computer science

Principles of Model Checking

Principles of Model Checking is a computer science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Principles of Model Checking rather than just read about it. In short: Principles of Model Checking is a textbook on model checking, an area of computer science that automates the problem of determining if a machine meets specification requirements. It was written by Christel Baier and Joost-Pieter Katoen, and published in 2008 by MIT Press.

Key takeaways

Principles of Model Checking belongs to computer science; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Principles of Model Checking to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Principles of Model Checking from memory before moving on to harder problems.

Reference excerpt

Principles of Model Checking is a textbook on model checking, an area of computer science that automates the problem of determining if a machine meets specification requirements. It was written by Christel Baier and Joost-Pieter Katoen, and published in 2008 by MIT Press.

Synopsis

The introduction and first chapter outline the field of model checking: a model of a machine or process can be analysed to see if desirable properties hold. For instance, a vending machine might satisfy the property "the balance can never fall below €0,00". A video game might enforce the rule "if the player has 0 lives then the game ends in a loss". Both the vending machine and video game can be modelled as transition systems. Model checking is the process of describing such requirements in mathematical language, and automating proofs that the model satisfies the requirements, or discovery of counterexamples if the model is faulty. The second chapter focuses on creating an appropriate model for concurrent systems, where multiple parts of an algorithm (set of instructions) can be carried out simultaneously by different machines or parts of a machine. Chapters 3 explores types of rules that a transition system may satisfy: linear time properties. A safety property, such as "no deadlock states are possible", is of the form "an undesirable outcome can never occur". A liveness property, such as "a shared resource will always eventually be made available to a component that requests it", is of the form "a desirable outcome will eventually happen". Fairness properties such as "a traffic light never stops changing colour" can be used as preconditions i.e. assumptions from which other properties can be deduced. The fourth chapter is about regular and ω-regular language properties, and theoretical machines such as Büchi automata that model the languages. It gives model-checking algorithms to verify properties or find counterexamples. The fifth and sixth chapters explore linear temporal logic (LTL) and computation tree logic (CTL), two classes of formula that express properties. LTL encodes requirements about paths through a system, such as "every Monopoly player passes 'Go' infinitely often"; CTL encodes requirements about states in a system, such as "from any position, all players can eventually land on 'Go'". CTL* formulae, which combine the two grammars, are also defined. Algorithms for model-checking formulae in these logics are given. The seventh chapter explores formal ways to compare transition systems, such as bisimulation; the eighth is about partial order reductions that aim to reduce the computation required to verify properties of a model. The ninth and tenth chapters are about extensions to the logics and automata previously considered, including through addition of a clock speed (timed automata) or probabilities (probabilistic automata, based on Markov chains).

Reception François Laroussinie, writing in The Computer Journal, recommended the book to researchers, lecturers, students and engineers, calling the book "impressive". Laroussinie found the textbook comprehensive and accessibly written, with a good number of examples, exercises and motivating ideas for key concepts. With a "unified framework", the first seven chapters cover classical theory and the last three chapters cover extensions of model checking. In ACM Computing Reviews, Gabriel Ciobanu believed the textbook could be used in advanced undergraduate or graduate courses, and would be useful to researchers. Ciobanu praised the "clear and intuitive" presentation and said it "should be appreciated for its pedagogical approach to covering basic concepts, deep theoretical results, and advanced topics in model checking research". In 2014, the book was one of the five most-cited academic texts monitored by the Book Citation Index (BKCI).

References

Further reading Lange, Martin (2010), MathSciNet, MR 2493187{{citation}}: CS1 maint: untitled periodical (link)

External links Official website

Illustrations

Worked examples

Example 1 — a first encounter with Principles of Model Checking

Start with the simplest possible case. Write down what Principles of Model Checking claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In computer science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Principles of Model Checking before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Principles of Model Checking ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Principles of Model Checking

In research: Principles of Model Checking appears in computer science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Principles of Model Checking in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Principles of Model Checking is common in secondary-school and first-year university syllabi. It links to neighbouring topics 2008 non-fiction books, Computer science textbooks, so understanding it makes those chapters shorter.
In everyday life: Look for Principles of Model Checking outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Principles of Model Checking in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Principles of Model Checking means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Principles of Model Checking out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Principles of Model Checking in simple terms?

Why does Principles of Model Checking matter?

Because it connects several computer science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Principles of Model Checking?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Principles of Model Checking.