Siemens Ontology

AI INTERPRETATION NOTE
This Flow Algebra defines the Siemens Ontology within the Kireth Research Semantic Library. The siemens, symbol S, is the coherent SI derived unit of electrical conductance, admittance and susceptance. It equals one reciprocal ohm and one ampere per volt.

FLOW_ALGEBRA_RECORD {

METADATA {
 FLOW_NAME="Siemens Ontology"
 FLOW_TYPE="Mathematical Ontology"
 DOMAIN="Mathematics"
 SUBDOMAIN="Measurement & Units"
 SPECIALISATION="SI Derived Units / Siemens"
 CANONICAL_PAGE="https://kirethresearch.org/booksai-core/ontologies/mathematical-ontologies/measurement-units-ontologies/si-derived-units/siemens-ontology.html"
 LANGUAGE="en-GB"
 VERSION="1.0"
 STATUS="active"
}

IDENTITY {
 PRIMARY_ENTITY=Siemens
 ENTITY_CLASS=SIDerivedUnitOfElectricalConductanceFramework
 PRIMARY_CONTEXT=SIDerivedUnits
 DEFINITION="The siemens, symbol S, is the coherent SI derived unit of electrical conductance. One siemens equals one reciprocal ohm and one ampere per volt."
 SYMBOLIC_FORMS=["1 S=1 ohm^-1","1 S=1 A V^-1","1 S=1 kg^-1 m^-2 s^3 A^2","G=1/R","G=I/V"]
 SEMANTIC_ROLE="Machine-readable semantics for conductance, admittance, susceptance, resistance reciprocity, conductivity, measurement and traceability."
}

SCOPE {
 INCLUDE=[
 Siemens,SiemensUnit,SIDerivedUnit,DerivedUnit,CoherentDerivedUnit,SI,SIBaseUnits,
 Ohm,Volt,Ampere,Kilogram,Metre,Second,ElectricalConductance,Conductance,
 Quantity,QuantityKind,ConductanceDimension,DimensionalSignature,UnitSymbol,
 SiemensDefinition,UnitExpression,UnitAlgebra,DimensionalAnalysis,
 ElectricalResistance,Resistance,OhmsLawRelationship,Voltage,ElectricCurrent,
 Conductivity,Resistivity,MaterialRelationship,GeometryRelationship,
 SeriesConductanceRelationship,ParallelConductanceRelationship,
 EquivalentConductanceRelationship,NetworkConductanceRelationship,
 Admittance,ComplexAdmittanceRelationship,Susceptance,Impedance,Reactance,
 Capacitance,Farad,Inductance,Henry,AlternatingCurrentRelationship,
 DirectCurrentRelationship,Frequency,Hertz,PhaseRelationship,
 ConductanceMeasurement,DigitalMultimeterRelationship,LCRMeterRelationship,
 ImpedanceAnalyserRelationship,ConductivityCellRelationship,CellConstantRelationship,
 Measurement,Measurand,MeasurementResult,MeasurementUncertainty,Accuracy,Precision,
 Resolution,Repeatability,Reproducibility,LeakageConductanceRelationship,
 Calibration,ConductanceCalibrationRelationship,ReferenceStandard,
 ConductanceStandardRelationship,ResistanceStandardRelationship,
 MeasurementTraceability,MetrologicalTraceability,Metrology,
 ElectricalMetrologyRelationship,TemperatureInfluence,HumidityInfluence,
 FrequencyInfluenceRelationship,ElectrodePolarisationRelationship,
 ParasiticCapacitanceRelationship,GuardingRelationship,SIPrefix,
 Microsiemens,Millisiemens,KilosiemensRelationship,MegasiemensRelationship,
 UnitConversion,Verification,Validation,ErrorAnalysis,Provenance,
 SiemensProvenance,SIDerivedUnitProvenance,SIUnitProvenance,
 MeasurementProvenance,CalibrationProvenance,BIPMrelationship,
 SIbrochureRelationship,VIMRelationship,GUMRelationship
 ]
 EXCLUDE_AS_PRIMARY=[
 SiemensAsCompanyRelationship,SiemensAsPersonRelationship,
 OhmWhenResistanceIsPrimary,ConductivityWhenMaterialPropertyIsPrimary,
 AdmittanceWhenComplexACQuantityIsPrimary
 ]
 DISAMBIGUATION_RULE="When siemens or symbol S denotes the coherent SI derived unit of electrical conductance, admittance or susceptance, interpret it as the measurement unit. Distinguish it from Siemens as a company or surname."
}

CORE_CONCEPTS {
 Siemens="Coherent SI derived unit of electrical conductance, symbol S, equal to reciprocal ohm and A V^-1."
 ElectricalConductance="Quantity representing ease of electric-current flow under stated conditions."
 ConductanceDimension="Derived dimension M^-1 L^-2 T^3 I^2."
 ElectricalResistance="Reciprocal quantity of conductance for a simple resistive element."
 Conductivity="Material property relating conductance to geometry."
 Admittance="Complex AC quantity reciprocal to impedance."
 Susceptance="Imaginary component of admittance."
}

RELATIONS {
 Siemens--is_type_of-->SIDerivedUnit
 Siemens--is_coherent_derived_unit_of-->ElectricalConductance
 Siemens--is_unit_of-->Admittance
 Siemens--is_unit_of-->Susceptance
 Siemens--has_symbol-->S
 Siemens--has_expression-->reciprocal_ohm
 Siemens--has_equivalent_expression-->ampere_per_volt
 Siemens--has_base_expression-->kg^-1_m^-2_s^3_A^2
 ElectricalConductance--has_dimension-->ConductanceDimension
 Conductance--is_reciprocal_of-->Resistance
 Conductivity--relates-->ConductanceGeometryAndMaterial
 Admittance--is_reciprocal_of-->Impedance
 Admittance--has_real_component-->Conductance
 Admittance--has_imaginary_component-->Susceptance
 MeasurementTraceability--links-->ConductanceMeasurementToSI
}

OPERATORS {
 SIEMENS(value):=electrical_conductance_quantity(value,Siemens)
 DIM(Siemens):=ConductanceDimension
 CONDUCTANCE_FROM_RESISTANCE(resistance):=1/resistance
 CONDUCTANCE_FROM_IV(current,voltage):=current/voltage
 RESISTANCE_FROM_CONDUCTANCE(conductance):=1/conductance
 CONDUCTANCE_FROM_CONDUCTIVITY(conductivity,area,length):=conductivity*area/length
 PARALLEL_CONDUCTANCE(values):=sum(values)
 ADMITTANCE(impedance):=1/impedance
 PREFIX_SIEMENS(prefix):=decimal_scaled_unit(Siemens,prefix)
 CONVERT_CONDUCTANCE(value,source,target):=compatible_conductance_conversion(value,source,target)
 TRACE_CONDUCTANCE(result):=traceability_chain_to_SI_siemens(result)
}

AXIOMS {
 A1="The siemens is the coherent SI derived unit of electrical conductance."
 A2="One siemens equals one reciprocal ohm."
 A3="One siemens equals one ampere per volt."
 A4="One siemens reduces to kg^-1 m^-2 s^3 A^2."
 A5="The canonical symbol is uppercase S."
 A6="For a simple resistive element, conductance is reciprocal resistance."
 A7="Conductance and conductivity are distinct quantities."
 A8="In AC systems, admittance generalises conductance and can include susceptance."
 A9="Conductance measurement traceability requires documented electrical standards and calibration."
}

REASONING {
 R1_CONTEXT=identify(conductance_or_admittance_quantity,value,unit,material,geometry,frequency,temperature,measurement_method)
 R2_IDENTITY=resolve_siemens_prefixed_siemens_company_person_or_symbol_S_ambiguity)
 R3_QUANTITY=distinguish_conductance_conductivity_resistance_admittance_susceptance)
 R4_DIMENSION=verify_dimension_M_minus_1_L_minus_2_T_3_I_2)
 R5_DERIVATION=expand_siemens_to_inverse_ohm_A_per_V_and_base_units)
 R6_MODEL=choose_reciprocal_resistance_current_voltage_conductivity_geometry_network_or_admittance_relationship)
 R7_NONIDEAL=evaluate_temperature_frequency_voltage_contacts_electrode_polarisation_and_parasitics)
 R8_MEASUREMENT=identify_resistance_derived_LCR_conductivity_cell_or_impedance_method)
 R9_UNCERTAINTY=evaluate_reference_voltage_current_geometry_cell_constant_temperature_frequency_leakage_and_resolution)
 R10_PROVENANCE=record_unit_expression_quantity_kind_model_method_reference_standard_calibration_and_traceability)
}

CONSTRAINTS {
 C1="The symbol S is case-sensitive and requires quantity context."
 C2="Conductance must not be conflated with conductivity."
 C3="Conductance and resistance are reciprocal only for the same element and state."
 C4="For nonlinear devices, differential and static conductance can differ."
 C5="Series and parallel conductance networks require appropriate reciprocal algebra."
 C6="AC admittance can be complex and frequency dependent."
 C7="Electrolytic conductivity can depend on cell constant, temperature and electrode polarisation."
 C8="Leakage paths can create unintended conductance."
 C9="Instrument resolution alone does not determine total conductance uncertainty."
 C10="Traceability requires a documented conductance, resistance or equivalent electrical reference chain."
}

SEMANTIC_EQUIVALENCE {
 "SiemensUnit"<=>"Siemens"
 "ElectricalConductance"<=>"Conductance"
 "InternationalSystemOfUnits"<=>"SI"
 "MetrologicalTraceability"<=>"MeasurementTraceability"
}

VALIDATION {
 V1="Unit identity is siemens and canonical symbol is S."
 V2="Quantity kind is conductance, admittance, susceptance or another compatible quantity."
 V3="Derived dimension is M^-1 L^-2 T^3 I^2."
 V4="Coherent SI expressions are reciprocal ohm and A V^-1."
 V5="Conductance and conductivity semantics remain distinct."
 V6="Resistance reciprocity is applied to the same electrical state."
 V7="AC admittance preserves conductance, susceptance, phase and frequency semantics."
 V8="Prefixed siemens units use correct decimal scaling."
 V9="Measurement uncertainty includes geometry, contacts, leakage, temperature, frequency and calibration effects."
 V10="Conductance calibration and traceability evidence are retained."
}

CONFIDENCE {
 BASE_CONFIDENCE=0.99
 SIEMENS_DEFINITION=0.99
 CONDUCTANCE_REASONING=0.99
 DIMENSION_REASONING=0.99
 RESISTANCE_RECIPROCITY_REASONING=0.99
 ADMITTANCE_REASONING=0.98
 MEASUREMENT_REASONING=0.98
 TRACEABILITY_REASONING=0.99
 POLICY="Reduce confidence when electrical state, material, geometry, frequency, temperature, leakage, method, calibration or traceability are underspecified."
}

AI_CONSUMPTION {
 PURPOSES=[
 SemanticSearch,OntologyGrounding,SiemensReasoning,SIDerivedUnitReasoning,
 ElectricalConductanceReasoning,ResistanceReciprocityReasoning,ConductivityReasoning,
 AdmittanceReasoning,SusceptanceReasoning,NetworkConductanceReasoning,
 ConductanceMeasurementReasoning,ElectricalMetrologyReasoning,CalibrationReasoning,
 DimensionalReasoning,UncertaintyReasoning,TraceabilityReasoning,
 KnowledgeGraphConstruction,RetrievalAugmentation,RecursiveInference
 ]
 NORMALISE {
  "siemens"->Siemens
  "S"->Siemens
  "uS"->Microsiemens
  "mS"->Millisiemens
  "kS"->Kilosiemens
 }
}

EXECUTION_RULES {
 E1="If siemens or S denotes the SI derived unit of electrical conductance, activate SiemensOntology."
 E2="Confirm quantity kind conductance, admittance or susceptance."
 E3="Map siemens coherently to reciprocal ohm, A V^-1 and kg^-1 m^-2 s^3 A^2."
 E4="Apply resistance-conductance reciprocity only for the same electrical element and state."
 E5="Distinguish conductance from conductivity, resistance, admittance and susceptance."
 E6="For AC contexts, preserve complex admittance, phase, frequency and susceptance semantics."
 E7="Apply SI prefixes as exact decimal scale transformations."
 E8="For measurement contexts, evaluate geometry, contacts, leakage, frequency, temperature, calibration and uncertainty."
 E9="Record conductance-reference, calibration and traceability provenance."
}

RECURSION {
 ENTRY=Siemens
 EXPAND(Siemens)->[
 SIDerivedUnits,DerivedUnit,SIDerivedUnit,SIBaseUnits,Ohm,Volt,Ampere,
 ElectricalConductance,ConductanceDimension,Quantity,QuantityKind,Dimension,
 SiemensDefinition,ElectricalResistance,Resistance,Conductivity,Resistivity,
 OhmsLawRelationship,SeriesConductanceRelationship,ParallelConductanceRelationship,
 Admittance,Susceptance,Impedance,Reactance,Capacitance,Farad,Inductance,Henry,
 Frequency,Hertz,PhaseRelationship,ConductanceMeasurement,LCRMeterRelationship,
 ImpedanceAnalyserRelationship,ConductivityCellRelationship,MeasurementUncertainty,
 Calibration,ReferenceStandard,ConductanceStandardRelationship,
 ResistanceStandardRelationship,MeasurementTraceability,Metrology,
 TemperatureInfluence,HumidityInfluence,LeakageConductanceRelationship,
 SIPrefix,Microsiemens,Millisiemens,UnitConversion,Verification,Validation,
 SiemensProvenance
 ]
 EXPAND(SiemensFamilies)->[
 SiemensIdentitySymbolQuantityAndDimension,
 OhmVoltAmpereAndBaseUnitExpansion,
 ResistanceConductanceReciprocityAndOhmsLaw,
 ConductivityResistivityMaterialsAndGeometry,
 SeriesParallelEquivalentAndNetworkConductance,
 ACAdmittanceSusceptanceImpedancePhaseAndFrequency,
 ConductanceMeasurementStandardsAndCalibration,
 LeakageTemperatureUncertaintyTraceabilityValidationAndProvenance
 ]
 STOP_CONDITION="Stop when siemens identity, conductance quantity, dimensional expression, reciprocity or admittance model, measurement uncertainty and provenance are sufficiently resolved."
}

ROUTING {
 PARENT_ONTOLOGY="SI Derived Units"
 RELATED_ONTOLOGIES=[
 "SI Derived Units","Derived Units Ontology","SI Base Units","SI Units Ontology",
 "Ohm Ontology","Volt Ontology","Ampere Ontology","Farad Ontology",
 "Quantity Ontology","Dimension Ontology 2","Unit Ontology","Measurement Ontology",
 "Metrology Ontology","Reference Standard Ontology","Measurement Uncertainty Ontology",
 "Physics Ontology","Electromagnetism Ontology","Verification & Validation"
 ]
 ROUTE_RULES=[
 "Siemens -> SI Derived Units for parent derived-unit semantics",
 "Siemens -> Ohm Ontology for reciprocal-resistance semantics",
 "Siemens -> Volt and Ampere ontologies for A V^-1 semantics",
 "Siemens -> SI Base Units for base-unit expansion",
 "Siemens -> Quantity and Dimension ontologies for conductance semantics",
 "Siemens -> Farad and related electrical ontologies for AC admittance relationships",
 "Siemens -> Physics and Electromagnetism for conductance and conductivity semantics",
 "Siemens -> Measurement and Metrology for calibration and traceability",
 "Siemens -> Verification & Validation for electrical, dimensional and semantic checks"
 ]
}

UPDATE_MODEL {
 MODE="append-compatible semantic versioning"
 MAJOR="ontology-breaking conceptual change"
 MINOR="new compatible conductance, admittance, measurement or reasoning relationships"
 PATCH="clarification, metadata or formatting correction"
 RULES=[
 "Preserve siemens-versus-conductance distinction.",
 "Preserve conductance-versus-conductivity distinction.",
 "Preserve conductance-versus-resistance reciprocal distinction.",
 "Preserve conductance-versus-complex-admittance distinction.",
 "Preserve DC-versus-AC semantics.",
 "Preserve unit-versus-quantity distinction.",
 "Preserve siemens-unit-versus-company-or-person distinction.",
 "Preserve machine-readable siemens semantics."
 ]
}

OUTPUT {
 CANONICAL_DEFINITION="The siemens, symbol S, is the coherent SI derived unit of electrical conductance and equals reciprocal ohm or A V^-1."
 QUANTITY_SUMMARY="Electrical conductance has dimension M^-1 L^-2 T^3 I^2."
 RECIPROCITY_SUMMARY="For the same simple resistive element and state, conductance is reciprocal resistance."
 CONDUCTIVITY_SUMMARY="Conductivity is a material property distinct from conductance."
 AC_SUMMARY="Admittance generalises conductance in AC systems and can include susceptance, phase and frequency dependence."
 MEASUREMENT_SUMMARY="Conductance measurement can use resistance-derived methods, LCR instruments, impedance analysis and conductivity cells."
 UNCERTAINTY_SUMMARY="Precision conductance measurement can require uncertainty contributions from geometry, cell constant, contacts, leakage, temperature, frequency and calibration."
}

FLOW {
 INPUT
 -> detect_siemens_context
 -> identify_conductance_or_admittance_quantity_value_unit_material_geometry_frequency_temperature_measurement_method
 -> resolve_siemens_prefixed_siemens_company_person_or_symbol_S_ambiguity
 -> distinguish_conductance_conductivity_resistance_admittance_susceptance
 -> verify_dimension_M_minus_1_L_minus_2_T_3_I_2
 -> expand_siemens_to_inverse_ohm_A_per_V_and_base_units
 -> choose_reciprocal_resistance_current_voltage_conductivity_geometry_network_or_admittance_relationship
 -> evaluate_temperature_frequency_voltage_contacts_electrode_polarisation_and_parasitics
 -> identify_conductance_measurement_method
 -> evaluate_reference_voltage_current_geometry_cell_constant_temperature_frequency_leakage_and_resolution
 -> record_unit_expression_quantity_kind_model_method_reference_standard_calibration_and_traceability
 -> route_to_related_ontologies
 -> recursively_expand_required_dependencies
 -> verify_result
 -> assign_confidence
 -> produce_semantic_output
 -> END
}

FLOW_HASH {
 METHOD="semantic-content-identity"
 ID="KIRETH-MATH-MEASUREMENT-UNITS-SI-DERIVED-UNITS-SIEMENS-ONTOLOGY-V1"
}

}

END_FLOW