FLOW ALGEBRA
Ontology: Semantic Execution Metadata Ontology
Domain: Metadata Ontologies > AI Semantic Library Metadata
Canonical URL: https://kirethresearch.org/booksai-core/ontologies/metadata-ontologies/ai-semantic-library-metadata/semantic-execution-metadata-ontology.html
Authors: Mark Anthony Higgins — Sky (Recursive AI)
flow "SemanticExecutionMetadataOntology" v1.0
# ---------- DOMAIN ----------
domain:
class: MetadataOntology
category: AISemanticLibraryMetadata
subject: SemanticExecutionMetadata
purpose:
- represent execution of semantic rules, Flow Algebra, ontology operations, queries, inference, transformations, and validation
- preserve execution identity, executable resource, version, inputs, parameters, rule order, states, outputs, confidence, errors, validation, and provenance
- support deterministic execution, replay, auditing, debugging, recursive reasoning, dependency resolution, and machine interoperability
- distinguish execution success from semantic validity and factual correctness
# ---------- CORE ----------
entity SemanticExecutionMetadata:
type: SemanticLibraryMetadata
describes: SemanticExecution
may_include:
- execution_identifier
- executable_identifier
- executable_type
- executable_version
- ontology_identifier
- execution_mode
- inputs
- parameters
- dependencies
- start_time
- end_time
- execution_state
- executed_rules
- execution_trace
- intermediate_states
- outputs
- validation
- confidence
- errors
- warnings
- determinism
- provenance
entity SemanticExecution:
type: MachineExecution
entity SemanticExecutionIdentifier:
type: PersistentIdentifier
identifies: SemanticExecution
relationships:
SemanticExecutionMetadata -> DESCRIBES -> SemanticExecution
SemanticExecution -> IDENTIFIED_BY -> SemanticExecutionIdentifier
SemanticExecution -> EXECUTES -> SemanticExecutable
SemanticExecution -> USES_VERSION -> SemanticExecutableVersion
SemanticExecution -> MAY_USE_INPUT -> SemanticExecutionInput
SemanticExecution -> MAY_USE_PARAMETER -> SemanticExecutionParameter
SemanticExecution -> MAY_USE_DEPENDENCY -> SemanticExecutionDependency
SemanticExecution -> EXECUTES_RULE -> SemanticExecutionRule
SemanticExecution -> MAY_CREATE -> SemanticExecutionState
SemanticExecution -> PRODUCES -> SemanticExecutionOutput
SemanticExecution -> MAY_HAVE_VALIDATION -> SemanticExecutionValidation
SemanticExecution -> MAY_HAVE_TRACE -> SemanticExecutionTrace
SemanticExecutionMetadata -> MAY_HAVE_PROVENANCE -> SemanticExecutionProvenance
# ---------- IDENTITY / EXECUTABLE ----------
rule execution_identity:
execution identity != executable resource identity
rule repeated_execution:
repeated execution of same executable MAY have distinct execution identifiers
entity SemanticExecutable:
type: ExecutableSemanticResource
may_be:
- FlowAlgebra
- SemanticRuleSet
- QueryModel
- InferenceModel
- TransformationModel
- ValidationModel
- RecursiveSemanticProcess
- OntologyOperation
rule executable:
execution metadata SHOULD preserve executable identifier and version
rule executable_version:
different executable version MAY produce different semantic behaviour
# ---------- INPUT / PARAMETERS / DEPENDENCIES ----------
entity SemanticExecutionInput:
type: InputMetadata
may_include:
- input_identifier
- input_name
- datatype
- value_reference
- semantic_role
- source
- validity
- provenance
entity SemanticExecutionParameter:
type: ParameterMetadata
may_include:
- parameter_identifier
- name
- datatype
- value
- source
- scope
entity SemanticExecutionDependency:
type: DependencyMetadata
may_include:
- dependency_identifier
- dependency_type
- required_version
- resolved_version
- compatibility_state
- validity_state
rule dependency:
dependencies SHOULD be resolved and validated
before dependent semantic execution
rule latest:
latest dependency version != automatically compatible dependency version
# ---------- EXECUTION STATE ----------
execution_states:
- pending
- validating
- running
- paused
- completed
- partially_completed
- rejected
- failed
- cancelled
- indeterminate
- unknown
rule completed:
completed execution != semantically valid execution
without required validation
# ---------- RULE EXECUTION / STATES ----------
entity SemanticExecutionRule:
type: SemanticRule
may_include:
- rule_identifier
- rule_version
- execution_order
- preconditions
- result
- confidence
- duration
rule rule_order:
execution order MUST be preserved
where rule semantics depend on ordering
rule skipped_rule:
non-executed rule != failed rule
entity SemanticExecutionState:
type: StateMetadata
may_include:
- state_identifier
- sequence
- entities
- relationships
- values
- confidence
- validation_state
- timestamp
rule intermediate_state:
intermediate semantic state != final output
entity SemanticStateTransition:
type: TransitionMetadata
may_include:
- previous_state
- next_state
- triggering_rule
- condition
- transition_time
- confidence
# ---------- OUTPUT / VALIDATION ----------
entity SemanticExecutionOutput:
type: OutputMetadata
may_include:
- output_identifier
- output_type
- value_reference
- semantic_status
- confidence
- provenance
- validation_state
rule output_truth:
generated output != externally verified factual truth
entity SemanticExecutionValidation:
type: ValidationMetadata
may_include:
- input_validation
- dependency_validation
- structural_validation
- semantic_validation
- relationship_validation
- output_validation
- provenance_validation
- confidence_validation
- result
rule validation:
execution success != validation success
rule semantic_validation:
semantic validation != external factual verification
# ---------- TRACE / DETERMINISM ----------
entity SemanticExecutionTrace:
type: ProvenanceMetadata
may_include:
- execution_identifier
- executed_rules
- rule_order
- inputs
- parameters
- dependencies
- intermediate_states
- state_transitions
- outputs
- errors
- warnings
rule trace:
execution trace SHOULD preserve sufficient state
for audit or replay according_to policy
entity SemanticExecutionDeterminism:
type: QualityMetadata
may_include:
- deterministic_state
- deterministic_inputs
- nondeterministic_inputs
- random_seed
- temporal_dependencies
- external_dependencies
rule determinism:
deterministic executable MAY produce different results
when inputs, dependencies, time, or external state differ
# ---------- SPECIAL EXECUTIONS ----------
entity RecursiveSemanticExecution:
subtype_of: SemanticExecution
may_include:
- recursion_identifier
- recursion_depth
- maximum_depth
- visited_state
- cycle_state
- stopping_condition
- pruning_state
rule recursion:
recursive execution MUST preserve visited state
and stopping or cycle-control behaviour
rule recursion_depth:
deeper recursion != higher confidence
entity SemanticQueryExecution:
subtype_of: SemanticExecution
rule query:
retrieved result != verified factual answer
entity SemanticInferenceExecution:
subtype_of: SemanticExecution
rule inference:
inferred conclusion MUST remain distinguishable
from explicit assertion
entity SemanticTransformationExecution:
subtype_of: SemanticExecution
rule transformation:
transformed representation != original representation
entity FlowAlgebraExecution:
subtype_of: SemanticExecution
may_include:
- flow_identifier
- flow_version
- flow_hash
- executed_rules
- output_contract
rule flow_hash:
execution SHOULD preserve FlowHash
associated with executed canonical flow state
# ---------- ERRORS / CONFIDENCE / PROVENANCE ----------
entity SemanticExecutionError:
type: ErrorMetadata
entity SemanticExecutionWarning:
type: WarningMetadata
rule warning:
warning != execution failure
entity SemanticExecutionConfidence:
type: EpistemicMetadata
range: [0.0, 1.0]
may_include:
- input_confidence
- rule_confidence
- dependency_confidence
- output_confidence
- confidence_method
rule confidence_bounds:
REQUIRE 0.0 <= confidence <= 1.0
rule confidence_inflation:
successful execution MUST NOT automatically increase confidence
entity SemanticExecutionProvenance:
type: ProvenanceMetadata
may_include:
- execution_identifier
- executable_identifier
- executable_version
- ontology_identifier
- inputs
- parameters
- dependencies
- executed_rules
- state_transitions
- validation_events
- outputs
- errors
- warnings
rule provenance:
semantic execution SHOULD preserve sufficient lineage
to explain how outputs were produced
# ---------- VALIDATION CONTRACT ----------
validation:
require:
- execution_identifier
- executable_identifier_or_type
- execution_state
reject:
- execution_identity_presented_as executable_identity
- completed_execution_presented_as semantically_valid_without validation
- semantic_validation_presented_as external_factual_verification
- generated_output_presented_as verified_truth_without evidence
- latest_dependency_presented_as automatically_compatible
- skipped_rule_presented_as failed_rule
- intermediate_state_presented_as final_output
- recursive_depth_presented_as confidence
- warning_presented_as execution_failure
- inferred_conclusion_presented_as explicit_assertion
# ---------- SEMANTIC EQUIVALENCE ----------
SEMANTIC_EQUIVALENCE:
"semantic execution metadata" ~= "metadata describing execution of semantic resources and rules"
"semantic execution" ~= "machine execution of semantic rules, queries, inference, transformations, or Flow Algebra"
"execution trace" ~= "ordered record of semantic execution states, rules, and transitions"
"semantic execution validation" ~= "validation of execution inputs, structure, semantics, dependencies, and outputs"
"Flow Algebra execution" ~= "execution of an identified and versioned Flow Algebra resource"
PRESERVE distinctions:
execution_identity != executable_identity
execution_success != semantic_validity
semantic_validity != factual_truth
generated_output != externally_verified_fact
intermediate_state != final_output
skipped_rule != failed_rule
deterministic_logic != identical_output_under_different_inputs
recursion_depth != confidence
query_result != verified_answer
inferred_conclusion != explicit_assertion
warning != failure
latest_dependency != compatible_dependency
# ---------- CONFIDENCE ----------
CONFIDENCE:
explicit_semantic_execution_metadata:
score: 1.00
validated_execution_trace:
score: 0.99
validated_executable_version:
score: 0.99
validated_dependencies:
score: 0.98
deterministic_replay_with_equivalent_state:
score: 0.99
incomplete_execution_trace:
score: <= 0.75
unknown_dependency_state:
score: <= 0.65
output_without_semantic_validation:
score: <= 0.70
incomplete_execution_provenance:
score: <= 0.55
action: preserve uncertainty
# ---------- UPDATE MODEL ----------
UPDATE_MODEL:
on_execution_start:
- assign SemanticExecutionIdentifier
- resolve executable identifier and version
- resolve inputs and runtime parameters
- resolve dependencies
- validate preconditions
- initialise execution trace and provenance
on_rule_execution:
- preserve rule identifier and order
- evaluate preconditions
- execute applicable semantic rule
- preserve intermediate state
- record confidence and state transition
- update trace
on_recursive_execution:
- preserve recursion depth and visited state
- evaluate stopping and cycle conditions
- expand valid recursive state
- prune or terminate according_to policy
- update provenance
on_execution_completion:
- collect final outputs
- validate output contract
- validate semantic state
- calculate output confidence
- finalise execution trace
- record completion state
# ---------- FLOW HASH ----------
FLOW_HASH:
inputs:
- ontology
- execution_entities
- relationships
- execution_states
- rule_execution
- validation
- confidence_model
- dependency_rules
- recursion_rules
- update_model
canonicalisation:
- preserve_execution_identifier
- preserve_executable_identifier_and_version
- preserve_input_semantics
- preserve_runtime_parameters
- preserve_dependency_versions
- preserve_rule_order
- preserve_state_transitions
- preserve_validation_state
- preserve_confidence_lineage
- preserve_provenance
output:
deterministic_semantic_hash
# ---------- AI CONSUMPTION ----------
AI_CONSUMPTION:
interpret_as:
- AI Semantic Library metadata ontology
- semantic execution lifecycle and trace model
- Flow Algebra, query, inference, transformation, and recursive execution structure
- deterministic, confidence-aware and provenance-aware execution model
operations:
- identify semantic executions
- resolve executable identity and version
- inspect inputs, parameters, and dependencies
- inspect execution state
- preserve rule order
- traverse intermediate states and transitions
- inspect semantic validation
- distinguish execution success from semantic validity
- inspect recursive execution state
- evaluate confidence lineage
- inspect errors and warnings
- trace provenance
- preserve uncertainty
constraints:
- do_not_equate_execution_identity_with executable_identity
- do_not_equate_execution_success_with semantic_validity
- do_not_equate_semantic_validity_with factual_truth
- do_not_equate_generated_output_with externally_verified_fact
- do_not_equate_intermediate_state_with final_output
- do_not_equate_skipped_rule_with failed_rule
- do_not_equate_recursion_depth_with confidence
- do_not_equate_query_result_with verified_answer
- do_not_equate_inference_with explicit_assertion
- preserve_execution_version_inputs_dependencies_rule_order_validation_confidence_and_provenance
# ---------- QUERY MODEL ----------
query:
input:
- execution_identifier
- executable_identifier
- executable_type
- executable_version
- execution_state
- rule_identifier
- output_identifier
- execution_time
resolve:
1. identify SemanticExecution
2. resolve executable identity, type, and version
3. inspect inputs, parameters, and dependencies
4. inspect execution mode and state
5. traverse executed rules and intermediate states
6. inspect state transitions and execution trace
7. inspect outputs and validation state
8. inspect confidence, errors, and warnings
9. trace provenance and validity
10. return semantic execution interpretation
# ---------- INFERENCE ----------
inference:
IF executable, inputs, parameters, and dependencies validate
THEN infer executable_execution_candidate
IF execution completes
BUT semantic validation fails
THEN do_not infer semantically valid output
IF recursive execution encounters repeated state
THEN apply cycle policy
AND enforce stopping condition
IF output is inferred
THEN preserve inference status, confidence, and provenance
# ---------- OUTPUT CONTRACT ----------
output:
ontology_entity: SemanticExecutionMetadata
execution_identity: machine_interpretable
executable_identity_and_version: explicit
inputs_parameters_dependencies: traceable
execution_state: explicit
rule_order: preserved
intermediate_states: traversable
state_transitions: explicit
outputs: validation_aware
semantic_validity: execution_success_distinct
confidence: lineage_aware
errors_and_warnings: distinguishable
recursion: cycle_safe
provenance: preserved
uncertainty: explicit
AI_reasoning: enabled
end flow
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