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FxChain Foundations · Comparison guide

Comparison outcomes

How to read agreement, disagreement and refusal without turning a comparison into an authority decision.

Editorial previewScope reviewed 2026-09-06Internal review, not an external auditNot a product release
Synthetic educational illustration - it does not run FxChain. The compact, interactive example appears once, in the reconstruction chapter. Open the comparison table

The three outcomes, side by side

What each outcome means, what it does not mean, and what a careful reader does next.

OutcomeWhat it meansWhat it does not meanWhat follows
AgreementBoth paths produced matching observations within the stated scope.That the inputs, the rules or the shared assumptions are correct.Record the agreement with its conditions and keep the boundary visible.
DisagreementThe observations differ and an explanation is required.Which path is right. Choosing one by default erases the comparison.Investigate the cause as a separate step, with its own evidence.
Refusal and asymmetryOne path could not admit or reconstruct the material under its conditions.That the refusing path is wrong, or that the other path is right.Preserve the asymmetry. It is an outcome, not a tie to break.

The three cases of the illustration

1

Agreement

Both paths receive a complete history and produce matching observations. This establishes agreement for the example, not that all inputs or shared assumptions are correct.

2

Disagreement

One observation changes while the preserved input boundary remains explicit. The comparison exposes the difference. It neither chooses the correct path nor authorises a rewrite of history.

3

Refusal and asymmetry

One path lacks a required entry and refuses to produce a complete result. The other may still return an observation. That asymmetry remains visible and requires a separate investigation.

Interpretation boundary

What the illustration can and cannot show

The example distinguishes three outcomes. It does not establish that a real protocol is secure, that an engine is correct, or that any financial transaction has taken place. Identifying a cause requires its own evidence.

Evidence and limits