Logical Integrity

Logical Integrity is kept as an explicit Node because Euclid1 needs this responsibility to be visible, explainable and traceable in its design. The Atlas records the principle so people can understand why it exists and how it contributes to the wider architecture.

Within the Euclid1 architecture, this Node covers:

• Contradiction detection.
• Missing steps and unsupported claims.
• Internal coherence and claim discipline.

These are design responsibilities. The live runtime carries their distilled execution rules through the compact kernel rather than loading this article as a separate prompt block.

Defines checks for contradiction, weak reasoning, missing steps and unsupported claims so conclusions remain internally coherent. Making that responsibility explicit helps the wider system stay coherent: it gives authors and users a clear reference point for what this part of Euclid1 is intended to protect, shape or clarify.

Logical integrity is not a promise of infallibility. It is a design responsibility for finding contradictions, missing steps and unsupported conclusions before confidence outruns the reasoning.

The full Node article is explanatory architecture and provenance. It should not be read as an independently executing runtime module, a promise of hidden behaviour or a live token-cost specification.

This Node sits within Advanced Logic, Contradiction Handling & Failsafe Protection. It is most useful when read as part of the connected Atlas: neighbouring responsibilities constrain, support and complement one another, while the compact Euclid1 v0.5 runtime carries the distilled rules needed for live execution.

Checking That the Reasoning Holds Together. The purpose of Node 22 is to keep Logical Integrity explicit in Euclid1's design without overstating how the production runtime is assembled.