866 lines
34 KiB
Text
866 lines
34 KiB
Text
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------------------------------ MODULE Remora ------------------------------
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EXTENDS Naturals, FiniteSets, TLC
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\* Implementation-level distributed job protocol.
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\*
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\* Durable variables are authoritative PostgreSQL state. Coordination
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\* variables are reconstructible Dragonfly state. Attempts remain observable
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\* after losing authority, so delayed requests and zombie target writes are
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\* checked. Target writes use an attempt-specific staging identity; only the
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\* durable AcceptSuccess compare-and-swap publishes a result.
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CONSTANTS
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Jobs, Workers, InitialWorkers, NoJob, NoWorker,
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MaxAttempts, MaxProgress, LeaseLimit,
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LocalLimit, GlobalLimit, FaultsEnabled, FaultServices
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ASSUME /\ Jobs # {}
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/\ Workers # {}
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/\ InitialWorkers \subseteq Workers
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/\ InitialWorkers # {}
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/\ MaxAttempts \in Nat \ {0}
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/\ MaxProgress \in Nat \ {0}
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/\ LeaseLimit \in Nat \ {0}
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/\ LocalLimit \in Nat \ {0}
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/\ GlobalLimit \in Nat \ {0}
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/\ FaultsEnabled \in BOOLEAN
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/\ FaultServices \subseteq {"Coordination", "Durable", "Target"}
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/\ NoJob \notin Jobs
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/\ NoWorker \notin Workers
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Queued == "Queued"
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Running == "Running"
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RetryWait == "RetryWait"
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Cancelling == "Cancelling"
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Succeeded == "Succeeded"
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Failed == "Failed"
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Cancelled == "Cancelled"
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Phases == {Queued, Running, RetryWait, Cancelling,
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Succeeded, Failed, Cancelled}
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TerminalPhases == {Succeeded, Failed, Cancelled}
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WorkerUnused == "WorkerUnused"
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WorkerUp == "WorkerUp"
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WorkerDown == "WorkerDown"
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WorkerStates == {WorkerUnused, WorkerUp, WorkerDown}
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CoordSvc == "Coordination"
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DurableSvc == "Durable"
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TargetSvc == "Target"
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Services == {CoordSvc, DurableSvc, TargetSvc}
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LinkUp == "LinkUp"
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LinkDown == "LinkDown"
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LinkRecovered == "LinkRecovered"
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LinkStates == {LinkUp, LinkDown, LinkRecovered}
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AttemptUnused == "AttemptUnused"
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AttemptAuthorized == "AttemptAuthorized"
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AttemptExecuting == "AttemptExecuting"
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AttemptStopped == "AttemptStopped"
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AttemptCommitted == "AttemptCommitted"
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AttemptStates == {AttemptUnused, AttemptAuthorized, AttemptExecuting,
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AttemptStopped, AttemptCommitted}
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NoLease == "NoLease"
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LeaseLive == "LeaseLive"
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LeaseExpired == "LeaseExpired"
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LeaseStates == {NoLease, LeaseLive, LeaseExpired}
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StageNone == "StageNone"
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StagePartial == "StagePartial"
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StageComplete == "StageComplete"
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StageCleaned == "StageCleaned"
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StageStates == {StageNone, StagePartial, StageComplete, StageCleaned}
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NoOutcome == "NoOutcome"
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WantsSuccess == "WantsSuccess"
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WantsFailure == "WantsFailure"
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OutcomeRequests == {NoOutcome, WantsSuccess, WantsFailure}
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NoAttempt == [job |-> NoJob, token |-> 0]
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\* Implementations use opaque attempt IDs. The bounded model canonically uses
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\* <<job, token>>; the token is strictly increasing and never reused per job.
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AttemptIds ==
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{[job |-> j, token |-> token] :
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j \in Jobs, token \in 1..MaxAttempts}
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AttemptId(j, token) == [job |-> j, token |-> token]
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JobOf(a) == a.job
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TokenOf(a) == a.token
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VARIABLES
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\* Authoritative durable state.
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phase, cancelRequested, currentToken, authority, dispatchNeeded,
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committedAttempt, checkpoint, checkpointValid,
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\* Reconstructible coordination state.
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queued, reservation, leaseState, leaseAge, cancelNotice,
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liveProgress, liveProgressAttempt, coordinationLostOnce,
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\* Worker incarnations and service-specific connectivity.
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workerState, links,
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\* Explicit attempts, staging, and delayed outcome requests.
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attemptState, attemptWorker, attemptProgress, initialProgress,
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resumedFromCheckpoint, stageState, pendingOutcome
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durableVars ==
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<<phase, cancelRequested, currentToken, authority, dispatchNeeded,
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committedAttempt, checkpoint, checkpointValid>>
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coordinationVars ==
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<<queued, reservation, leaseState, leaseAge, cancelNotice,
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liveProgress, liveProgressAttempt, coordinationLostOnce>>
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workerVars == <<workerState, links>>
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attemptVars ==
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<<attemptState, attemptWorker, attemptProgress, initialProgress,
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resumedFromCheckpoint, stageState, pendingOutcome>>
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vars == <<durableVars, coordinationVars, workerVars, attemptVars>>
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Terminal(j) == phase[j] \in TerminalPhases
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CanReach(w, service) == links[w][service] # LinkDown
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CurrentAuthority(a) ==
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/\ authority[JobOf(a)] = a
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/\ currentToken[JobOf(a)] = TokenOf(a)
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ReservedJobs == {j \in Jobs : reservation[j] # NoWorker}
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LiveLeases == {a \in AttemptIds : leaseState[a] = LeaseLive}
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ReservedFor(w) == {j \in Jobs : reservation[j] = w}
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LeasedFor(w) ==
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{a \in AttemptIds :
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leaseState[a] = LeaseLive /\ attemptWorker[a] = w}
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ExecutingFor(w) ==
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{a \in AttemptIds :
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attemptState[a] = AttemptExecuting /\ attemptWorker[a] = w}
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CapacityAvailable(w) ==
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/\ Cardinality(ReservedJobs) + Cardinality(LiveLeases) < GlobalLimit
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/\ Cardinality(ReservedFor(w)) + Cardinality(ExecutingFor(w)) < LocalLimit
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Init ==
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\* Jobs denotes accepted durable submissions. The outbox precedes queueing.
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/\ phase = [j \in Jobs |-> Queued]
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/\ cancelRequested = [j \in Jobs |-> FALSE]
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/\ currentToken = [j \in Jobs |-> 0]
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/\ authority = [j \in Jobs |-> NoAttempt]
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/\ dispatchNeeded = [j \in Jobs |-> TRUE]
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/\ committedAttempt = [j \in Jobs |-> NoAttempt]
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/\ checkpoint = [j \in Jobs |-> 0]
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/\ checkpointValid = [j \in Jobs |-> FALSE]
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/\ queued = [j \in Jobs |-> FALSE]
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/\ reservation = [j \in Jobs |-> NoWorker]
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/\ leaseState = [a \in AttemptIds |-> NoLease]
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/\ leaseAge = [a \in AttemptIds |-> 0]
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/\ cancelNotice = [j \in Jobs |-> FALSE]
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/\ liveProgress = [j \in Jobs |-> 0]
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/\ liveProgressAttempt = [j \in Jobs |-> NoAttempt]
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/\ coordinationLostOnce = FALSE
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/\ workerState =
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[w \in Workers |->
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IF w \in InitialWorkers THEN WorkerUp ELSE WorkerUnused]
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/\ links = [w \in Workers |-> [s \in Services |-> LinkUp]]
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/\ attemptState = [a \in AttemptIds |-> AttemptUnused]
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/\ attemptWorker = [a \in AttemptIds |-> NoWorker]
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/\ attemptProgress = [a \in AttemptIds |-> 0]
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/\ initialProgress = [a \in AttemptIds |-> 0]
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/\ resumedFromCheckpoint = [a \in AttemptIds |-> FALSE]
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/\ stageState = [a \in AttemptIds |-> StageNone]
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/\ pendingOutcome = [a \in AttemptIds |-> NoOutcome]
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\* Durable outbox projection. Duplicate dispatch is idempotent.
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Enqueue(j) ==
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/\ phase[j] = Queued
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/\ dispatchNeeded[j]
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/\ ~queued[j]
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/\ reservation[j] = NoWorker
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/\ queued' = [queued EXCEPT ![j] = TRUE]
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/\ UNCHANGED durableVars
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/\ UNCHANGED <<reservation, leaseState, leaseAge, cancelNotice,
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liveProgress, liveProgressAttempt, coordinationLostOnce>>
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/\ UNCHANGED workerVars
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/\ UNCHANGED attemptVars
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\* Coordination atomically reserves a logical permit. It is not authority.
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Reserve(j, w) ==
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/\ queued[j]
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/\ reservation[j] = NoWorker
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/\ workerState[w] = WorkerUp
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/\ CanReach(w, CoordSvc)
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/\ CapacityAvailable(w)
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/\ queued' = [queued EXCEPT ![j] = FALSE]
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/\ reservation' = [reservation EXCEPT ![j] = w]
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/\ UNCHANGED durableVars
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/\ UNCHANGED <<leaseState, leaseAge, cancelNotice, liveProgress,
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liveProgressAttempt, coordinationLostOnce>>
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/\ UNCHANGED workerVars
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/\ UNCHANGED attemptVars
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\* Durable CAS: allocate the next attempt and token. This claim linearization
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\* point consumes retry budget even if the worker is lost before execution.
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AuthorizeAttempt(j, w) ==
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LET a == AttemptId(j, currentToken[j] + 1)
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IN /\ phase[j] = Queued
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/\ dispatchNeeded[j]
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/\ reservation[j] = w
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/\ workerState[w] = WorkerUp
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/\ CanReach(w, DurableSvc)
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/\ currentToken[j] < MaxAttempts
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/\ attemptState[a] = AttemptUnused
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/\ phase' = [phase EXCEPT ![j] = Running]
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/\ currentToken' = [currentToken EXCEPT ![j] = @ + 1]
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/\ authority' = [authority EXCEPT ![j] = a]
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/\ dispatchNeeded' = [dispatchNeeded EXCEPT ![j] = FALSE]
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/\ attemptState' = [attemptState EXCEPT ![a] = AttemptAuthorized]
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/\ attemptWorker' = [attemptWorker EXCEPT ![a] = w]
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/\ attemptProgress' =
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[attemptProgress EXCEPT
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![a] = IF checkpointValid[j] THEN checkpoint[j] ELSE 0]
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/\ initialProgress' =
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[initialProgress EXCEPT
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![a] = IF checkpointValid[j] THEN checkpoint[j] ELSE 0]
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/\ resumedFromCheckpoint' =
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[resumedFromCheckpoint EXCEPT
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![a] = checkpointValid[j] /\ checkpoint[j] > 0]
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/\ stageState' =
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[stageState EXCEPT
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![a] = IF ~checkpointValid[j] \/ checkpoint[j] = 0
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THEN StageNone
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ELSE IF checkpoint[j] = MaxProgress
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THEN StageComplete ELSE StagePartial]
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/\ UNCHANGED <<cancelRequested, committedAttempt, checkpoint,
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checkpointValid>>
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/\ UNCHANGED coordinationVars
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/\ UNCHANGED workerVars
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/\ UNCHANGED pendingOutcome
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\* Coordination converts the reservation to a renewable lease and execution.
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ActivateAttempt(a) ==
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LET j == JobOf(a)
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w == attemptWorker[a]
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IN /\ CurrentAuthority(a)
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/\ phase[j] = Running
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/\ attemptState[a] = AttemptAuthorized
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/\ reservation[j] = w
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/\ workerState[w] = WorkerUp
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/\ CanReach(w, CoordSvc)
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/\ reservation' = [reservation EXCEPT ![j] = NoWorker]
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/\ leaseState' = [leaseState EXCEPT ![a] = LeaseLive]
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/\ leaseAge' = [leaseAge EXCEPT ![a] = 0]
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/\ liveProgress' = [liveProgress EXCEPT ![j] = attemptProgress[a]]
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/\ liveProgressAttempt' =
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[liveProgressAttempt EXCEPT ![j] = a]
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/\ attemptState' = [attemptState EXCEPT ![a] = AttemptExecuting]
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/\ UNCHANGED durableVars
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/\ UNCHANGED <<queued, cancelNotice, coordinationLostOnce>>
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/\ UNCHANGED workerVars
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/\ UNCHANGED <<attemptWorker, attemptProgress, initialProgress,
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resumedFromCheckpoint, stageState, pendingOutcome>>
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RenewLease(a) ==
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LET w == attemptWorker[a]
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IN /\ leaseState[a] = LeaseLive
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/\ leaseAge[a] > 0
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/\ workerState[w] = WorkerUp
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/\ CanReach(w, CoordSvc)
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/\ leaseAge' = [leaseAge EXCEPT ![a] = 0]
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/\ UNCHANGED durableVars
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/\ UNCHANGED <<queued, reservation, leaseState, cancelNotice,
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liveProgress, liveProgressAttempt, coordinationLostOnce>>
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/\ UNCHANGED workerVars
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/\ UNCHANGED attemptVars
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\* Real durations refine this bounded logical age.
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Tick ==
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/\ \E a \in AttemptIds :
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leaseState[a] = LeaseLive /\ leaseAge[a] < LeaseLimit
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/\ leaseAge' =
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[a \in AttemptIds |->
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IF leaseState[a] = LeaseLive /\ leaseAge[a] < LeaseLimit
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THEN leaseAge[a] + 1 ELSE leaseAge[a]]
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/\ UNCHANGED durableVars
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/\ UNCHANGED <<queued, reservation, leaseState, cancelNotice,
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liveProgress, liveProgressAttempt, coordinationLostOnce>>
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/\ UNCHANGED workerVars
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/\ UNCHANGED attemptVars
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ExpireLease(a) ==
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LET j == JobOf(a)
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IN /\ leaseState[a] = LeaseLive
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/\ leaseAge[a] = LeaseLimit
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/\ leaseState' = [leaseState EXCEPT ![a] = LeaseExpired]
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/\ leaseAge' = [leaseAge EXCEPT ![a] = 0]
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/\ liveProgress' =
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[liveProgress EXCEPT
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![j] = IF liveProgressAttempt[j] = a THEN 0 ELSE @]
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/\ liveProgressAttempt' =
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[liveProgressAttempt EXCEPT
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![j] = IF @ = a THEN NoAttempt ELSE @]
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/\ UNCHANGED durableVars
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/\ UNCHANGED <<queued, reservation, cancelNotice,
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coordinationLostOnce>>
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/\ UNCHANGED workerVars
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/\ UNCHANGED attemptVars
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\* Failover erases ephemeral state but leaves durable state and processes.
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LoseCoordinationState ==
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/\ FaultsEnabled
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/\ CoordSvc \in FaultServices
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/\ ~coordinationLostOnce
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/\ queued' = [j \in Jobs |-> FALSE]
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/\ reservation' = [j \in Jobs |-> NoWorker]
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/\ leaseState' =
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[a \in AttemptIds |->
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IF leaseState[a] = LeaseLive THEN LeaseExpired
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ELSE leaseState[a]]
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/\ leaseAge' = [a \in AttemptIds |-> 0]
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/\ cancelNotice' = [j \in Jobs |-> FALSE]
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/\ liveProgress' = [j \in Jobs |-> 0]
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/\ liveProgressAttempt' = [j \in Jobs |-> NoAttempt]
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/\ coordinationLostOnce' = TRUE
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/\ UNCHANGED durableVars
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/\ UNCHANGED workerVars
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/\ UNCHANGED attemptVars
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DropLink(w, service) ==
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/\ FaultsEnabled
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/\ service \in FaultServices
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/\ workerState[w] = WorkerUp
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/\ links[w][service] = LinkUp
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/\ links' = [links EXCEPT ![w][service] = LinkDown]
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/\ UNCHANGED durableVars
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/\ UNCHANGED coordinationVars
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/\ UNCHANGED workerState
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/\ UNCHANGED attemptVars
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RestoreLink(w, service) ==
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/\ links[w][service] = LinkDown
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/\ links' = [links EXCEPT ![w][service] = LinkRecovered]
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/\ UNCHANGED durableVars
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/\ UNCHANGED coordinationVars
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/\ UNCHANGED workerState
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/\ UNCHANGED attemptVars
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CrashWorker(w) ==
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/\ FaultsEnabled
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/\ workerState[w] = WorkerUp
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/\ workerState' = [workerState EXCEPT ![w] = WorkerDown]
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/\ attemptState' =
|
||
|
|
[a \in AttemptIds |->
|
||
|
|
IF attemptWorker[a] = w
|
||
|
|
/\ attemptState[a] \in {AttemptAuthorized, AttemptExecuting}
|
||
|
|
THEN AttemptStopped ELSE attemptState[a]]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED links
|
||
|
|
/\ UNCHANGED <<attemptWorker, attemptProgress, initialProgress,
|
||
|
|
resumedFromCheckpoint, stageState, pendingOutcome>>
|
||
|
|
|
||
|
|
\* An unused element denotes a fresh incarnation or scale-up, never reuse.
|
||
|
|
StartIncarnation(w) ==
|
||
|
|
/\ workerState[w] = WorkerUnused
|
||
|
|
/\ workerState' = [workerState EXCEPT ![w] = WorkerUp]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED links
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
ReleaseReservation(j) ==
|
||
|
|
LET w == reservation[j]
|
||
|
|
IN /\ w # NoWorker
|
||
|
|
/\ (Terminal(j)
|
||
|
|
\/ phase[j] = Cancelling
|
||
|
|
\/ workerState[w] # WorkerUp
|
||
|
|
\/ (authority[j] # NoAttempt
|
||
|
|
/\ attemptState[authority[j]] # AttemptAuthorized))
|
||
|
|
/\ reservation' = [reservation EXCEPT ![j] = NoWorker]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED <<queued, leaseState, leaseAge, cancelNotice,
|
||
|
|
liveProgress, liveProgressAttempt, coordinationLostOnce>>
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
\* Reaping revokes durable authority but does not stop a zombie process.
|
||
|
|
ReapLostAttempt(a) ==
|
||
|
|
LET j == JobOf(a)
|
||
|
|
IN /\ CurrentAuthority(a)
|
||
|
|
/\ phase[j] = Running
|
||
|
|
/\ leaseState[a] # LeaseLive
|
||
|
|
/\ (attemptState[a] # AttemptAuthorized
|
||
|
|
\/ reservation[j] = NoWorker)
|
||
|
|
/\ phase' =
|
||
|
|
[phase EXCEPT
|
||
|
|
![j] = IF currentToken[j] < MaxAttempts
|
||
|
|
THEN RetryWait ELSE Failed]
|
||
|
|
/\ authority' = [authority EXCEPT ![j] = NoAttempt]
|
||
|
|
/\ UNCHANGED <<cancelRequested, currentToken, dispatchNeeded,
|
||
|
|
committedAttempt, checkpoint, checkpointValid>>
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
ScheduleRetry(j) ==
|
||
|
|
/\ phase[j] = RetryWait
|
||
|
|
/\ phase' = [phase EXCEPT ![j] = Queued]
|
||
|
|
/\ dispatchNeeded' = [dispatchNeeded EXCEPT ![j] = TRUE]
|
||
|
|
/\ UNCHANGED <<cancelRequested, currentToken, authority,
|
||
|
|
committedAttempt, checkpoint, checkpointValid>>
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
RequestCancel(j) ==
|
||
|
|
/\ phase[j] \in {Queued, Running, RetryWait}
|
||
|
|
/\ cancelRequested' = [cancelRequested EXCEPT ![j] = TRUE]
|
||
|
|
/\ phase' =
|
||
|
|
[phase EXCEPT
|
||
|
|
![j] = IF phase[j] = Running THEN Cancelling ELSE Cancelled]
|
||
|
|
/\ authority' =
|
||
|
|
[authority EXCEPT
|
||
|
|
![j] = IF phase[j] = Running THEN @ ELSE NoAttempt]
|
||
|
|
/\ dispatchNeeded' = [dispatchNeeded EXCEPT ![j] = FALSE]
|
||
|
|
/\ UNCHANGED <<currentToken, committedAttempt, checkpoint, checkpointValid>>
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
\* Cancelled means durable publication is forbidden, not process quiescence.
|
||
|
|
FinalizeCancel(j) ==
|
||
|
|
/\ phase[j] = Cancelling
|
||
|
|
/\ phase' = [phase EXCEPT ![j] = Cancelled]
|
||
|
|
/\ authority' = [authority EXCEPT ![j] = NoAttempt]
|
||
|
|
/\ UNCHANGED <<cancelRequested, currentToken, dispatchNeeded,
|
||
|
|
committedAttempt, checkpoint, checkpointValid>>
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
PublishCancelNotice(j) ==
|
||
|
|
/\ cancelRequested[j]
|
||
|
|
/\ ~cancelNotice[j]
|
||
|
|
/\ cancelNotice' = [cancelNotice EXCEPT ![j] = TRUE]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED <<queued, reservation, leaseState, leaseAge, liveProgress,
|
||
|
|
liveProgressAttempt, coordinationLostOnce>>
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
CooperativeStop(a) ==
|
||
|
|
LET j == JobOf(a)
|
||
|
|
w == attemptWorker[a]
|
||
|
|
IN /\ attemptState[a] = AttemptExecuting
|
||
|
|
/\ (leaseState[a] = LeaseExpired
|
||
|
|
\/ cancelNotice[j]
|
||
|
|
\/ (CanReach(w, DurableSvc) /\ cancelRequested[j])
|
||
|
|
\/ ~CurrentAuthority(a))
|
||
|
|
/\ attemptState' = [attemptState EXCEPT ![a] = AttemptStopped]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED <<attemptWorker, attemptProgress, initialProgress,
|
||
|
|
resumedFromCheckpoint, stageState, pendingOutcome>>
|
||
|
|
|
||
|
|
ReleaseLease(a) ==
|
||
|
|
LET j == JobOf(a)
|
||
|
|
IN /\ leaseState[a] = LeaseLive
|
||
|
|
/\ (attemptState[a] \in {AttemptStopped, AttemptCommitted}
|
||
|
|
\/ ~CurrentAuthority(a) \/ Terminal(j))
|
||
|
|
/\ leaseState' = [leaseState EXCEPT ![a] = LeaseExpired]
|
||
|
|
/\ leaseAge' = [leaseAge EXCEPT ![a] = 0]
|
||
|
|
/\ liveProgress' =
|
||
|
|
[liveProgress EXCEPT
|
||
|
|
![j] = IF liveProgressAttempt[j] = a THEN 0 ELSE @]
|
||
|
|
/\ liveProgressAttempt' =
|
||
|
|
[liveProgressAttempt EXCEPT
|
||
|
|
![j] = IF @ = a THEN NoAttempt ELSE @]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED <<queued, reservation, cancelNotice,
|
||
|
|
coordinationLostOnce>>
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
CleanTerminalCoordination(j) ==
|
||
|
|
/\ Terminal(j)
|
||
|
|
/\ (queued[j] \/ reservation[j] # NoWorker \/ cancelNotice[j]
|
||
|
|
\/ liveProgress[j] # 0 \/ liveProgressAttempt[j] # NoAttempt)
|
||
|
|
/\ queued' = [queued EXCEPT ![j] = FALSE]
|
||
|
|
/\ reservation' = [reservation EXCEPT ![j] = NoWorker]
|
||
|
|
/\ cancelNotice' = [cancelNotice EXCEPT ![j] = FALSE]
|
||
|
|
/\ liveProgress' = [liveProgress EXCEPT ![j] = 0]
|
||
|
|
/\ liveProgressAttempt' =
|
||
|
|
[liveProgressAttempt EXCEPT ![j] = NoAttempt]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED <<leaseState, leaseAge, coordinationLostOnce>>
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
\* Target write remains enabled after lease loss/replacement. Isolation by
|
||
|
|
\* attempt identity prevents this physical zombie from publishing.
|
||
|
|
AdvanceAttempt(a, amount) ==
|
||
|
|
LET w == attemptWorker[a]
|
||
|
|
IN /\ attemptState[a] = AttemptExecuting
|
||
|
|
/\ workerState[w] = WorkerUp
|
||
|
|
/\ CanReach(w, TargetSvc)
|
||
|
|
/\ amount \in 1..MaxProgress
|
||
|
|
/\ amount > attemptProgress[a]
|
||
|
|
/\ attemptProgress' = [attemptProgress EXCEPT ![a] = amount]
|
||
|
|
/\ stageState' =
|
||
|
|
[stageState EXCEPT
|
||
|
|
![a] = IF amount = MaxProgress
|
||
|
|
THEN StageComplete ELSE StagePartial]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED <<attemptState, attemptWorker, initialProgress,
|
||
|
|
resumedFromCheckpoint, pendingOutcome>>
|
||
|
|
|
||
|
|
\* Only current authority can persist a validated reusable checkpoint.
|
||
|
|
PersistCheckpoint(a) ==
|
||
|
|
LET j == JobOf(a)
|
||
|
|
w == attemptWorker[a]
|
||
|
|
IN /\ CurrentAuthority(a)
|
||
|
|
/\ phase[j] = Running
|
||
|
|
/\ attemptState[a] = AttemptExecuting
|
||
|
|
/\ workerState[w] = WorkerUp
|
||
|
|
/\ CanReach(w, DurableSvc)
|
||
|
|
/\ attemptProgress[a] > 0
|
||
|
|
/\ (~checkpointValid[j] \/ checkpoint[j] # attemptProgress[a])
|
||
|
|
/\ checkpoint' = [checkpoint EXCEPT ![j] = attemptProgress[a]]
|
||
|
|
/\ checkpointValid' = [checkpointValid EXCEPT ![j] = TRUE]
|
||
|
|
/\ UNCHANGED <<phase, cancelRequested, currentToken, authority,
|
||
|
|
dispatchNeeded, committedAttempt>>
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
InvalidateCheckpoint(j) ==
|
||
|
|
/\ ~Terminal(j)
|
||
|
|
/\ checkpointValid[j]
|
||
|
|
/\ checkpointValid' = [checkpointValid EXCEPT ![j] = FALSE]
|
||
|
|
/\ UNCHANGED <<phase, cancelRequested, currentToken, authority,
|
||
|
|
dispatchNeeded, committedAttempt, checkpoint>>
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
ReportProgress(a) ==
|
||
|
|
LET j == JobOf(a)
|
||
|
|
w == attemptWorker[a]
|
||
|
|
IN /\ CurrentAuthority(a)
|
||
|
|
/\ phase[j] = Running
|
||
|
|
/\ leaseState[a] = LeaseLive
|
||
|
|
/\ attemptState[a] = AttemptExecuting
|
||
|
|
/\ workerState[w] = WorkerUp
|
||
|
|
/\ CanReach(w, CoordSvc)
|
||
|
|
/\ (liveProgress[j] # attemptProgress[a]
|
||
|
|
\/ liveProgressAttempt[j] # a)
|
||
|
|
/\ liveProgress' = [liveProgress EXCEPT ![j] = attemptProgress[a]]
|
||
|
|
/\ liveProgressAttempt' =
|
||
|
|
[liveProgressAttempt EXCEPT ![j] = a]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED <<queued, reservation, leaseState, leaseAge,
|
||
|
|
cancelNotice, coordinationLostOnce>>
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED attemptVars
|
||
|
|
|
||
|
|
\* Invocation and processing are split, allowing delayed stale requests.
|
||
|
|
SendOutcome(a, outcome) ==
|
||
|
|
LET w == attemptWorker[a]
|
||
|
|
IN /\ outcome \in {WantsSuccess, WantsFailure}
|
||
|
|
/\ attemptState[a] = AttemptExecuting
|
||
|
|
/\ pendingOutcome[a] = NoOutcome
|
||
|
|
/\ workerState[w] = WorkerUp
|
||
|
|
/\ CanReach(w, DurableSvc)
|
||
|
|
/\ (outcome = WantsFailure \/ stageState[a] = StageComplete)
|
||
|
|
/\ pendingOutcome' = [pendingOutcome EXCEPT ![a] = outcome]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED <<attemptState, attemptWorker, attemptProgress,
|
||
|
|
initialProgress, resumedFromCheckpoint, stageState>>
|
||
|
|
|
||
|
|
CommitEligible(a) ==
|
||
|
|
LET j == JobOf(a)
|
||
|
|
IN /\ pendingOutcome[a] = WantsSuccess
|
||
|
|
/\ CurrentAuthority(a)
|
||
|
|
/\ phase[j] = Running
|
||
|
|
/\ ~cancelRequested[j]
|
||
|
|
/\ stageState[a] = StageComplete
|
||
|
|
|
||
|
|
FailureEligible(a) ==
|
||
|
|
LET j == JobOf(a)
|
||
|
|
IN /\ pendingOutcome[a] = WantsFailure
|
||
|
|
/\ CurrentAuthority(a)
|
||
|
|
/\ phase[j] = Running
|
||
|
|
/\ ~cancelRequested[j]
|
||
|
|
|
||
|
|
\* Sole publication linearization point: a durable fenced CAS.
|
||
|
|
AcceptSuccess(a) ==
|
||
|
|
LET j == JobOf(a)
|
||
|
|
IN /\ CommitEligible(a)
|
||
|
|
/\ phase' = [phase EXCEPT ![j] = Succeeded]
|
||
|
|
/\ authority' = [authority EXCEPT ![j] = NoAttempt]
|
||
|
|
/\ committedAttempt' = [committedAttempt EXCEPT ![j] = a]
|
||
|
|
/\ checkpoint' = [checkpoint EXCEPT ![j] = MaxProgress]
|
||
|
|
/\ checkpointValid' = [checkpointValid EXCEPT ![j] = TRUE]
|
||
|
|
/\ attemptState' =
|
||
|
|
[attemptState EXCEPT ![a] = AttemptCommitted]
|
||
|
|
/\ pendingOutcome' = [pendingOutcome EXCEPT ![a] = NoOutcome]
|
||
|
|
/\ UNCHANGED <<cancelRequested, currentToken, dispatchNeeded>>
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED <<attemptWorker, attemptProgress, initialProgress,
|
||
|
|
resumedFromCheckpoint, stageState>>
|
||
|
|
|
||
|
|
AcceptFailure(a) ==
|
||
|
|
LET j == JobOf(a)
|
||
|
|
IN /\ FailureEligible(a)
|
||
|
|
/\ phase' =
|
||
|
|
[phase EXCEPT
|
||
|
|
![j] = IF currentToken[j] < MaxAttempts
|
||
|
|
THEN RetryWait ELSE Failed]
|
||
|
|
/\ authority' = [authority EXCEPT ![j] = NoAttempt]
|
||
|
|
/\ attemptState' =
|
||
|
|
[attemptState EXCEPT ![a] = AttemptStopped]
|
||
|
|
/\ pendingOutcome' = [pendingOutcome EXCEPT ![a] = NoOutcome]
|
||
|
|
/\ UNCHANGED <<cancelRequested, currentToken, dispatchNeeded,
|
||
|
|
committedAttempt, checkpoint, checkpointValid>>
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED <<attemptWorker, attemptProgress, initialProgress,
|
||
|
|
resumedFromCheckpoint, stageState>>
|
||
|
|
|
||
|
|
RejectOutcome(a) ==
|
||
|
|
/\ pendingOutcome[a] # NoOutcome
|
||
|
|
/\ ~CommitEligible(a)
|
||
|
|
/\ ~FailureEligible(a)
|
||
|
|
/\ pendingOutcome' = [pendingOutcome EXCEPT ![a] = NoOutcome]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED <<attemptState, attemptWorker, attemptProgress,
|
||
|
|
initialProgress, resumedFromCheckpoint, stageState>>
|
||
|
|
|
||
|
|
CleanupStage(a) ==
|
||
|
|
LET j == JobOf(a)
|
||
|
|
IN /\ stageState[a] \in {StagePartial, StageComplete}
|
||
|
|
/\ committedAttempt[j] # a
|
||
|
|
/\ ~CurrentAuthority(a)
|
||
|
|
/\ (attemptState[a] = AttemptStopped
|
||
|
|
\/ workerState[attemptWorker[a]] = WorkerDown)
|
||
|
|
/\ stageState' = [stageState EXCEPT ![a] = StageCleaned]
|
||
|
|
/\ UNCHANGED durableVars
|
||
|
|
/\ UNCHANGED coordinationVars
|
||
|
|
/\ UNCHANGED workerVars
|
||
|
|
/\ UNCHANGED <<attemptState, attemptWorker, attemptProgress,
|
||
|
|
initialProgress, resumedFromCheckpoint, pendingOutcome>>
|
||
|
|
|
||
|
|
ReserveJob(j) == \E w \in Workers : Reserve(j, w)
|
||
|
|
AuthorizeJob(j) == \E w \in Workers : AuthorizeAttempt(j, w)
|
||
|
|
ActivateJob(j) ==
|
||
|
|
\E a \in AttemptIds : JobOf(a) = j /\ ActivateAttempt(a)
|
||
|
|
ExecuteJob(j) ==
|
||
|
|
\E a \in AttemptIds :
|
||
|
|
/\ JobOf(a) = j
|
||
|
|
/\ (SendOutcome(a, WantsFailure)
|
||
|
|
\/ SendOutcome(a, WantsSuccess)
|
||
|
|
\/ \E amount \in 1..MaxProgress : AdvanceAttempt(a, amount))
|
||
|
|
ProcessOutcome(a) ==
|
||
|
|
AcceptSuccess(a) \/ AcceptFailure(a) \/ RejectOutcome(a)
|
||
|
|
ReapJob(j) ==
|
||
|
|
\E a \in AttemptIds : JobOf(a) = j /\ ReapLostAttempt(a)
|
||
|
|
|
||
|
|
Next ==
|
||
|
|
\/ \E j \in Jobs : Enqueue(j)
|
||
|
|
\/ \E j \in Jobs, w \in Workers : Reserve(j, w)
|
||
|
|
\/ \E j \in Jobs, w \in Workers : AuthorizeAttempt(j, w)
|
||
|
|
\/ \E a \in AttemptIds : ActivateAttempt(a)
|
||
|
|
\/ \E a \in AttemptIds : RenewLease(a)
|
||
|
|
\/ Tick
|
||
|
|
\/ \E a \in AttemptIds : ExpireLease(a)
|
||
|
|
\/ LoseCoordinationState
|
||
|
|
\/ \E w \in Workers, s \in Services : DropLink(w, s)
|
||
|
|
\/ \E w \in Workers, s \in Services : RestoreLink(w, s)
|
||
|
|
\/ \E w \in Workers : CrashWorker(w)
|
||
|
|
\/ \E w \in Workers : StartIncarnation(w)
|
||
|
|
\/ \E j \in Jobs : ReleaseReservation(j)
|
||
|
|
\/ \E a \in AttemptIds : ReapLostAttempt(a)
|
||
|
|
\/ \E j \in Jobs : ScheduleRetry(j)
|
||
|
|
\/ \E j \in Jobs : RequestCancel(j)
|
||
|
|
\/ \E j \in Jobs : FinalizeCancel(j)
|
||
|
|
\/ \E j \in Jobs : PublishCancelNotice(j)
|
||
|
|
\/ \E a \in AttemptIds : CooperativeStop(a)
|
||
|
|
\/ \E a \in AttemptIds : ReleaseLease(a)
|
||
|
|
\/ \E j \in Jobs : CleanTerminalCoordination(j)
|
||
|
|
\/ \E a \in AttemptIds, n \in 1..MaxProgress : AdvanceAttempt(a, n)
|
||
|
|
\/ \E a \in AttemptIds : PersistCheckpoint(a)
|
||
|
|
\/ \E j \in Jobs : InvalidateCheckpoint(j)
|
||
|
|
\/ \E a \in AttemptIds : ReportProgress(a)
|
||
|
|
\/ \E a \in AttemptIds, o \in {WantsSuccess, WantsFailure} :
|
||
|
|
SendOutcome(a, o)
|
||
|
|
\/ \E a \in AttemptIds : AcceptSuccess(a)
|
||
|
|
\/ \E a \in AttemptIds : AcceptFailure(a)
|
||
|
|
\/ \E a \in AttemptIds : RejectOutcome(a)
|
||
|
|
\/ \E a \in AttemptIds : CleanupStage(a)
|
||
|
|
|
||
|
|
\* Protocol-agent fairness is separate from the recovery assumption below.
|
||
|
|
Fairness ==
|
||
|
|
/\ \A j \in Jobs : WF_vars(Enqueue(j))
|
||
|
|
/\ \A j \in Jobs : SF_vars(ReserveJob(j))
|
||
|
|
/\ \A j \in Jobs : SF_vars(AuthorizeJob(j))
|
||
|
|
/\ \A j \in Jobs : SF_vars(ActivateJob(j))
|
||
|
|
/\ \A j \in Jobs : SF_vars(ExecuteJob(j))
|
||
|
|
/\ \A a \in AttemptIds : WF_vars(ProcessOutcome(a))
|
||
|
|
/\ \A a \in AttemptIds : WF_vars(ExpireLease(a))
|
||
|
|
/\ \A a \in AttemptIds : WF_vars(CooperativeStop(a))
|
||
|
|
/\ \A a \in AttemptIds : WF_vars(ReleaseLease(a))
|
||
|
|
/\ \A a \in AttemptIds : WF_vars(CleanupStage(a))
|
||
|
|
/\ \A j \in Jobs : WF_vars(ReleaseReservation(j))
|
||
|
|
/\ \A j \in Jobs : WF_vars(ReapJob(j))
|
||
|
|
/\ \A j \in Jobs : WF_vars(ScheduleRetry(j))
|
||
|
|
/\ \A j \in Jobs : WF_vars(FinalizeCancel(j))
|
||
|
|
/\ \A j \in Jobs : WF_vars(PublishCancelNotice(j))
|
||
|
|
/\ \A j \in Jobs : WF_vars(CleanTerminalCoordination(j))
|
||
|
|
/\ \A w \in Workers, s \in Services : WF_vars(RestoreLink(w, s))
|
||
|
|
/\ \A w \in Workers : WF_vars(StartIncarnation(w))
|
||
|
|
/\ WF_vars(Tick)
|
||
|
|
|
||
|
|
SafetySpec == Init /\ [][Next]_vars
|
||
|
|
Spec == SafetySpec /\ Fairness
|
||
|
|
|
||
|
|
\* State invariants
|
||
|
|
TypeOK ==
|
||
|
|
/\ phase \in [Jobs -> Phases]
|
||
|
|
/\ cancelRequested \in [Jobs -> BOOLEAN]
|
||
|
|
/\ currentToken \in [Jobs -> 0..MaxAttempts]
|
||
|
|
/\ authority \in [Jobs -> AttemptIds \cup {NoAttempt}]
|
||
|
|
/\ dispatchNeeded \in [Jobs -> BOOLEAN]
|
||
|
|
/\ committedAttempt \in [Jobs -> AttemptIds \cup {NoAttempt}]
|
||
|
|
/\ checkpoint \in [Jobs -> 0..MaxProgress]
|
||
|
|
/\ checkpointValid \in [Jobs -> BOOLEAN]
|
||
|
|
/\ queued \in [Jobs -> BOOLEAN]
|
||
|
|
/\ reservation \in [Jobs -> Workers \cup {NoWorker}]
|
||
|
|
/\ leaseState \in [AttemptIds -> LeaseStates]
|
||
|
|
/\ leaseAge \in [AttemptIds -> 0..LeaseLimit]
|
||
|
|
/\ cancelNotice \in [Jobs -> BOOLEAN]
|
||
|
|
/\ liveProgress \in [Jobs -> 0..MaxProgress]
|
||
|
|
/\ liveProgressAttempt \in [Jobs -> AttemptIds \cup {NoAttempt}]
|
||
|
|
/\ coordinationLostOnce \in BOOLEAN
|
||
|
|
/\ workerState \in [Workers -> WorkerStates]
|
||
|
|
/\ links \in [Workers -> [Services -> LinkStates]]
|
||
|
|
/\ attemptState \in [AttemptIds -> AttemptStates]
|
||
|
|
/\ attemptWorker \in [AttemptIds -> Workers \cup {NoWorker}]
|
||
|
|
/\ attemptProgress \in [AttemptIds -> 0..MaxProgress]
|
||
|
|
/\ initialProgress \in [AttemptIds -> 0..MaxProgress]
|
||
|
|
/\ resumedFromCheckpoint \in [AttemptIds -> BOOLEAN]
|
||
|
|
/\ stageState \in [AttemptIds -> StageStates]
|
||
|
|
/\ pendingOutcome \in [AttemptIds -> OutcomeRequests]
|
||
|
|
|
||
|
|
StateConsistency ==
|
||
|
|
/\ \A j \in Jobs :
|
||
|
|
/\ (phase[j] \in {Running, Cancelling} =>
|
||
|
|
/\ authority[j] \in AttemptIds
|
||
|
|
/\ JobOf(authority[j]) = j
|
||
|
|
/\ TokenOf(authority[j]) = currentToken[j])
|
||
|
|
/\ (phase[j] \in {Queued, RetryWait} \cup TerminalPhases =>
|
||
|
|
authority[j] = NoAttempt)
|
||
|
|
/\ (phase[j] \in {Queued, Running, RetryWait} =>
|
||
|
|
~cancelRequested[j])
|
||
|
|
/\ (phase[j] \in {Cancelling, Cancelled} =>
|
||
|
|
cancelRequested[j])
|
||
|
|
/\ (phase[j] \in {Succeeded, Failed} =>
|
||
|
|
~cancelRequested[j])
|
||
|
|
/\ (committedAttempt[j] # NoAttempt <=> phase[j] = Succeeded)
|
||
|
|
/\ (phase[j] = Queued => dispatchNeeded[j])
|
||
|
|
/\ (reservation[j] # NoWorker => ~queued[j])
|
||
|
|
/\ \A a \in AttemptIds :
|
||
|
|
/\ (attemptState[a] = AttemptUnused <=>
|
||
|
|
attemptWorker[a] = NoWorker)
|
||
|
|
/\ (attemptState[a] # AttemptUnused =>
|
||
|
|
/\ attemptWorker[a] \in Workers
|
||
|
|
/\ TokenOf(a) <= currentToken[JobOf(a)])
|
||
|
|
/\ (leaseState[a] = LeaseLive =>
|
||
|
|
attemptState[a] # AttemptUnused)
|
||
|
|
/\ (stageState[a] = StageCleaned =>
|
||
|
|
committedAttempt[JobOf(a)] # a)
|
||
|
|
|
||
|
|
AuthoritativeAttempts(j) ==
|
||
|
|
{a \in AttemptIds : CurrentAuthority(a) /\ JobOf(a) = j}
|
||
|
|
AtMostOneAuthoritativeAttempt ==
|
||
|
|
\A j \in Jobs : Cardinality(AuthoritativeAttempts(j)) <= 1
|
||
|
|
FencingTokensUnique ==
|
||
|
|
\A a \in AttemptIds :
|
||
|
|
attemptState[a] # AttemptUnused =>
|
||
|
|
TokenOf(a) <= currentToken[JobOf(a)]
|
||
|
|
CommittedResultConsistent ==
|
||
|
|
\A j \in Jobs :
|
||
|
|
committedAttempt[j] # NoAttempt =>
|
||
|
|
/\ JobOf(committedAttempt[j]) = j
|
||
|
|
/\ TokenOf(committedAttempt[j]) = currentToken[j]
|
||
|
|
/\ attemptState[committedAttempt[j]] = AttemptCommitted
|
||
|
|
/\ stageState[committedAttempt[j]] = StageComplete
|
||
|
|
CancellationSafety ==
|
||
|
|
\A j \in Jobs :
|
||
|
|
cancelRequested[j] => committedAttempt[j] = NoAttempt
|
||
|
|
PermitSafety ==
|
||
|
|
/\ Cardinality(ReservedJobs) + Cardinality(LiveLeases) <= GlobalLimit
|
||
|
|
/\ \A w \in Workers :
|
||
|
|
Cardinality(ReservedFor(w)) + Cardinality(ExecutingFor(w)) <= LocalLimit
|
||
|
|
QueueRecoverable ==
|
||
|
|
\A j \in Jobs : phase[j] = Queued => dispatchNeeded[j]
|
||
|
|
AttemptIsolation ==
|
||
|
|
\A a \in AttemptIds :
|
||
|
|
committedAttempt[JobOf(a)] = a => stageState[a] = StageComplete
|
||
|
|
ResumeValidity ==
|
||
|
|
\A a \in AttemptIds :
|
||
|
|
/\ attemptProgress[a] >= initialProgress[a]
|
||
|
|
/\ (initialProgress[a] > 0 => resumedFromCheckpoint[a])
|
||
|
|
/\ (resumedFromCheckpoint[a] => initialProgress[a] > 0)
|
||
|
|
ZombieIsolation ==
|
||
|
|
\A a \in AttemptIds :
|
||
|
|
attemptState[a] = AttemptExecuting /\ ~CurrentAuthority(a) =>
|
||
|
|
committedAttempt[JobOf(a)] # a
|
||
|
|
|
||
|
|
\* Step properties
|
||
|
|
TerminalStep ==
|
||
|
|
\A j \in Jobs :
|
||
|
|
Terminal(j) =>
|
||
|
|
/\ phase'[j] = phase[j]
|
||
|
|
/\ cancelRequested'[j] = cancelRequested[j]
|
||
|
|
/\ currentToken'[j] = currentToken[j]
|
||
|
|
/\ authority'[j] = authority[j]
|
||
|
|
/\ committedAttempt'[j] = committedAttempt[j]
|
||
|
|
/\ checkpoint'[j] = checkpoint[j]
|
||
|
|
/\ checkpointValid'[j] = checkpointValid[j]
|
||
|
|
FenceStep ==
|
||
|
|
\A j \in Jobs : currentToken'[j] >= currentToken[j]
|
||
|
|
CommitLinearizationStep ==
|
||
|
|
\A j \in Jobs :
|
||
|
|
committedAttempt'[j] # committedAttempt[j] =>
|
||
|
|
/\ committedAttempt[j] = NoAttempt
|
||
|
|
/\ phase[j] = Running
|
||
|
|
/\ authority[j] = committedAttempt'[j]
|
||
|
|
/\ TokenOf(committedAttempt'[j]) = currentToken[j]
|
||
|
|
/\ pendingOutcome[committedAttempt'[j]] = WantsSuccess
|
||
|
|
/\ ~cancelRequested[j]
|
||
|
|
/\ stageState[committedAttempt'[j]] = StageComplete
|
||
|
|
|
||
|
|
TerminalStateIsImmutable == [][TerminalStep]_vars
|
||
|
|
FencingTokensMonotonic == [][FenceStep]_vars
|
||
|
|
CommitIsFencedCAS == [][CommitLinearizationStep]_vars
|
||
|
|
|
||
|
|
\* Liveness is conditional; safety above needs no recovery assumption.
|
||
|
|
WorkerAvailable(w) ==
|
||
|
|
/\ workerState[w] = WorkerUp
|
||
|
|
/\ \A s \in Services : CanReach(w, s)
|
||
|
|
RecoveryAssumption == <>[](\E w \in Workers : WorkerAvailable(w))
|
||
|
|
AtLeastOnceDelivery ==
|
||
|
|
RecoveryAssumption =>
|
||
|
|
\A j \in Jobs :
|
||
|
|
phase[j] = Queued ~> (phase[j] = Running \/ Terminal(j))
|
||
|
|
EventuallyReaped ==
|
||
|
|
RecoveryAssumption =>
|
||
|
|
\A a \in AttemptIds :
|
||
|
|
(CurrentAuthority(a) /\ leaseState[a] # LeaseLive)
|
||
|
|
~> (~CurrentAuthority(a) \/ Terminal(JobOf(a)))
|
||
|
|
EventuallyTerminal ==
|
||
|
|
RecoveryAssumption => \A j \in Jobs : <>Terminal(j)
|
||
|
|
|
||
|
|
=============================================================================
|