feat: Weakest preconditions - Language interface and WP fixpoint (PR H)#8
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feat: Weakest preconditions - Language interface and WP fixpoint (PR H)#8
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Add the data structures and resource algebras needed for invariant mask reasoning in the base logic (wsat, fancy updates). Includes CoPset/GSet types with set operations, CoPsetDisj/GSetDisj disjoint-union CMRAs, hierarchical namespaces with nclose, and PORTING.md updates.
Add `big_sepL` (list) and `big_sepM` (map) iterated separating conjunction, specialized from the algebra-level big ops to the BI separation connective. Includes monoid instance for sep/emp, computation rules, structural lemmas (mono, app, sep, insert, delete, lookup_acc, later, singleton, union), iprop notation, and root imports.
Add Auth resource algebra built on the view construction, including: - authViewRel and IsViewRel instance - Auth type with ● (authoritative) and ◯ (fragment) notation - Validity, inclusion, and injectivity lemmas - Frame-preserving updates: auth_update, auth_update_alloc, auth_update_dealloc, auth_update_auth_persist, auth_local_update - AuthURF/AuthRF functors with URFunctor/RFunctor instances - View, Heap, and HeapView functor additions - CMRA infrastructure extensions (opM lemmas, validN helpers) Based on upstream PR leanprover-community#134 (ahuoguo/AuthCmra).
Stub file for `iris/base_logic/lib/wsat.v` with sorry'd definitions and theorems: WsatGS, ownI, ownE, ownD, wsat, and all key lemmas (open/close, allocation, disjointness).
Implement all definitions and theorems for wsat.v: WsatGS, ownI, ownE, ownD, wsat, open/close lemmas, allocation, and initial world.
Stub file for `iris/base_logic/lib/fancy_updates.v` with sorry'd definitions and theorems: uPred_fupd, FUpd instance, mask intro, mono, trans, frame, bupd lifting, plain interaction, and soundness.
Implement all definitions and theorems for fancy_updates.v: uPred_fupd, FUpd instance, mask intro/mono/trans/frame, bupd lifting, plain interaction, and soundness. ProofMode instances deferred.
Stub file for `iris/base_logic/lib/invariants.v` with sorry'd definitions and theorems: own_inv, inv, persistent, alloc, alloc_open, acc, acc_timeless, alter, iff.
Stub files for Language interface and WeakestPre with sorry'd proofs: - Language.lean: Language structure, LanguageMixin, LanguageCtx, Atomic, Stuckness, reducible/irreducible/stuck, PureStep/PureExec, Step/cfg - WeakestPre.lean: IrisGS class, wp_pre, wp fixpoint, wp_unfold, wp_value_fupd, wp_strong_mono, fupd_wp, wp_fupd, wp_bind, wp_bind_inv, wp_mono, wp_frame_l/r, wp_wand, wp_atomic
Fill in all sorry'd proofs for Language and WeakestPre: - Language.lean: LanguageMixin, LanguageCtx, Atomic, PureStep/PureExec, IntoVal/AsVal, reducible/irreducible/stuck lemmas, fill lemmas - WeakestPre.lean: IrisGS class, wp fixpoint via contractive iteration, wp_unfold, wp_value_fupd, wp_strong_mono, fupd_wp, wp_fupd, wp_bind, wp_bind_inv, wp_mono, wp_frame_l/r, wp_wand, wp_atomic Also includes minor fixes to BigOp, FancyUpdates, Wsat, Invariants, and CancelableInvariants discovered during integration.
hxrts
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Summary
iris/program_logic/language.v:Languagestructure,LanguageMixin,LanguageCtx,Atomic,Stuckness, stepping predicates (reducible,irreducible,stuck,not_stuck),PureStep/PureExec,IntoVal/AsVal,Step/cfgiris/program_logic/weakestpre.v:IrisGSclass,wp_pre/wpfixpoint via contractive iteration, core rules (wp_unfold,wp_value_fupd,wp_strong_mono,fupd_wp,wp_fupd,wp_bind,wp_bind_inv), derived rules (wp_mono,wp_frame_l/r,wp_wand,wp_atomic)Test plan
lake buildpasses (135 jobs, 0 errors)language.vweakestpre.v