Formal verification
act of proving or disproving the correctness of intended algorithms
In the context of hardware and software systems, formal verification is the act of proving or disproving the correctness of a system with respect to a certain formal specification or property, using formal methods of mathematics.
Formal verification is a key incentive for formal specification of systems, and is at the core of formal methods.
It represents an important dimension of analysis and verification in electronic design automation and is one approach to software verification. The use of formal verification enables the highest Evaluation Assurance Level (EAL7) in the framework of common criteria for computer security certification.
Formal verification can be helpful in proving the correctness of systems such as: cryptographic protocols, combinational circuits, digital circuits with internal memory, and software expressed as source code in a programming language. Prominent examples of verified software systems include the CompCert verified C compiler and the seL4 high-assurance operating system kernel.
The verification of these systems is done by ensuring the existence of a formal proof of a mathematical model of the system. Examples of mathematical objects used to model systems are: finite-state machines, labelled transition systems, Horn clauses, Petri nets, vector addition systems, timed automata, hybrid automata, process algebra, formal semantics of programming languages such as operational semantics, denotational semantics, axiomatic semantics and Hoare logic.
Approaches
Model checking
Model checking involves a systematic and exhaustive exploration of the mathematical model. Such exploration is possible for finite models, but also for some infinite models, where infinite sets of states can be effectively represented finitely by using abstraction or taking advantage of symmetry.
“Formal verification” enters the record as act of proving or disproving the correctness of intended algorithms. Crown Archives preserves that source wording while asking what Formal, verification and proving can confirm, complicate or overturn.
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This entry incorporates text from “Formal verification” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.