA), derived connective theorems, big conjunction, K-level and S5-level modal theorems, temporal derived theorems, frame conditions - Metalogic foundations: DerivationSystem with Lindenbaum's lemma via Zorn's lemma, MCS construction; HasHilbertTree with generic deduction theorem helpers Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
… branch Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Add 6 new files (ProofSystem/{Axioms,Derivation,Instances}, Metalogic/{DeductionTheorem,MCS},
NaturalDeduction/FromHilbert), update 2 modified files (Defs, NaturalDeduction/Basic),
add transitive dependency (Foundations/Data/ListHelpers), and update Cslib.lean imports.
Session: sess_1781124422_5169f2
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Session: sess_1781124422_5169f2 Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
- FromHilbert.lean: change 6 `def` to `theorem` for Prop-valued results, remove redundant `noncomputable` modifiers - Instances.lean: wrap instances in `Cslib.Logic.PL` namespace to fix topNamespace lint errors - Defs.lean: replace Set.Image import with Set.Basic per lake shake Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Session: sess_1781124422_5169f2 Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Reflects addition of 8 Propositional files + ListHelpers (task 85), growing PR from 16 files/3,704 lines to 25 files/5,120 lines. Adds new sections: Propositional Proof System Architecture, expanded file inventory and dependency graph. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Replace Mathlib.Order.SuccPred.LinearLocallyFinite with Mathlib.Data.Finset.Attr for import minimization. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Explains why the Hilbert system is primitive for metalogic (uniform extensibility, MCS closure, deduction theorem as theorem, simple induction) and natural deduction is derived. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Session: sess_1781129709_2498f0
Session: sess_1781128371_8f84f0 Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Brings in lint fixes from task 85 and task 86 (phases 1-2): - Task 85: Propositional file lint fixes, FrameConditions import fix - Task 86 phase 1: trivial fixes (double blank line, unused tactics) - Task 86 phase 2: flexible simp -> simp only replacements - Upstream: Bisimulation golf, governance, toolchain bump Lean files resolved to feature branch (lint-fixed) versions. Cslib.lean resolved to main (preserves Temporal imports). Session: sess_1781128371_8f84f0 Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Phases 1-2 completed (trivial fixes + simp only replacements). Phases 3-5 remain (import removals, restructuring, CI verification). Cleaned up orchestrator transient files. Session: sess_1781128371_8f84f0 Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Removed unused `import Cslib.Init` from FrameConditions.lean. Connectives.lean and InferenceSystem.lean require Cslib.Init for Type* notation (via Mathlib.Tactic.TypeStar) so were kept unchanged. Session: sess_1781130632_b2a8c2
Session: sess_1781131142_bf29ba Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Investigation found that lake exe shake recommendations are not applicable: Theorems files need their theorem-bearing imports (not just ProofSystem typeclasses), and all files need private import Cslib.Init for Type* notation since the public import chain uses private Cslib.Init throughout. Session: sess_1781130632_b2a8c2
0 critical, 0 high, 3 medium, 3 low issues found. Fixed stale active_topics in state.json. Session: sess_1781131440_3f1197 Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Reverted FrameConditions.lean Cslib.Init removal (checkInitImports requires all modules to import Cslib.Init). All 4 runnable CI checks pass with 0 errors in scope files. Added noshake.json config file. Session: sess_1781130632_b2a8c2
- Removed unused `public import Mathlib.Data.Finset.Attr` from FrameConditions.lean (verified by shake and full build) - Removed scripts/noshake.json to match upstream (upstream deleted it in commit 2293f61 when upgrading to --add-public --keep-implied --keep-prefix flags; shake is commented out in upstream CI) - Tested all shake import recommendations for in-scope files; every recommendation either breaks the build or fails checkInitImports - All 4 active upstream CI checks pass: lake lint, lint-style, checkInitImports, mk_all --module --check Session: sess_1781130632_b2a8c2
Session: sess_1749745000_a3b2c1 Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Session: sess_1781282351_53fffc Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Replace raw constructor calls with notation in Propositional/Metalogic/: - MinCompleteness: Proposition.bot -> ⊥, φ.imp ψ ∈ T.val -> (φ → ψ) ∈ T.val - MinLindenbaum: Proposition.bot -> ⊥, a.imp φ -> (a → φ), deductionWithMem arg - IntLindenbaum: a.imp φ -> (a → φ), deductionWithMem arg, return type existential - Completeness: φ.imp ψ -> (φ → ψ) in prop_negation_complete call, Proposition.neg → (¬·) - MCS, DeductionTheorem: all .imp in ∀-quantified positions, skipped per constraints - Soundness, IntSoundness, MinSoundness, IntCompleteness: no changes needed Plan Phase 4 marked [COMPLETED]. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
Replace expression-position raw constructors with notation in: - Cslib/Logics/Modal/Basic.lean: theorem signatures (.neg φ→¬φ, .diamond φ→◇φ, .and→∧, .or→∨) and change tactics using only prefix operators (◇◇φ, ◇φ) - Cslib/Logics/Modal/LogicalEquivalence.lean: Context.fill function body (.imp→→, .box→□ in match arm results) - Cube.lean and Denotation.lean: no safe replacements found (pattern match arms and tactic arguments only) Key constraint learned: change tactics with Proposition.imp (→) notation are unsafe because the tactic parser sees → as Lean's function arrow. Only prefix operators (◇, □, ¬) are safe in change/have type annotations. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
All 16 ProofSystem/Instances files examined. All Proposition.imp/box/bot/diamond occurrences are inside inductive constructor return types and must not be replaced. No expression-position occurrences found. Build passes. Session: sess_1749800000_165ph6
Session: sess_1749805000_165ph7
…rems Session: sess_1749810000_165ph8
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
Applied safe syntactic sugar replacements to 10 temporal metalogic files: DenseCompleteness, WitnessSeed, Chronicle/Frame, CompletenessHelpers, TemporalContent, MCS, Chronicle/ChronicleConstruction, Chronicle/RRelation, Chronicle/CounterexampleElimination, Chronicle/PointInsertion. Replaced Formula.X ∈/∉ patterns with notation (¬, 𝐅, 𝐆, 𝐏, 𝐇, U, S, →) in set membership contexts only. Total ~230 replacements across all files. lake build Cslib.Logics.Temporal.Metalogic passes. Phase 9 complete. Session: sess_1749820000_165ph9b Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
All 9 phases complete. Replaced ~650+ raw constructor calls with scoped notation across Propositional, Modal, and Temporal logic modules. lake test passes (8976 jobs). Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
Session: sess_1749783600_orchestrate Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
Session: sess_1749783600_orchestrate Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
Three tasks to incorporate task 165 syntactic sugar changes into open PRs: - 166: PR leanprover#633 (pr1/foundations-logic) — Propositional, addresses xcthulhu review comment - 167: PR leanprover#637 (refactor/modal-primitives) — Modal - 168: pr3/temporal-formula branch — Temporal (no PR submission) Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
A previous modification to CODEOWNERS had the unintended consequence that chenson2018 couldn't approve PRs to logic any longer, which is too restrictive until we get more logic maintainers.
Adds logical equivalence for modal logic, proving that it is a `Congruence` (for any modal logic, regardless of the class of models considered) and a `LogicalEquivalence` (for logic K, i.e., when considering the class of all models). The PR also renames `Proposition.neg` to `Proposition.not` and adds a useful lemma on `Proposition.iff`. Depends on leanprover#528. --------- Co-authored-by: Chris Henson <46805207+chenson2018@users.noreply.github.com>
I forgot `declare_term_config_elab` generated these for Boolean options when writing this documentation.
Refactor the propositional `Proposition` to `{atom, bot, imp}` primitives, with
negation, conjunction, disjunction, and verum as derived `abbrev`s. `{imp, bot}`
is functionally complete for classical logic, so the other connectives are
definable rather than postulated: this keeps the inductive minimal (fewer cases
in every recursion and induction) and lets the derived connectives unfold
definitionally, so reasoning about them needs no separate axioms or bridging
lemmas.
- Add `Cslib/Foundations/Logic/Connectives.lean`: the connective typeclass
hierarchy (`HasBot`, `HasImp`, `HasBox`, `HasUntil`, `HasSince`; bundled
`PropositionalConnectives`/`ModalConnectives`/`TemporalConnectives`/
`BimodalConnectives`; and `ImpBotDerived` for the derived-connective defaults).
- Replace `and`/`or`/`impl` constructors with `bot`/`imp` in
`Propositional/Defs.lean`; update `complexity`, `atoms`, and `subst`.
- Cut the natural-deduction rules from 10 to 5; the derived-connective rules
become derivable rather than primitive.
- Add bibliography entries (Church, Gentzen, Heyting, Chagrov & Zakharyaschev,
Prawitz, Troelstra & van Dalen).
Refactor the modal `Proposition` inductive to the `{atom, bot, imp, box}`
primitive basis: falsum and implication as the primitive propositional
connectives, box as the primitive modality. Negation, conjunction,
disjunction, verum, possibility, and biconditional become derived connectives
via the `Cslib.Foundations.Logic.Connectives` interface introduced in leanprover#635;
`Proposition` is registered as a `ModalConnectives` instance.
- Replace `not`/`and`/`diamond` constructors with `bot`/`imp`/`box`; derived
connectives are `abbrev`s, enabling definitional unfolding.
- Rewrite `Satisfies` on the new primitives and add explicit characterisation
lemmas (`neg_iff`, `diamond_iff`, `and_iff`, `or_iff`, `iff_iff_iff`).
- Replace all `grind`-based axiom-validity proofs (K, dual, T, B, 4, 5, D and
their frame-correspondence converses) with explicit term-mode proofs.
- Update `Denotation.lean` for the new primitives with explicit proofs.
- Rework `LogicalEquivalence.lean`: a one-hole `Proposition.Context` and a
direct `LogicallyEquivalent`/`congruence`, in place of instantiating the
shared `LogicalEquivalence` typeclass (rationale in the file's Design Notes).
- Add `#grind_lint skip` entries for the derived-connective characterisations
whose `@[scoped grind =]` annotations have long instantiation chains.
Stacked on leanprover#635 (propositional primitives); review/merge that first.
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Collaborator
|
Hi @benbrastmckie. Thanks again for your interest in contributing, but a PR of this size is not feasible to review, independent of any concerns about AI usage. I think that #635 where you've split out a small first PR is a step in the right direction. |
Author
|
My mistake! It's been tricky to find where to carve at the joints, but am working on a better first Modal/ PR that is small and manageable. Thanks for your patience! |
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Rebased refactor/modal-primitives onto main, resolved all merge conflicts across 7 files, applied syntactic sugar, passed CI pipeline, and pushed to PR leanprover#637. Session: sess_1781293333_a108c0_167
benbrastmckie
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Jun 13, 2026
Rebased refactor/modal-primitives onto main, resolved all merge conflicts across 7 files, applied syntactic sugar replacements, passed full CI pipeline, and pushed to PR leanprover#637. Task transitions to [PR READY]. Session: sess_1781293333_a108c0_167 Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
benbrastmckie
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Jun 14, 2026
Three tasks to incorporate task 165 syntactic sugar changes into open PRs: - 166: PR leanprover#633 (pr1/foundations-logic) — Propositional, addresses xcthulhu review comment - 167: PR leanprover#637 (refactor/modal-primitives) — Modal - 168: pr3/temporal-formula branch — Temporal (no PR submission) Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
benbrastmckie
added a commit
to benbrastmckie/cslib
that referenced
this pull request
Jun 14, 2026
Rebased refactor/modal-primitives onto main, resolved all merge conflicts across 7 files, applied syntactic sugar, passed CI pipeline, and pushed to PR leanprover#637. Session: sess_1781293333_a108c0_167
benbrastmckie
added a commit
to benbrastmckie/cslib
that referenced
this pull request
Jun 14, 2026
Rebased refactor/modal-primitives onto main, resolved all merge conflicts across 7 files, applied syntactic sugar replacements, passed full CI pipeline, and pushed to PR leanprover#637. Task transitions to [PR READY]. Session: sess_1781293333_a108c0_167 Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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Summary
Refactors the modal
Propositioninductive type to use{atom, bot, imp, box}as primitiveconstructors, taking falsum (
⊥) and implication (→) as the primitive propositional connectivesand box (
□) as the primitive modality. Negation (neg), verum (top), disjunction (or),conjunction (
and), possibility (diamond), and biconditional (iff) are derived connectivesdefined as
abbrevs, enabling definitional unfolding. This replaces the previousnot/and/diamondprimitives.Dependency: stacked on #635
This PR is stacked on #635 ("refactor: Proposition type to bot/imp primitives"), which
introduces
Cslib/Foundations/Logic/Connectives.leanand the typeclass interface for derivedconnectives (
HasBot,HasImp,HasBox,ModalConnectives, …). The choice and justification ofthe primitive basis live there; this PR defers to it rather than re-deriving the convention, and
registers
Modal.Propositionas aModalConnectivesinstance.Please review/merge #635 first. Until #635 lands, this PR's branch carries #635's commits, so the
diff below shows those foundation files as well; once #635 is merged the diff reduces to the four
Modal files listed under "File-by-file".
Design note: logical equivalence
LogicalEquivalence.leanstates modal logical equivalence and its congruence directly(
LogicallyEquivalent+LogicallyEquivalent.congruence) rather than instantiating the sharedCslib.Logic.LogicalEquivalencetypeclass thatCslib.Logic.HMLuses. Two reasons:models (logic
Kover all models,Tover reflexive models, and so on). The shared typeclassfixes a single relation
eqv : Proposition → Proposition → Prop, which can only capture theall-models case; the parametric family does not fit the interface.
Satisfies m w φinto a one-argument judgement (HasContext/HasHContext/eqvFillValid) purelyto satisfy
Valid : Judgement → Sort. The modal development only needs the congruence result,which is proved here in a few lines by induction on the one-hole
Proposition.Context.The rationale is recorded in the file's
## Design Notes.File-by-file change summary
Cslib/Logics/Modal/Basic.lean
not/and/diamondconstructors withbot/imp/box; adds derived connectives asabbrevs (neg,top,or,and,diamond,iff); registers theModalConnectivesinstance.Satisfieson the new primitives; adds explicit characterisation theorems(
Satisfies.neg_iff,diamond_iff,and_iff,or_iff,iff_iff_iff).grind-based axiom-validity proof (K, dual, T, B, 4, 5, D and their framecorrespondence converses) with explicit term-mode proofs.
grind-based theory-level proofs (TheoryEq.ext_iff,satisfies_theory,not_theoryEq_satisfies) with explicit proofs.Cslib/Logics/Modal/Denotation.lean
denotationto match on{atom, bot, imp, box}.grind-based proofs (satisfies_mem_denotation,neg_denotation,theoryEq_denotation_eq) with explicit case-by-case proofs.Cslib/Logics/Modal/LogicalEquivalence.lean
Proposition.Context(hole,impL,impR,box) withfill.LogicallyEquivalentandLogicallyEquivalent.congruence(see Design note above).CslibTests/GrindLint.lean
#grind_lint skipentries for the derived-connective characterisation theorems whose@[scoped grind =]annotations produce long instantiation chains.AI Disclosure
This PR was prepared with the assistance of Claude Code (Anthropic), used for drafting/extracting
files from a development branch, running CI verification commands, and drafting this description.
All Lean code was written by the author (Benjamin Brast-McKie) and verified to
compile on the PR branch.