The Atlas · The Architecture · Foundational Survey Fabric

Requirements Traceability Matrix

Findings #1–#85 · Adopted FSF-SPEC-1.0 Architecture

This matrix traces every audited Requirement to its downstream Specification section(s), Conformance section(s), and Reference Vector category/categories. It distinguishes what the current audited downstream Requirements Basis sections explicitly cite from traceability assignments that are architecturally supported but not yet explicit in those basis citations.

Current standing: FSF-SPEC-1.0 is canonically adopted, and the matrix remains the audit bridge from Requirements into Specification, Conformance, and Reference Vectors. The row-level E / D / N/A markings remain documentation-traceability findings from the last explicit basis-citation audit; they are not silently promoted merely because the governing Specification is now adopted. Reference Vector subsection reverse traceability remains closed, while any remaining Specification or Conformance basis-citation cleanup must be handled as documentation reconciliation rather than as a reopening of adopted mathematics.

Traceability rule: Every Requirement must have a downstream home. Every downstream obligation must be traceable back to an authoritative Requirement. A missing citation is a documentation-level traceability gap until proved otherwise—not automatically an architectural defect.
85Audited Findings
28Fully Explicit in Last Basis-Citation Audit
55Rows Flagged for Documentation Basis Update
2Specification N/A by Design
Architectural standing. The traceability counts above are preserved from the last explicit basis-citation audit and should not be read as evidence that FSF mathematics remain provisional. FSF-SPEC-1.0 is canonically adopted. This matrix continues to distinguish architectural satisfaction from documentary explicitness.
E Explicitly named/ranged in the current audited downstream page's Requirements Basis. D Derived traceability assignment; supported by the audited requirement and downstream section scope, but not yet explicitly cited there. N/A Intentionally outside that downstream framework.
Finding Requirement Specification section(s) Conformance section(s) Reference Vector category/categories Traceability status
#1
Minimum Permanent Spatial Content
I · Foundational Purpose and Scope
S01 Survey Domain & Ground Model D; S07 Computability Rules D C02 Mandatory Core D; C10 Conformance Report & Declaration D V12 Pathological Edge Cases D Basis update needed
#2
Survey Units Are Not Parcels
I · Foundational Purpose and Scope
S01 Survey Domain & Ground Model D; S04 Spatial Expressions & Geometry D C02 Mandatory Core D; C09 Failure Conditions D V05 Geometry Vectors D; V12 Pathological Edge Cases D Basis update needed
#3
Immutability Protects Spatial Identity
I · Foundational Purpose and Scope
S03 Canonical Addressing & Precision D; S06 Serialization & Specification Identity D C02 Mandatory Core D; C07 Version Compatibility D V11 Version / Conformance Vectors D; V12 Pathological Edge Cases D Basis update needed
#4
Higher-Layer Functions Remain Outside the Survey Fabric
I · Foundational Purpose and Scope
S01 Survey Domain & Ground Model D; S04 Spatial Expressions & Geometry D C02 Mandatory Core D; C09 Failure Conditions D V12 Pathological Edge Cases D Basis update needed
#5
Extension Over Mutation
I · Foundational Purpose and Scope
S03 Canonical Addressing & Precision D; S06 Serialization & Specification Identity D C07 Version Compatibility D; C09 Failure Conditions D V11 Version / Conformance Vectors D; V12 Pathological Edge Cases D Basis update needed
#6
Preserve Unknown Future Use
I · Foundational Purpose and Scope
S01 Survey Domain & Ground Model D; S04 Spatial Expressions & Geometry D C01 Conformance Classes D; C10 Conformance Report & Declaration D V11 Version / Conformance Vectors D; V12 Pathological Edge Cases D Basis update needed
#7
Universal Addressability Within the Survey Domain
II · Addressability, Canonical Meaning, and Refinement
S03 Canonical Addressing & Precision E C02 Mandatory Core D; C04 Validation Behavior D V01 Addressing Vectors E; V09 Invalid-Input Vectors E Basis update needed
#8
Permanent Canonical Address Meaning
II · Addressability, Canonical Meaning, and Refinement
S03 Canonical Addressing & Precision E C02 Mandatory Core D; C03 Canonical Result Equivalence D; C07 Version Compatibility D V01 Addressing Vectors E; V06 Normalization Vectors E; V09 Invalid-Input Vectors E Basis update needed
#9
Precision by Extension
II · Addressability, Canonical Meaning, and Refinement
S03 Canonical Addressing & Precision E C02 Mandatory Core D; C05 Exactness Requirements D; C07 Version Compatibility D V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E Basis update needed
#10
Independent Implementations, Identical Results
II · Addressability, Canonical Meaning, and Refinement
S07 Computability Rules D C01 Conformance Classes E; C03 Canonical Result Equivalence E; C08 Independent Implementation Requirement E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V05 Geometry Vectors E; V06 Normalization Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Basis update needed
#11
The Survey Fabric Knows Space, Not the Things in Space
II · Addressability, Canonical Meaning, and Refinement
S04 Spatial Expressions & Geometry D C02 Mandatory Core D; C09 Failure Conditions D V05 Geometry Vectors D; V12 Pathological Edge Cases D Basis update needed
#12
Derived Spatial Relationships
II · Addressability, Canonical Meaning, and Refinement
S04 Spatial Expressions & Geometry D; S05 Canonical Operations D C03 Canonical Result Equivalence D; C05 Exactness Requirements D V05 Geometry Vectors D Basis update needed
#13
Survey Domain Need Not Match World Form
II · Addressability, Canonical Meaning, and Refinement
S01 Survey Domain & Ground Model D C02 Mandatory Core D; C04 Validation Behavior D; C09 Failure Conditions D V02 Domain-Boundary Vectors E Basis update needed
#14
Specification Over Materialization
II · Addressability, Canonical Meaning, and Refinement
S03 Canonical Addressing & Precision D; S07 Computability Rules D C08 Independent Implementation Requirement E V01 Addressing Vectors D; V08 Precision Vectors D; V12 Pathological Edge Cases D Basis update needed
#15
One Foundational Reference, Many Derived Views
II · Addressability, Canonical Meaning, and Refinement
S02 Canonical Frame & Measurement D; S04 Spatial Expressions & Geometry D C03 Canonical Result Equivalence D; C05 Exactness Requirements D V07 Transformation Vectors E Basis update needed
#16
Canonical Authority Is Governed Above the Mathematics
II · Addressability, Canonical Meaning, and Refinement
S06 Serialization & Specification Identity D C07 Version Compatibility E; C10 Conformance Report & Declaration E V11 Version / Conformance Vectors E Basis update needed
#17
Specification Evolution Without Spatial Mutation
II · Addressability, Canonical Meaning, and Refinement
S06 Serialization & Specification Identity D C07 Version Compatibility E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V11 Version / Conformance Vectors E Basis update needed
#18
Cells Are Not Foundational Objects by Default
III · Ontology and Structural Neutrality
S01 Survey Domain & Ground Model E C02 Mandatory Core D; C09 Failure Conditions D V02 Domain-Boundary Vectors D; V12 Pathological Edge Cases D Basis update needed
#19
Finite Canonical Survey Domain
III · Ontology and Structural Neutrality
S01 Survey Domain & Ground Model E C02 Mandatory Core D; C04 Validation Behavior D; C05 Exactness Requirements D V02 Domain-Boundary Vectors E Basis update needed
#20
Extensible Precision
III · Ontology and Structural Neutrality
S03 Canonical Addressing & Precision E C02 Mandatory Core D; C05 Exactness Requirements D V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E Basis update needed
#21
Self-Resolving Canonical Addresses
III · Ontology and Structural Neutrality
S03 Canonical Addressing & Precision E C02 Mandatory Core D; C04 Validation Behavior D V01 Addressing Vectors E; V06 Normalization Vectors E; V09 Invalid-Input Vectors E Basis update needed
#22
Canonical References Are Never Reused
III · Ontology and Structural Neutrality
S03 Canonical Addressing & Precision E C07 Version Compatibility E V01 Addressing Vectors E; V09 Invalid-Input Vectors E; V11 Version / Conformance Vectors E Fully explicit
#23
Two-Dimensional Planar Ground
III · Ontology and Structural Neutrality
S01 Survey Domain & Ground Model E C02 Mandatory Core D; C05 Exactness Requirements D V02 Domain-Boundary Vectors E Basis update needed
#24
Exact Foundational Mathematics
III · Ontology and Structural Neutrality
S04 Spatial Expressions & Geometry E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C05 Exactness Requirements E; C08 Independent Implementation Requirement E; C09 Failure Conditions E V03 Pang Measurement Vectors E; V05 Geometry Vectors E; V08 Precision Vectors E; V12 Pathological Edge Cases E Fully explicit
#25
Boundaries Are Not Foundational Semantic Objects
III · Ontology and Structural Neutrality
S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C05 Exactness Requirements D; C09 Failure Conditions D V05 Geometry Vectors E Basis update needed
#26
Semantic Containment Belongs Above
III · Ontology and Structural Neutrality
S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C05 Exactness Requirements D V05 Geometry Vectors E Basis update needed
#27
Space Without Time
III · Ontology and Structural Neutrality
S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C07 Version Compatibility D V01 Addressing Vectors D; V11 Version / Conformance Vectors D; V12 Pathological Edge Cases D Basis update needed
#28
Higher-Layer Geometry Need Not Align to the Grid
III · Ontology and Structural Neutrality
S01 Survey Domain & Ground Model E; S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C05 Exactness Requirements D; C09 Failure Conditions D V05 Geometry Vectors D; V12 Pathological Edge Cases D Basis update needed
#29
World Membership Belongs Above
III · Ontology and Structural Neutrality
S01 Survey Domain & Ground Model E; S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C04 Validation Behavior D; C09 Failure Conditions D V02 Domain-Boundary Vectors E Basis update needed
#30
Deterministic Canonicalization
III · Ontology and Structural Neutrality
S03 Canonical Addressing & Precision E; S04 Spatial Expressions & Geometry E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C09 Failure Conditions E V01 Addressing Vectors E; V06 Normalization Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V12 Pathological Edge Cases E Fully explicit
#31
Canonical Spatial Extents
III · Ontology and Structural Neutrality
S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C05 Exactness Requirements D V05 Geometry Vectors E Basis update needed
#32
Exact Edge Semantics
III · Ontology and Structural Neutrality
S04 Spatial Expressions & Geometry E C01 Conformance Classes E V02 Domain-Boundary Vectors E; V05 Geometry Vectors E; V12 Pathological Edge Cases E Fully explicit
#33
One Mathematics, Many Spatial Expressions
III · Ontology and Structural Neutrality
S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C05 Exactness Requirements D V05 Geometry Vectors E Basis update needed
#34
Native Spatial Scale: Pang
IV · Native Measurement and Orientation
S02 Canonical Frame & Measurement E C02 Mandatory Core D; C05 Exactness Requirements D V03 Pang Measurement Vectors E Basis update needed
#35
Pang Defines Scale
IV · Native Measurement and Orientation
S02 Canonical Frame & Measurement E C02 Mandatory Core D; C05 Exactness Requirements D V03 Pang Measurement Vectors E Basis update needed
#36
Canonical Spatial Separation
IV · Native Measurement and Orientation
S02 Canonical Frame & Measurement E C02 Mandatory Core D; C05 Exactness Requirements D V03 Pang Measurement Vectors E Basis update needed
#37
Canonical Area
IV · Native Measurement and Orientation
S02 Canonical Frame & Measurement E C02 Mandatory Core D; C05 Exactness Requirements D V03 Pang Measurement Vectors E Basis update needed
#38
Native Canonical Directions
IV · Native Measurement and Orientation
S02 Canonical Frame & Measurement E C02 Mandatory Core D; C05 Exactness Requirements D V04 Orientation Vectors E; V07 Transformation Vectors E Basis update needed
#39
Permanent Canonical Origin
IV · Native Measurement and Orientation
S02 Canonical Frame & Measurement E C02 Mandatory Core D; C05 Exactness Requirements D V02 Domain-Boundary Vectors E; V04 Orientation Vectors E; V07 Transformation Vectors E Basis update needed
#40
One Global Canonical Frame
IV · Native Measurement and Orientation
S02 Canonical Frame & Measurement E C02 Mandatory Core D; C05 Exactness Requirements D V02 Domain-Boundary Vectors E; V04 Orientation Vectors E; V07 Transformation Vectors E Basis update needed
#41
Address and Pang Measurement Must Agree
IV · Native Measurement and Orientation
S02 Canonical Frame & Measurement E; S03 Canonical Addressing & Precision E C02 Mandatory Core D; C05 Exactness Requirements D V01 Addressing Vectors E; V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E Basis update needed
#42
Absolute Canonical Reference
IV · Native Measurement and Orientation
S02 Canonical Frame & Measurement E; S03 Canonical Addressing & Precision E C02 Mandatory Core D; C05 Exactness Requirements D V01 Addressing Vectors E; V04 Orientation Vectors E; V07 Transformation Vectors E Basis update needed
#43
Canonical Angular System
IV · Native Measurement and Orientation
S02 Canonical Frame & Measurement E C02 Mandatory Core D; C05 Exactness Requirements D V04 Orientation Vectors E; V07 Transformation Vectors E Basis update needed
#44
Exact Continuity and Connectedness
V · Geometry, Topology, Measurement, and Operations
S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C05 Exactness Requirements D V05 Geometry Vectors E; V12 Pathological Edge Cases E Basis update needed
#45
Derived Spatial Predicates
V · Geometry, Topology, Measurement, and Operations
S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C03 Canonical Result Equivalence D; C05 Exactness Requirements D V05 Geometry Vectors E; V12 Pathological Edge Cases E Basis update needed
#46
No Entity Identity in the Survey Fabric
V · Geometry, Topology, Measurement, and Operations
S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C09 Failure Conditions D V05 Geometry Vectors E; V12 Pathological Edge Cases E Basis update needed
#47
Nonexclusive Spatial Reference
V · Geometry, Topology, Measurement, and Operations
S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C05 Exactness Requirements D V05 Geometry Vectors E; V12 Pathological Edge Cases E Basis update needed
#48
Exact Survey Domain Limits
V · Geometry, Topology, Measurement, and Operations
S01 Survey Domain & Ground Model E; S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C04 Validation Behavior D; C05 Exactness Requirements D V02 Domain-Boundary Vectors E; V05 Geometry Vectors E; V07 Transformation Vectors E; V09 Invalid-Input Vectors E; V12 Pathological Edge Cases E Basis update needed
#49
No Privileged Foundational Center
V · Geometry, Topology, Measurement, and Operations
S01 Survey Domain & Ground Model E; S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C05 Exactness Requirements D V02 Domain-Boundary Vectors E; V05 Geometry Vectors E; V12 Pathological Edge Cases E Basis update needed
#50
Transform the View, Not the Truth
V · Geometry, Topology, Measurement, and Operations
S04 Spatial Expressions & Geometry E C02 Mandatory Core D; C05 Exactness Requirements D V04 Orientation Vectors E; V05 Geometry Vectors E; V07 Transformation Vectors E; V12 Pathological Edge Cases E Basis update needed
#51
Elevation and Terrain Belong Above
V · Geometry, Topology, Measurement, and Operations
S01 Survey Domain & Ground Model E C02 Mandatory Core D; C09 Failure Conditions D V05 Geometry Vectors D; V12 Pathological Edge Cases D Basis update needed
#52
Surface Is a Higher-Layer Construct
V · Geometry, Topology, Measurement, and Operations
S01 Survey Domain & Ground Model E C02 Mandatory Core D; C09 Failure Conditions D V05 Geometry Vectors D; V12 Pathological Edge Cases D Basis update needed
#53
Uniform Pang Scale
V · Geometry, Topology, Measurement, and Operations
S02 Canonical Frame & Measurement E C05 Exactness Requirements E V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E Fully explicit
#54
Sub-Pang Precision Through Exact Refinement
V · Geometry, Topology, Measurement, and Operations
S02 Canonical Frame & Measurement E; S03 Canonical Addressing & Precision E C05 Exactness Requirements E V01 Addressing Vectors E; V03 Pang Measurement Vectors E; V08 Precision Vectors E Fully explicit
#55
Canonical Path and Boundary Length
V · Geometry, Topology, Measurement, and Operations
S02 Canonical Frame & Measurement E; S05 Canonical Operations E C05 Exactness Requirements E V03 Pang Measurement Vectors E Fully explicit
#56
Exact Spatial Composition
V · Geometry, Topology, Measurement, and Operations
S05 Canonical Operations E C05 Exactness Requirements E V05 Geometry Vectors E; V12 Pathological Edge Cases E Fully explicit
#57
Deterministic Validity and Normalization
V · Geometry, Topology, Measurement, and Operations
S05 Canonical Operations E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V06 Normalization Vectors E; V07 Transformation Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V12 Pathological Edge Cases E Fully explicit
#58
Canonical Ordering Without Hierarchy
V · Geometry, Topology, Measurement, and Operations
S05 Canonical Operations E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C06 Serialization Compatibility E; C10 Conformance Report & Declaration E V06 Normalization Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V12 Pathological Edge Cases E Fully explicit
#59
Canonical Serialization and Interchange
V · Geometry, Topology, Measurement, and Operations
S06 Serialization & Specification Identity E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C06 Serialization Compatibility E; C07 Version Compatibility E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V06 Normalization Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Fully explicit
#60
Version the Standard, Not the Place
V · Geometry, Topology, Measurement, and Operations
S06 Serialization & Specification Identity E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C06 Serialization Compatibility E; C07 Version Compatibility E; C10 Conformance Report & Declaration E V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V11 Version / Conformance Vectors E Fully explicit
#61
Spatial Meaning Independent of Verification Technology
V · Geometry, Topology, Measurement, and Operations
S06 Serialization & Specification Identity E C07 Version Compatibility E; C08 Independent Implementation Requirement E V10 Serialization Vectors E; V11 Version / Conformance Vectors E Fully explicit
#62
Rights and Ownership Belong Above
V · Geometry, Topology, Measurement, and Operations
S04 Spatial Expressions & Geometry D C02 Mandatory Core D; C09 Failure Conditions D; C10 Conformance Report & Declaration D V12 Pathological Edge Cases D Basis update needed
#63
Openly Inspectable and Independently Implementable
V · Geometry, Topology, Measurement, and Operations
S06 Serialization & Specification Identity D; S07 Computability Rules D C01 Conformance Classes E; C03 Canonical Result Equivalence E; C06 Serialization Compatibility E; C08 Independent Implementation Requirement E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Basis update needed
#64
One Meaning, Many Durable Expressions
V · Geometry, Topology, Measurement, and Operations
S06 Serialization & Specification Identity E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C06 Serialization Compatibility E; C07 Version Compatibility E; C08 Independent Implementation Requirement E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V06 Normalization Vectors E; V08 Precision Vectors E; V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Fully explicit
#65
Neutral Conflict Detection
V · Geometry, Topology, Measurement, and Operations
S05 Canonical Operations E C01 Conformance Classes E; C03 Canonical Result Equivalence E V05 Geometry Vectors E; V12 Pathological Edge Cases E Fully explicit
#66
Exact Spatial Equivalence
V · Geometry, Topology, Measurement, and Operations
S05 Canonical Operations E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C09 Failure Conditions E V03 Pang Measurement Vectors E; V05 Geometry Vectors E; V06 Normalization Vectors E; V10 Serialization Vectors E; V12 Pathological Edge Cases E Fully explicit
#67
Scale Transformations Are Derived
V · Geometry, Topology, Measurement, and Operations
S02 Canonical Frame & Measurement E; S05 Canonical Operations E C02 Mandatory Core D; C05 Exactness Requirements D V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V07 Transformation Vectors E Basis update needed
#68
Singular Mathematical Orientation
V · Geometry, Topology, Measurement, and Operations
S02 Canonical Frame & Measurement E; S05 Canonical Operations E C01 Conformance Classes E V04 Orientation Vectors E; V07 Transformation Vectors E Fully explicit
#69
Exact Closeness, Higher-Layer Meaning
V · Geometry, Topology, Measurement, and Operations
S02 Canonical Frame & Measurement E; S05 Canonical Operations E C02 Mandatory Core D; C05 Exactness Requirements D V03 Pang Measurement Vectors E; V05 Geometry Vectors E Basis update needed
#70
Refinement Depth Without Semantic Tiers
V · Geometry, Topology, Measurement, and Operations
S03 Canonical Addressing & Precision E; S05 Canonical Operations E C02 Mandatory Core D; C05 Exactness Requirements D V01 Addressing Vectors E; V06 Normalization Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V12 Pathological Edge Cases E Basis update needed
#71
Exact Addressability Without Pretending Infinity Fits in an Address
V · Geometry, Topology, Measurement, and Operations
S03 Canonical Addressing & Precision E; S05 Canonical Operations E; S07 Computability Rules E C01 Conformance Classes E; C04 Validation Behavior E; C09 Failure Conditions E V01 Addressing Vectors E; V06 Normalization Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V12 Pathological Edge Cases E Fully explicit
#72
Separate Canonical, Storage, and Rendering Precision
V · Geometry, Topology, Measurement, and Operations
S05 Canonical Operations E; S07 Computability Rules E C01 Conformance Classes E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C09 Failure Conditions E V01 Addressing Vectors E; V03 Pang Measurement Vectors E; V06 Normalization Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V12 Pathological Edge Cases E Fully explicit
#73
Lossless Versus Lossy Precision Conversion
V · Geometry, Topology, Measurement, and Operations
S05 Canonical Operations E; S07 Computability Rules E C01 Conformance Classes E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C09 Failure Conditions E V01 Addressing Vectors E; V03 Pang Measurement Vectors E; V06 Normalization Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V12 Pathological Edge Cases E Fully explicit
#74
Exact Comparison at the Foundation
V · Geometry, Topology, Measurement, and Operations
S05 Canonical Operations E; S07 Computability Rules E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C09 Failure Conditions E V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V05 Geometry Vectors E; V06 Normalization Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V12 Pathological Edge Cases E Fully explicit
#75
No Silent Snapping
V · Geometry, Topology, Measurement, and Operations
S05 Canonical Operations E; S07 Computability Rules E C01 Conformance Classes E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C09 Failure Conditions E V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V05 Geometry Vectors E; V06 Normalization Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V12 Pathological Edge Cases E Fully explicit
#76
One Connected Reference Domain
V · Geometry, Topology, Measurement, and Operations
S01 Survey Domain & Ground Model E; S07 Computability Rules E C02 Mandatory Core D; C04 Validation Behavior D; C05 Exactness Requirements D V02 Domain-Boundary Vectors E Basis update needed
#77
No Semantic Privilege for Internal Partitions
V · Geometry, Topology, Measurement, and Operations
S01 Survey Domain & Ground Model E; S07 Computability Rules E C02 Mandatory Core D; C05 Exactness Requirements D V02 Domain-Boundary Vectors D; V12 Pathological Edge Cases D Basis update needed
#78
Finitely Representable Canonical Truth
VI · Knowability, Computability, and Conformance
S07 Computability Rules E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C08 Independent Implementation Requirement E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V05 Geometry Vectors E; V06 Normalization Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Fully explicit
#79
Minimal Canonical Primitive Set
VI · Knowability, Computability, and Conformance
S07 Computability Rules E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C08 Independent Implementation Requirement E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V05 Geometry Vectors E; V06 Normalization Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Fully explicit
#80
No Hidden-State Dependence
VI · Knowability, Computability, and Conformance
S07 Computability Rules E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C08 Independent Implementation Requirement E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V05 Geometry Vectors E; V06 Normalization Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Fully explicit
#81
Canonical Truth Must Terminate
VI · Knowability, Computability, and Conformance
S07 Computability Rules E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C08 Independent Implementation Requirement E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V05 Geometry Vectors E; V06 Normalization Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Fully explicit
#82
Controlled Canonical Complexity
VI · Knowability, Computability, and Conformance
S07 Computability Rules E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V05 Geometry Vectors E; V06 Normalization Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Fully explicit
#83
No Vague Canonical Spatial States
VI · Knowability, Computability, and Conformance
S07 Computability Rules E C01 Conformance Classes E; C03 Canonical Result Equivalence E; C04 Validation Behavior E; C05 Exactness Requirements E; C06 Serialization Compatibility E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V01 Addressing Vectors E; V02 Domain-Boundary Vectors E; V03 Pang Measurement Vectors E; V04 Orientation Vectors E; V05 Geometry Vectors E; V06 Normalization Vectors E; V07 Transformation Vectors E; V08 Precision Vectors E; V09 Invalid-Input Vectors E; V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Fully explicit
#84
Mandatory Conformance Core
VI · Knowability, Computability, and Conformance
N/A requirement governs Conformance/readiness rather than Specification content C01 Conformance Classes E; C02 Mandatory Core E; C07 Version Compatibility E; C08 Independent Implementation Requirement E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V10 Serialization Vectors E; V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Specification N/A by design
#85
Readiness Gates for Mathematical Design, Prototype, and Canonical Adoption
VI · Knowability, Computability, and Conformance
N/A requirement governs Conformance/readiness rather than Specification content C01 Conformance Classes E; C07 Version Compatibility E; C08 Independent Implementation Requirement E; C09 Failure Conditions E; C10 Conformance Report & Declaration E V11 Version / Conformance Vectors E; V12 Pathological Edge Cases E Specification N/A by design
Specification basis-citation standing. The adopted FSF-SPEC-1.0 materially establishes the governing mathematics, but this matrix defines E by explicit Requirements Basis citation. Existing Specification E / D row statuses therefore remain unchanged until a dedicated basis-citation reconciliation is performed. This is intentional: substantive satisfaction of a Requirement and explicit documentary traceability are related but distinct obligations.
Reference Vector traceability. All 144 Reference Vector subsections have been reverse-traced to Findings #1–#85. That traceability remains closed. Reference Vectors demonstrate the adopted Specification; they do not create it.
Scope note. This remains a page/section-level Requirements Traceability Matrix. Specification and Conformance basis-citation explicitness should be re-audited only through a dedicated documentation reconciliation. Until then, historical E / D markings are preserved rather than guessed forward from adoption. The matrix may identify documentation-maintenance work without implying that FSF-SPEC-1.0 itself is provisional.