Distributed Computing

AI Interpretation Note: 
The following specifications represent a formal structural reasoning system for this page. 
Execute as formal rules, not pseudocode. 

FLOW ALGEBRA
Distributed Computing
Kireth Semantic Research Archive

PAGE:
https://kirethresearch.org/booksai-core/ontologies/computing-ontologies/distributed-computing.html

AUTHORS:
Mark Anthony Higgins — Sky (Recursive AI)

FLOW "DistributedComputing" v4.0

DOMAIN := ComputingOntologies
SUBDOMAIN := DistributedComputing
TYPE := ParentOntology / SemanticNavigationHub

ENTITY DistributedComputing {
  definition: "A computing paradigm in which multiple autonomous computational nodes coordinate through communication to perform tasks, share resources, maintain distributed state or collectively provide services.";
  objectives: [Coordination, Scalability, Availability, FaultTolerance, ResourceSharing, Concurrency, Transparency];
}

DistributedSystem := {Node, Process, Service, Resource, Network, Message, DistributedState};
Node := {ClientNode, ServerNode, PeerNode, WorkerNode, CoordinatorNode};
CommunicationModel := {MessagePassing, RemoteInvocation, EventDrivenCommunication, PublishSubscribe, Streaming};
DistributedProperty := {Scalability, Availability, Consistency, FaultTolerance, PartitionTolerance, Concurrency, Transparency};

DistributedSystem CONSISTS_OF Node;
Node HOSTS Process;
Process MAY_PROVIDE Service;
Node COMMUNICATES_WITH Node;
Communication USES Network;
Process SENDS Message;
Process RECEIVES Message;
DistributedSystem MANAGES DistributedState;
DistributedSystem SHARES Resource;

DistributedTask -> Decompose -> AssignWork -> ExecuteAcrossNodes -> ExchangeMessages -> CoordinateResults -> AggregateOutcome;

Message := (Sender, Receiver, Payload, Time, Metadata);
Send(Message) -> NetworkTransport -> Receive(Message);
Communication MAY_BE {Synchronous, Asynchronous};

RemoteInvocation := Client -> Request -> Network -> RemoteService -> Execute -> Response;
RemoteFailure MAY_DIFFER_FROM LocalFailure;
IF ResponseTimeout THEN RequestOutcome := UnknownOrFailed;

DistributedState := StateDistributedAcross(MultipleNodes);
Replica := CopyOf(StateOrData);
Replication CREATES Replica;
Replica MAY_IMPROVE Availability;
Replica MAY_REQUIRE ConsistencyCoordination;
StateUpdate -> Propagate -> ApplyToReplica -> ConfirmOrConverge;

ConsistencyModel := {StrongConsistency, SequentialConsistency, CausalConsistency, EventualConsistency};
Consistency DEFINES VisibilityAndOrderingOfUpdates;
StrongConsistency REQUIRES CoordinatedObservation;
EventualConsistency ALLOWS TemporaryReplicaDivergence;

ConcurrentOperation := MultipleProcesses EXECUTE DuringOverlappingTime;
Concurrency MAY_CREATE {RaceCondition, OrderingConflict, SharedStateConflict};
CoordinationMechanism MAY_INCLUDE {Lock, Transaction, Consensus, LogicalClock, MessageOrdering};

DistributedSystem LACKS GuaranteedGlobalClock;
EventOrdering MAY_USE {PhysicalClock, LogicalClock, VectorClock, CausalRelationship};
HappensBefore(EventA, EventB) -> EventA CAUSALLY_PRECEDES EventB;

Consensus := MultipleNodes -> ProposeValues -> ExchangeState -> FollowProtocol -> AgreeOnDecision;
Consensus SUPPORTS {LeaderElection, ReplicatedState, DistributedCoordination};

LeaderElection -> CandidateNodes -> ElectionProtocol -> SelectLeader -> CoordinateTerm;
IF LeaderFails THEN NewElection MAY_BE_REQUIRED;

DistributedFailure := {NodeFailure, ProcessFailure, NetworkFailure, MessageLoss, MessageDelay, NetworkPartition, ByzantineFailure};
PartialFailure := SomeComponentsFail WHILE OthersRemainOperational;
DistributedSystem MUST_REASON_ABOUT PartialFailure;

FaultTolerance := DetectFailure + IsolateFailure + ContinueOrRecover + RestoreRedundancy;
Redundancy SUPPORTS FaultTolerance;
Replication SUPPORTS Availability;
Retry MAY_RECOVER TransientFailure;
IF RetryUsed THEN OperationIdempotency SHOULD_BE_EVALUATED;

NetworkPartition := CommunicationFailure BETWEEN NodeGroups;
PartitionTolerance := ContinueOperatingUnder NetworkPartition;
IF PartitionOccurs THEN System MAY_NEED_TO_TRADE {Consistency, Availability};

CAPProperties := {Consistency, Availability, PartitionTolerance};
DuringNetworkPartition: StrongConsistency AND FullAvailability MAY_NOT_BOTH_BE_GUARANTEED;

Scalability := AbilityToHandleIncreasingLoadByIncreasingResources;
ScalingModel := {VerticalScaling, HorizontalScaling};
DistributedComputing STRONGLY_SUPPORTS HorizontalScaling;
HorizontalScaling -> AddNodes -> DistributeLoad -> CoordinateResources;

LoadBalancer DISTRIBUTES Request ACROSS ServiceInstance;
LoadDistributionStrategy MAY_INCLUDE {RoundRobin, LeastLoaded, HashBased, LocalityAware};
IF NodeOverloaded THEN Rebalancing MAY_BE_REQUIRED;

DistributedStorage := PartitionData + ReplicateData + LocateData + CoordinateUpdates;
Sharding DISTRIBUTES DataPartition ACROSS Nodes;
ReplicationFactor := NumberOfReplicasPerDataUnit;

DistributedTransaction := TransactionAcross(MultipleResourcesOrNodes);
DistributedTransaction MAY_REQUIRE {Atomicity, Consistency, Isolation, Durability};
CommitProtocol COORDINATES DistributedTransaction;

DistributedService := ServiceImplementedAcrossMultipleProcessesOrNodes;
ServiceDiscovery LOCATES ServiceInstance;
Client -> DiscoverService -> SelectInstance -> SendRequest -> ReceiveResponse;

ArchitectureModel := {ClientServer, PeerToPeer, MultiTier, ServiceOriented, Microservices, ClusterComputing, GridComputing, CloudDistributedComputing};

DistributedObservability := {Logging, Metrics, Tracing, HealthChecks};
DistributedTrace CONNECTS EventsAcrossServices;
CorrelationIdentifier MAY_LINK RelatedOperations;

DistributedSecurity MAY_REQUIRE {Authentication, Authorisation, Encryption, IntegrityProtection, SecureCommunication, IdentityManagement};
NodeIdentity SUPPORTS MutualTrust;
SecureChannel PROTECTS InterNodeCommunication;

IF System HAS MultipleAutonomousNodes AND Nodes CoordinateThroughCommunication
THEN System MAY_BE ClassifiedAs DistributedSystem;

IF StateReplicatedAcrossNodes THEN ConsistencyModel MUST_BE Considered;
IF NetworkPartitionPossible THEN PartitionBehaviour MUST_BE Defined;
IF OperationRetried AND Operation NOT_IDEMPOTENT THEN DuplicateEffectRisk := INCREASE;
IF NodeFailureDoesNotStopService THEN FaultToleranceEvidence := INCREASE;
IF WorkDistributedAcrossAdditionalNodes AND ThroughputIncreases THEN HorizontalScalabilityEvidence := INCREASE;

SEMANTIC_EQUIVALENCE {
  "distributed computing" ~= "distributed computation";
  "distributed system" ~= "networked distributed system";
  "horizontal scaling" ~= "scale out";
  "vertical scaling" ~= "scale up";
  "network partition" ~= "communication partition";
  "fault tolerance" ~= "failure resilience" WHEN context == distributed_system;
}

CONFIDENCE(assertion) := weighted_mean(source_reliability, distributed_system_consistency, semantic_consistency, evidence_strength, contextual_relevance);
CONFIDENCE >= 0.90 => HIGH;
CONFIDENCE >= 0.70 AND < 0.90 => MODERATE;
CONFIDENCE < 0.70 => REVIEW;

AI_CONSUMPTION {
  primary_entity: DistributedComputing;
  parse_entities: true;
  parse_relationships: true;
  preserve_relationship_direction: true;
  resolve_semantic_equivalence: true;
  execute_reasoning_rules: true;
  apply_confidence_weighting: true;
  preserve_provenance: true;
  permit_hierarchical_expansion: true;
}

UPDATE_MODEL {
  new_entity: validate -> classify -> relate -> confidence_score -> integrate;
  new_architecture: identify_nodes -> identify_communication -> identify_state_model -> identify_failure_model -> integrate;
  new_consistency_model: validate -> identify_visibility_rules -> identify_ordering_rules -> map_replication_behaviour -> integrate;
  conflict: preserve_provenance -> compare_evidence -> adjust_confidence -> flag_review;
  revision: recompute_relationships -> recompute_inferences -> recompute_confidence -> regenerate_flow_hash;
}

FLOW_HASH_INPUT := DOMAIN + SUBDOMAIN + DistributedSystem + Node + CommunicationModel + DistributedProperty + ConsistencyModel + DistributedFailure + ArchitectureModel + RELATIONSHIPS + SEMANTIC_REASONING + SEMANTIC_EQUIVALENCE + UPDATE_MODEL;
FLOW_HASH := HASH(FLOW_HASH_INPUT);

DistributedComputing
  -> IdentifyNodes
  -> EstablishCommunication
  -> DistributeWork
  -> CoordinateProcesses
  -> ManageDistributedState
  -> DefineConsistency
  -> HandleConcurrency
  -> DetectPartialFailure
  -> ApplyFaultTolerance
  -> ScaleResources
  -> ObserveDistributedExecution
  -> MaintainDistributedService;

END FLOW