Glossary Updates12 new terms added to the glossaries · October 2, 2026, 22:44 CEST
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Glossary · Automation software engineering and architecture

Formal verification

Also known as: Formal methods verification

German: Formale Verifikation

In software and systems engineering, formal verification is the use of mathematical methods, such as model checking, theorem proving or abstract interpretation, to prove or disprove that a system or its model satisfies a formally specified property for all possible inputs and states within the analyzed scope.

  • Software engineering
  • Functional safety

In one sentence

Formal verification uses mathematical methods such as model checking to prove that a system satisfies specified properties for all inputs.

Example

A model checker proves that the interlocking logic of a press can never command the ram down while the guard-closed signal is false, for all input sequences in the model.

How it applies

  • Engineering: Formal methods find defects that testing misses, because they cover all behaviors within the model rather than selected test cases. They are used for protocols, interlocking logic, state machines and safety-critical algorithms, and some tools analyze PLC code directly.
  • Functional safety: IEC 61508 lists formal methods among the techniques recommended for higher safety integrity levels. The results are only as good as the formal specification and the model; errors in either are not detected by the proof.
  • Documentation: Record the properties proven, the model or code version, tool and assumptions. The assumptions, such as input behavior or timing, must be stated clearly, because they limit what the proof shows.

Formal verification vs. testing

Testing shows that a system behaves correctly for the cases tried. Formal verification shows that a property holds for all cases within the model. It complements rather than replaces testing, and it does not replace Validation, which asks whether the specified properties are the right ones.

By knowledge.aitechdoc.world · Published September 26, 2026 · Last reviewed

Source: AI TechDoc Knowledge editorial definition, based on formal methods practice (IEC 61508-3 context)

Definitions follow the cited standards and specifications. Where a source is a copyrighted publication, such as an ISO, IEC or EN standard, the definition is a close paraphrase, not a verbatim quotation, so as not to infringe copyright. We recommend reading the original publication. The sections “How it applies” are editorial commentary by AI TechDoc Knowledge and are not part of any standard.

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