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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Interface Segregation Principle Is a Corollary of the Dependency Inversion Principle

A Formal Proof via the Independent Variation Principle
Authors: Loth, Yannick;

The Interface Segregation Principle Is a Corollary of the Dependency Inversion Principle

Abstract

A first companion paper proves the structural biconditional between ISP and per-client DIP: applying DIP’s ownership clause once per client–provider edge produces exactly the interfaces that ISP prescribes, and conversely. That proof identifies five elements — provider, two clients, two interface slices — but does not determine where they belong in the module structure. A second companion paper shows that no partition of these elements satisfies all of Martin’s packaging principles simultaneously: CCP and REP are jointly unsatisfiable for any multi-client provider configuration, and the tension triangle offers no escape. This paper applies the Independent Variation Principle (IVP) to the same configuration and obtains two results. First, the forward direction of the ISP–DIP biconditional (DIP implies ISP) is formalized in IVP terms. Second, IVP’s modularization methodology — identify elements, identify change drivers, apply the axioms — yields a unique partition: each interface slice resides with its client, because they share change drivers. For a given change-driver assignment, IVP resolves the packaging question that SOLID leaves underdetermined.

Keywords

Change drivers, Software modularization, Software Architecture, SOLID, Packaging Principles, Interface Segregation Principle, Design Principles, Dependency Inversion Principle, Independent Variation Principle, Formal Methods

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average