papers/009.md
Dependency and Traceability
Document: papers/009.md
Volume: I — Foundations
Status: Draft 0.1
Authors
- Eduardo N. Hering
- OpenAI ChatGPT
Abstract
The ICA engineering process demonstrated that implementation artifacts were not created independently.
Each artifact originated from architectural decisions established earlier in the derivation process.
This paper introduces the concepts of architectural dependency and architectural traceability.
Dependency describes how architectural elements constrain one another.
Traceability records the observable relationships produced by those dependencies during derivation.
Together they provide the empirical basis for reconstructing and validating architectural derivations.
1. Motivation
Implementation artifacts rarely appeared in isolation during the construction of the ICA.
Each document depended upon concepts introduced by previous architectural decisions.
Likewise, modifications to constitutional definitions frequently propagated throughout multiple implementation artifacts.
These observations indicate that derivation possesses an internal dependency structure.
Making that structure explicit is necessary before discussing derivation correctness.
2. Observations
Observation 1
Architectural concepts introduced in constitutional documents reappeared consistently throughout implementation artifacts.
Observation 2
Implementation documents frequently depended upon multiple constitutional concepts simultaneously.
Observation 3
Changes to higher-level architectural concepts propagated predictably through derived artifacts.
Observation 4
The implementation process naturally generated evidence linking derived artifacts to their architectural origins.
Observation 5
Architectural review relied heavily upon reconstructing these dependency relationships.
3. Definitions
Definition 1 — Architectural Dependency
An architectural dependency exists whenever the definition, existence, or validity of one architectural element requires another architectural element.
Dependencies may exist within architectures, between artifacts, or across derivation stages.
Definition 2 — Traceability
Architectural traceability is the ability to identify the derivational origin of an architectural element through observable dependency relationships.
Definition 3 — Trace
A trace is an observable record connecting a derived element to the architectural decisions from which it originated.
Definition 4 — Traceability Network
The collection of traces established during derivation forms a traceability network.
This network represents the observable evidence of the derivation process.
4. Discussion
Dependency should not be interpreted merely as document referencing.
Architectural dependency exists independently of documentation.
Documentation merely records evidence of dependencies already present within the architecture and its derivation.
Likewise, traceability is not itself part of the architecture.
It is an observable consequence of derivation.
The ICA engineering process repeatedly demonstrated that implementation artifacts could be understood by following architectural traces backward toward constitutional concepts.
This suggests that derivations are not arbitrary sequences of engineering decisions.
Instead, they produce structured dependency networks that preserve architectural coherence.
5. Propositions
Proposition 1
Every valid derivation produces architectural dependencies.
Proposition 2
Every architectural dependency may generate observable traces.
Proposition 3
Traceability provides empirical evidence for derivation but is not identical to derivation itself.
Proposition 4
Loss of traceability reduces the ability to validate architectural consistency without necessarily altering the architecture.
Proposition 5
The traceability network constitutes an observable representation of the derivation process.
6. Conjectures
Conjecture 1
Architectural traceability networks possess characteristic structural properties independent of application domain.
Conjecture 2
Traceability networks may allow partial reconstruction of unknown derivations.
Conjecture 3
Measures defined on dependency networks may become quantitative indicators of architectural quality.
7. Open Questions
- Can every derivation be uniquely reconstructed from traceability evidence?
- Which dependency structures are universal among Derivable Architectures?
- Can traceability networks reveal architectural inconsistencies automatically?
- Are dependency networks sufficient to compare independent derivations?
8. Status
Architectural dependency and traceability explain how derivations remain observable after implementation.
The concepts establish the empirical foundation required for evaluating derivation correctness.
The next paper introduces correctness as the criterion distinguishing valid derivations from invalid ones.