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Introduction to Modeling for Formal Verification

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Introduction to Modeling for Formal Verification

Ce cours fait partie de Spécialisation "Fundamentals of Model Checking"

Instructeur : Hao Zheng

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3 modules

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3 modules

Obtenez un aperçu d'un sujet et apprenez les principes fondamentaux.

11 avis

niveau Débutant

Expérience recommandée

1 semaine à compléter

à 10 heures par semaine

Planning flexible

Apprenez à votre propre rythme

Ce que vous apprendrez

Explain functional verification and model checking, including their benefits and drawbacks
Describe transition systems and how they represent behavior of hardware and software
Use program graphs to describe systems with data-dependent control
Describe communication models for system composition, including concurrency, shared variables, handshake, and synchronous parallelism.

Compétences que vous acquerrez

Catégorie : Process Modeling
Catégorie : Theoretical Computer Science
Catégorie : Graph Theory
Catégorie : Computational Logic
Catégorie : Verification And Validation
Catégorie : Computer Engineering
Catégorie : Communication Systems
Catégorie : Systems Design

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Catégorie : Software Systems

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Ce cours fait partie de la Spécialisation "Fundamentals of Model Checking"

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Il y a 3 modules dans ce cours

This course introduces the basic concepts of functional verification and model checking, highlighting their importance in modern system designs. It explains different modeling formalisms for representing the behavior of hardware and software, which are either suitable for automated analysis or can represent data-dependent controls that are common in computing system designs. Additionally, it describes system compositions with respect to different communication models.

Détails du module

This module introduces basic concepts of functional verification and model checking. It demonstrates the importance of verification via some examples, outlines the challenges, and reviews pros and cons of model checking with respect to other verification methods.

Inclus

7 vidéos8 lectures3 devoirs

7 vidéosTotal 53 minutes

Motivating Examples7 minutes
High Profile Previous Bugs and Their Impacts10 minutes
Overview of Functional Verification5 minutes
Techniques for Functional Verification10 minutes
Overview of Formal Verification and Model Checking7 minutes
Elements of Model Checking6 minutes
Challenge to Model Checking: State Space Explosion6 minutes

8 lecturesTotal 151 minutes

Course Updates and Accessibility Support1 minute
Non-Credit Students: Welcome and Where to Find Help10 minutes
Principles of Model Checking - Chapter 1, Introduction - Part 115 minutes
Hardware and Software Bugs - Wikipedia20 minutes
Functional Verification30 minutes
Principles of Model Checking - Chapter 1, Introduction - Part 215 minutes
Principles of Model Checking - Section 1.1, 1.230 minutes
Formal Verification and Model Checking - Wikipedia30 minutes

3 devoirsTotal 30 minutes

Motivation of Verification Quiz10 minutes
Overview of Verification Quiz10 minutes
Formal Verification and Model Checking Quiz10 minutes

This module introduces transition systems, a basic modeling formalism for representing behavior of hardware and software that is suitable for automated analysis. The syntax and semantics of transition systems are explained, and how sequential circuits can be represented as transition systems is described. Next, program graphs as a formalism to model software are introduced. Syntax of program graphs is described, and semantic interpretation using transition systems is explained.

Inclus

10 vidéos3 lectures3 devoirs

10 vidéosTotal 110 minutes

Propositional Logic14 minutes
Predicate Logic9 minutes
Set Theory11 minutes
Transition Systems: Definitions13 minutes
Deterministic vs Non-Deterministic Systems8 minutes
Executions6 minutes
Modeling Sequential Circuits12 minutes
Program Graphs: Definitions10 minutes
Program Graphs: Examples16 minutes
From Program Graphs to Transition Systems12 minutes

3 lecturesTotal 135 minutes

Foundations of Logic and Set Theory - Key Concepts and Applications60 minutes
Principles of Model Checking - Section 2.1, Page 19-2945 minutes
Principles of Model Checking - Section 2.1, (Page 29-34)30 minutes

3 devoirsTotal 65 minutes

Background Quiz30 minutes
Transition Systems Quiz20 minutes
Program Graphs Quiz15 minutes

This module introduces some modeling formalisms capturing different types of system compositions. Particularly, interleaving of concurrent transition systems, compositions of systems communicating via shared variables or handshaking are explained. Additionally, synchronous parallelism is described for composing synchronous circuit composition.

Inclus

10 vidéos4 lectures4 devoirs

10 vidéosTotal 110 minutes

Concurrency and Interleaving10 minutes
Concurrency and Interleaving: Examples8 minutes
Interleaving Program Graphs12 minutes
Critical Actions and Atomicity11 minutes
Peterson's Mutual Exclusion Algorithm13 minutes
Synchronization and Handshaking13 minutes
Example: Railroad Crossing13 minutes
Synchronous Product - Part 111 minutes
Synchronous Product - Part 211 minutes
The State Space Explosion Problem9 minutes

4 lecturesTotal 110 minutes

Principles of Model Checking - Section 2.2.1, (Page 35-39)30 minutes
Principles of Model Checking - Section 2.2.2, (Page 39-47)30 minutes
Principles of Model Checking - Section 2.2.3, (Page 48-52)30 minutes
Principles of Model Checking - Section 2.2.6, (Page 73-75)20 minutes

4 devoirsTotal 65 minutes

Modeling Concurrency Using Transition Systems Quiz15 minutes
Modeling Communications Via Shared Variables Quiz20 minutes
Modeling Communications Via Handshaking Quiz10 minutes
Synchronous Parallelism Quiz20 minutes

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