Temporal logic in finite-state verification
Encyclopedia
In finite-state verification
Verification
The word verification may refer to:* Verification and validation, in engineering or quality management systems, it is the act of reviewing, inspecting or testing, in order to establish and document that a product, service or system meets regulatory or technical standards.* Verification , in the...

, model checkers
Model checking
In computer science, model checking refers to the following problem:Given a model of a system, test automatically whether this model meets a given specification....

 examine finite-state machines representing concurrent software systems looking for errors in design
Design
Design as a noun informally refers to a plan or convention for the construction of an object or a system while “to design” refers to making this plan...

. Errors are defined as violations of requirements expressed as properties of the system. In the event that the finite-state machine fails to satisfy the property, a model checker is in some cases capable of producing a counterexample – an execution of the system demonstrating how the error occurs.

Property specifications are often written as Linear Temporal Logic
Linear temporal logic
In logic, Linear temporal logic is a modal temporal logic with modalities referring to time. In LTL, one can encode formulae about the future of paths such as that a condition will eventually be true, that a condition will be true until another fact becomes true, etc. It is a fragment of the more...

 (LTL) expressions. Once a requirement is expressed as an LTL formula
Formula
In mathematics, a formula is an entity constructed using the symbols and formation rules of a given logical language....

, a model checker can automatically verify this property against the model.

Example

One example of such a system requirement:
Between the time an elevator is called at a floor and the time it opens its doors at that floor, the elevator can arrive at that floor at most twice. The authors of "Patterns in Property Specification for Finite-State Verification" translate this requirement into the following LTL formula:

See also

  • Finite-state machines
  • Formal methods
    Formal methods
    In computer science and software engineering, formal methods are a particular kind of mathematically-based techniques for the specification, development and verification of software and hardware systems...

  • Formal verification
    Formal verification
    In the context of hardware and software systems, formal verification is the act of proving or disproving the correctness of intended algorithms underlying a system with respect to a certain formal specification or property, using formal methods of mathematics .- Usage :Formal verification can be...

  • Kripke structure
    Kripke structure
    A Kripke structure is a type of nondeterministic finite state machine proposed by Saul Kripke , used in model checking to represent the behavior of a system.It is a simple abstract machine to capture an idea of a computing machine,...

  • Linear temporal logic
    Linear temporal logic
    In logic, Linear temporal logic is a modal temporal logic with modalities referring to time. In LTL, one can encode formulae about the future of paths such as that a condition will eventually be true, that a condition will be true until another fact becomes true, etc. It is a fragment of the more...

  • Model checking
    Model checking
    In computer science, model checking refers to the following problem:Given a model of a system, test automatically whether this model meets a given specification....

  • Temporal logic
    Temporal logic
    In logic, the term temporal logic is used to describe any system of rules and symbolism for representing, and reasoning about, propositions qualified in terms of time. In a temporal logic we can then express statements like "I am always hungry", "I will eventually be hungry", or "I will be hungry...

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