Reachability analysis is a formal method used to determine which states of a system can be reached from a given initial state, considering all possible inputs and state transitions. It is crucial in verifying the safety and correctness of systems, particularly in control systems and software verification, by identifying potential states that could lead to failures or unsafe conditions.

Reachability Analysis

Reachability analysis

formal method

states of a system

The 'initial state' refers to the starting condition of a system or process before any changes or developments occur. Understanding the initial state is crucial for predicting outcomes, modeling systems, and setting the stage for dynamic analysis across various fields such as physics, computer science, and economics.

initial state

all possible inputs

State transitions refer to the changes in the state of a system or process, often modeled in terms of state machines or state diagrams. They are fundamental in understanding the dynamic behavior of systems, particularly in computer science, physics, and control systems, where the system's response to inputs and events is critical.

state transitions

Verifying safety

correctness of systems

Control systems are frameworks that manage, command, direct, or regulate the behavior of other devices or systems using control loops. They are essential in engineering and technology for ensuring desired outputs in dynamic environments by automatically adjusting inputs based on feedback.

control systems

Software verification is the process of ensuring that a software system meets specifications and fulfills its intended purpose without errors. It involves rigorous checking and evaluation techniques to confirm that the software behaves as expected under specified conditions, typically through static and dynamic analysis methods.

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