Abstract interpretation

What it means

Abstract interpretation analyzes possible program behaviors without executing every path. It maps detailed runtime states into an abstract domain, such as possible nullness, numeric ranges, or taint states, and computes conservative results. The approximation makes large programs analyzable, but it can report warnings for paths that are theoretically possible in the model yet unreachable in practice.

Example

A checker might infer that a value could be null after several branches and flag a dereference. The developer can tighten the type, add a guard, or document an invariant. The goal is not to simulate one run, but to expose classes of behavior across many inputs.

Limitations

Precision and cost trade off against each other. A sound analysis may produce false positives, while a faster or narrower analysis can miss cases. Configuration, language features, and library models materially affect results.

How to use the signal

Weave can place static-analysis changes beside review time, rework, and delivery signals. That comparison helps teams ask whether a rule reduces defects or simply increases noise, without claiming Weave performs abstract interpretation itself.