For a state formula in a fixed labelled transition system, its satisfaction set is . This is a set of states; it is distinct from the assertion that every initial state satisfies the formula.
A formal verification method that encodes a bounded execution and a violated specification as a Boolean satisfiability problem. A satisfying assignment yields a counterexample. For infinite-path properties, a lasso path can finitely represent a repeated execution. Failure to find a counterexample at one finite bound alone does not prove an unbounded property.[ref]
Symbolic Model Checking without BDDs by Armin Biere and others. §§2–4, bounded encodings; §5, bounds
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Model checking is a formal verification technique used in computer science and systems engineering to systematically explore the states of a finite system model to verify whether certain properties hold. It is often applied to hardware and software systems, where the goal is to ensure that the system behaves correctly under all possible scenarios. Key components of model checking include: 1. **Model**: The system being verified is represented as a mathematical model. This model typically captures the system's states, transitions, and behaviors.