Inverse Verification
Updated 2026-08-11
INTRODUCTION
English translation pending.
CORE DEFINITION
Inverse verification is a long-standing technique in mathematics and engineering, familiar from checking multiplication by division. Its core proposition is that a result derived forward can be independently tested by deriving what must also hold if the result is true, then checking that condition directly. The key qualification is that a satisfied inverse condition raises confidence rather than proving correctness, since the inverse test can be satisfied for the wrong reasons and many causes can produce a single observed effect.
SCAFFOLDING EFFECT
Reduce cognitive load
- Use reverse check: recompute from the answer back to the inputs and see whether they match. - Use invariant test: identify a quantity that must be conserved and verify that it holds. - Use falsification probe: ask what should be false if the conclusion is right, then test that.
Anchor fast decisions
Forward derivation and its reverse exercise different steps, so a shared mistake is less likely to survive both. Errors made in the forward pass usually break some relation the answer must satisfy, and recomputing backward surfaces that break without repeating the original reasoning. The check also works on assumptions: if a conclusion is true, certain observable consequences follow, and looking for their absence tests the conclusion rather than defending it. Verification is strongest when the inverse test is independent of the path that produced the answer.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- doi.orghttps://doi.org/10.1006/ijhc.1998.0210verified
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