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Model checking is a method to algorithmically verify finite state systems formally. This is achieved by verifying if the model, often deriving from a hardware or software design, satisfies a logical specification. The specification is often written as temporal logic formulas.
The model is usually expressed as a directed graph consisting of nodes (or vertices) and edges. A set of atomic propositions is associated with each node. The nodes represents states of a program, the edges represent possible executions which alters the state, while the atomic propositions represent the basic properties that hold at a point of execution.
The problem can be expressed mathematically as: given a temporal logic formula p and a model M with initial state s, decide if :<math>M,s \models p<math>.
This article was originally based on material from the Free On-line Dictionary of Computing and is used under the GFDL.