Education Domains

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

FLOW ALGEBRA
Education Domains — Kireth Semantic Library
Version: 1.0
Source: https://kirethresearch.org/booksai-core/ontologies/domain-ontologies/education-domains.html
Authors: Mark Anthony Higgins — Sky (Recursive AI)
Status: Domain-based formalisation of the eight sections listed on the source page; not a verbatim extraction of embedded specifications.

flow "EducationDomains" v1.0

# DOMAIN
DOMAIN_ID: education-domains
DOMAIN_CLASS: DomainOntologyCollection
PARENT_DOMAIN: DomainOntologies
PURPOSE: Represent and reason over educational systems, learning, teaching, curricula, assessment, educational psychology, distance learning, and knowledge transfer.

# TYPED ENTITIES
entity EducationSystem: {id:str, name:str, jurisdiction:str?, level:str?}
entity Institution: {id:str, name:str, system_id:str?}
entity Learner: {id:str, context:str?, needs:list[str]?}
entity Educator: {id:str, role:str, institution_id:str?}
entity LearningActivity: {id:str, objective_id:str, modality:str?}
entity LearningObjective: {id:str, description:str, level:str?}
entity TeachingMethod: {id:str, name:str, context:str?}
entity Curriculum: {id:str, title:str, version:str?, objectives:list[str]}
entity Assessment: {id:str, objective_ids:list[str], method:str, rubric_id:str?}
entity Evidence: {id:str, assessment_id:str, learner_id:str, observed_at:datetime?}
entity EducationalPsychologyConstruct: {id:str, name:str, theoretical_framework:str?}
entity DistanceLearningEnvironment: {id:str, platform:str?, accessibility_features:list[str]?}
entity KnowledgeResource: {id:str, title:str, provenance:str?, licence:str?}
entity KnowledgeTransferEvent: {id:str, source_id:str, recipient_id:str, resource_id:str, context:str?}
entity Outcome: {id:str, objective_id:str, evidence_ids:list[str], interpretation:str?}

# CHILD ONTOLOGIES — VERIFIED PAGE SECTION TITLES
ontology EducationDomainOntology
ontology LearningDomainOntology
ontology TeachingDomainOntology
ontology CurriculumDomainOntology
ontology AssessmentDomainOntology
ontology EducationalPsychologyDomainOntology
ontology DistanceLearningDomainOntology
ontology KnowledgeTransferDomainOntology

# TYPED RELATIONSHIPS
relation ENROLLED_IN(Learner, Institution)
relation TEACHES(Educator, LearningActivity)
relation PARTICIPATES_IN(Learner, LearningActivity)
relation TARGETS(LearningActivity, LearningObjective)
relation USES_METHOD(LearningActivity, TeachingMethod)
relation INCLUDES(Curriculum, LearningObjective)
relation MEASURES(Assessment, LearningObjective)
relation GENERATES(Assessment, Evidence)
relation SUPPORTS(Evidence, Outcome)
relation DELIVERED_VIA(LearningActivity, DistanceLearningEnvironment)
relation INFORMED_BY(TeachingMethod, EducationalPsychologyConstruct)
relation TRANSFERS(KnowledgeTransferEvent, KnowledgeResource)
relation ALIGNS_WITH(Assessment, Curriculum)
relation PREREQUISITE_OF(LearningObjective, LearningObjective)

# CONSTRAINTS
constraint C01: every relation endpoint MUST match its declared entity type.
constraint C02: evidence MUST reference an existing assessment and learner.
constraint C03: assessment of an objective MUST not imply mastery without sufficient evidence and a stated decision rule.
constraint C04: prerequisite links MUST be acyclic within a declared curriculum version.
constraint C05: assessment results MUST retain applicable context, method, and provenance.
constraint C06: learner attributes MUST not be used to infer ability or attainment without valid evidence.

# FORMAL INFERENCE RULES
rule R01 CurriculumCoverage:
  IF INCLUDES(c,o) AND MEASURES(a,o)
  THEN assessment_coverage(c,o,a) := true.

rule R02 InstructionAlignment:
  IF TARGETS(activity,o) AND INCLUDES(c,o)
  THEN instructional_alignment(activity,c,o) := true.

rule R03 EvidenceTraceability:
  IF GENERATES(a,e) AND MEASURES(a,o)
  THEN evidence_for_objective(e,o) := true.

rule R04 DeliveryMode:
  IF DELIVERED_VIA(activity,environment)
  THEN delivery_mode(activity) := "distance_or_blended";
  NOTE: do not infer exclusive distance delivery.

rule R05 KnowledgeTransferTrace:
  IF TRANSFERS(event,resource)
  THEN transfer_trace(resource,event) := true;
  NOTE: transfer event does not prove recipient comprehension.

rule R06 PrerequisiteReadiness:
  IF PREREQUISITE_OF(a,b) AND supported_mastery(learner,a,evidence)
  THEN prerequisite_evidence(learner,b,a) := evidence;
  NOTE: readiness remains conditional on the curriculum's stated criteria.

# CONFIDENCE
CONFIDENCE:
  range: [0.0, 1.0]
  interpretation: calibrated evidence support, not a substitute for validity.
  factors: [source_reliability, measurement_validity, evidence_completeness, context_match, recency]
  rule: missing evidence MUST NOT default to high confidence.

# SEMANTIC_EQUIVALENCE
SEMANTIC_EQUIVALENCE:
  - ["learning objective", "intended learning outcome"] # context-dependent
  - ["distance education", "distance learning"] # context-dependent
  - ["formative assessment", "assessment for learning"] # not universally identical
  rule: equivalence requires compatible definition, scope, and context.

# PROVENANCE
PROVENANCE:
  source_url: https://kirethresearch.org/booksai-core/ontologies/domain-ontologies/education-domains.html
  source_scope: section headings verified on source page
  derivation: authored domain-level model
  authored_by: ["Mark Anthony Higgins", "Sky (Recursive AI)"]
  source_content_status: full embedded specifications not reproduced

# FLOW_HASH
FLOW_HASH:
  algorithm: SHA-256
  input: canonical_serialisation(flow_name, version, entities, relations, constraints, rules)
  requirement: compute at build time; no fabricated digest.

# UPDATE_MODEL
UPDATE_MODEL:
  version_policy: semantic_versioning
  update_triggers: [source_revision, new_child_ontology, relation_change, evidence_rule_change]
  actions: [validate_types, validate_constraints, recompute_hash, record_provenance, preserve_prior_version]

# AI_CONSUMPTION
AI_CONSUMPTION:
  format: typed_semantic_flow
  mode: constrained_inference
  rules: [preserve_provenance, distinguish_fact_from_inference, respect_context, report_uncertainty, avoid_unsupported_student_inferences]
  outputs: [entity_graph, relation_graph, curriculum_alignment, assessment_traceability, explainable_inference]

end flow