{"title": "R11: Resources are released: at most once per registration, exactly once in close order", "producer": ["GENERATED by tools/Drivers/Semantics.lean (make gen-semantics); do not edit", "format: effect4-semantics-report v8", "command: make gen-semantics", "inputs: tools/ProofGraph/Registry.lean, tools/Tools/Semantics.lean, tools/Drivers/Semantics.lean, tools/Tools/SemanticsDisplay.lean, tools/Tools/SemanticsDocument.lean, tools/Tools/Document.lean, tools/Tools/Document/Json.lean, src/Effect4/Laws/Auto/Semantics.lean, Test/Counterexamples/REGISTER.md, docs/core/decisions.md, lean-toolchain"], "format": "effect4-document/1", "body": [{"lines": [[{"text": "Open, worded as a proposed claim: pool-lease-return and pool-close-waits (proposed claims; scope-lifetime-finalization): a committed lease returns its item at most once, and exactly once where its exit ended; a lease that is refused at a closing pool commits nothing; the close ends only after every lease returned, and each item is then finalized once; the model's facts are giveBack_front, giveBack_once, close_refuses and drain_waits; the forms are stated, scoped and typed: use is the protected form over the lease's loop and the return, and the close is the wrapper over the closer's step, registered by make after the acquisitions (use_types, close_answers, make_types); their steps are return_attempt, close_attempt and drain_attempt; no goal states a clause, and each waits for the carrying fact of a region and for a finalizer's law of a run; finite controls: a lease in its own mask is lost under an interruption, a wait inside a mask of the form's making cannot be interrupted, the stand-in for the mask fails under a masked caller, and a close that does not wait finalizes an item that a borrower still holds (Test/Program/PoolTraces.lean, traces 4, 5 and 8; Test/Program/PoolPublic.lean, PP7) (decisions rows 222, 267, 268, 276, 279)"}], [{"text": "Open, not triaged: the whole run open: release at most once per registration, counted by identity (DB-07); its planned goals are three, one program each: Workers.releases_once, cleans_once and QueueWorkers.releases_once"}], [{"text": "Open, not triaged: the whole run open: exactly once in close order over closed scopes and structured regions, with a completed-cleanup receipt (DB-07, DI-65)"}], [{"text": "Open, not triaged: state retained at a frontier, open scopes closed only by an explicit abandon (the owner's ruling of 2026-09-07)"}], [{"text": "Open, waits on a ruling (the model probe's D8, not ruled (DB-07)): a scope a finished run leaves open is an observation, as in rc.112 (the model probe's D8, unruled per DB-07)"}], [{"text": "Open, not triaged: the carrying fact of a region (scope-lifetime-finalization, serving saved-mask-region-bracket): the stack shape above ++ below is kept along the fiber machine's evaluator arms and commands while the fiber is inside the region, until the command that ends it; the bracket takes the shape as a premise at the later cut; its statement elaborates and a finite probe on eight runs finds no counterexample (docs/research/2026-10-06-seat-BRACKET-carry.lean.txt); the frame machine's own step keeps the shape (step_under); no goal states it"}], [{"text": "Open, worded as a proposed claim: semaphore-protected-permit (proposed claim; scope-lifetime-finalization): across every prefix of a run a committed activation of Semaphore's protected form releases at most once; an activation whose exit has completed through its cleanup has released exactly once, with enough work for the cleanup or a retained frontier; while the cleanup has not completed, the release obligation stays in the observation, and a frontier is no completed exit; the form is one mask over the take's loop, the hook and the body at the restore site (protectedBy), scoped and typed (protectedBy_has, withPermits_types); no goal states a clause, and each waits for the carrying fact of a region; finite controls: a take in its own mask loses its permit under an interruption, a wait inside a mask of the form's making cannot be interrupted, and the stand-in for the mask fails under a masked caller (Test/Program/SemaphoreTraces.lean, traces 4, 5 and 8); Pool's lease is the second user (decisions rows 222, 259, 276)"}], [{"text": "Open, worded as a proposed claim: waiting-request-obligation-preserved (proposed claim; reactive-scheduling, serving R10 to R12): a selected request's notification stays in store debt, queued commands, dispatcher work or the receiver's accepted continuation until it is discharged; when cancellation wins and withdraws the request before consumption, the operation consumes nothing; a completed commit stays committed, even when the caller is interrupted before its continuation; an interruption that is only requested, and stays pending under a mask, withdraws nothing; an old token is inert after rearming (decisions rows 221, 222); the Queue model's half of its first clause is proved on the first profile (queue-first-step-invariant), and the wrapper's run stays open"}]], "kind": "items"}, {"title": "Requirement R11: Resource release and finalization", "kind": "part", "key": "about:req:R11", "body": [{"line": [{"text": "This page explains requirement R11 in Effect4. It covers what the requirement asks for resource release guarantees, why disciplined finalization matters, and how the property is checked."}], "kind": "para"}, {"title": "What the requirement asks", "kind": "part", "key": "about:req:R11:what-it-asks", "body": [{"line": [{"text": "Requirement R11 demands that allocated resources are released reliably across all exit paths ("}, {"code": "docs/core/system-map.md"}, {"text": " §8, DB-07):"}], "kind": "para"}, {"lines": [[{"text": "At-most-once release: each registered cleanup executes at most once per registration, counted by identity."}], [{"text": "Strict close order: finalizers execute in reverse registration order across closed scopes and structured regions."}], [{"text": "State-first cleanup: a scope sets its closed bit before running any finalizer, preventing duplicate or re-entrant execution."}], [{"text": "Frontier state retention: state produced before reaching a live frontier is kept intact for subsequent continuation."}]], "kind": "items"}, {"line": [{"text": "A scope that finishes cleanly or encounters a failure must not leak registered resources."}], "kind": "para"}]}, {"title": "Why it matters", "kind": "part", "key": "about:req:R11:why-it-matters", "body": [{"line": [{"text": "Concurrent applications acquire external resources including file handles, database transactions, network sockets, and timer registrations."}], "kind": "para"}, {"line": [{"text": "If finalizers ran out of order or executed multiple times, systems would suffer from use-after-free defects or corrupted state."}], "kind": "para"}, {"line": [{"text": "Cleanup in the reverse order of acquisition releases a resource before the resources it depends on."}], "kind": "para"}]}, {"title": "How it is checked", "kind": "part", "key": "about:req:R11:how-it-is-checked", "body": [{"line": [{"text": "The requirement is checked by proving scope transition, close ordering, and finalizer execution theorems:"}], "kind": "para"}, {"lines": [[{"text": "Idempotent closing and reverse-order execution are stated by "}, {"code": "close_twice"}, {"text": " and "}, {"code": "closeOrder_eq"}, {"text": " ("}, {"code": "src/Effect4/Machine/Scope.lean"}, {"text": ")."}], [{"text": "Re-entrant addition semantics on closed scopes is stated by "}, {"code": "close_reentrant_add"}, {"text": " in the same file."}], [{"text": "Single close execution bounds are stated by "}, {"code": "runState_complete"}, {"text": " and "}, {"code": "runState_prefix"}, {"text": " ("}, {"code": "src/Effect4/Laws/Machine/ScopeMachine.lean"}, {"text": ")."}], [{"text": "Finalizer start bounding is stated by "}, {"code": "starts_le_pushes"}, {"text": " ("}, {"code": "src/Effect4/Laws/Program/FinalizerRun.lean"}, {"text": ")."}]], "kind": "items"}, {"line": [{"text": "The plan on this page gives each theorem's status and the goals it rests on."}], "kind": "para"}]}]}, {"nodes": [{"status": "goal", "ref": "open:Effect4.Program.FinalizerRun.once_placed_pushes_once", "label": "once_placed_pushes_once", "key": "Effect4.Program.FinalizerRun.once_placed_pushes_once", "detail": ""}, {"status": "modulo", "label": "cleans_once", "key": "Test.Dogfood.Scenario.Atomic.cleans_once", "detail": ""}, {"status": "goal", "ref": "open:Test.Dogfood.Scenario.Atomic.Cleanup.log_debits", "label": "log_debits", "key": "Test.Dogfood.Scenario.Atomic.Cleanup.log_debits", "detail": ""}, {"status": "modulo", "label": "QueueWorkers.releases_once", "key": "Test.Dogfood.Scenario.QueueWorkers.releases_once", "detail": ""}, {"status": "modulo", "label": "cleanup_step", "key": "Test.Dogfood.Scenario.QueueWorkers.Assertions.cleanup_step", "detail": ""}, {"status": "goal", "ref": "open:Test.Dogfood.Scenario.QueueWorkers.Assertions.logs_history", "label": "logs_history", "key": "Test.Dogfood.Scenario.QueueWorkers.Assertions.logs_history", "detail": ""}, {"status": "goal", "ref": "open:Test.Dogfood.Scenario.Timeout.cleanup_keeps", "label": "cleanup_keeps", "key": "Test.Dogfood.Scenario.Timeout.cleanup_keeps", "detail": ""}, {"status": "modulo", "label": "Workers.releases_once", "key": "Test.Dogfood.Scenario.Workers.releases_once", "detail": ""}, {"status": "goal", "ref": "open:Test.Dogfood.Scenario.Workers.Assertions.logs_step", "label": "logs_step", "key": "Test.Dogfood.Scenario.Workers.Assertions.logs_step", "detail": ""}], "kind": "graph", "key": "fig:open:R11", "edges": [["Test.Dogfood.Scenario.Atomic.cleans_once", "Test.Dogfood.Scenario.Atomic.Cleanup.log_debits"], ["Test.Dogfood.Scenario.QueueWorkers.releases_once", "Test.Dogfood.Scenario.QueueWorkers.Assertions.cleanup_step"], ["Test.Dogfood.Scenario.QueueWorkers.Assertions.cleanup_step", "Test.Dogfood.Scenario.QueueWorkers.Assertions.logs_history"], ["Test.Dogfood.Scenario.Workers.releases_once", "Test.Dogfood.Scenario.Workers.Assertions.logs_step"]], "caption": "The open part of R11: its planned goals and the theorems proved modulo them. 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