Introduction to Modeling for Formal Verification

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Introduction to Modeling for Formal Verification

This course is part of Fundamentals of Model Checking Specialization

Instructor: Hao Zheng

Included with

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3 modules

Gain insight into a topic and learn the fundamentals.

11 reviews

Beginner level

Recommended experience

1 week to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

3 modules

Gain insight into a topic and learn the fundamentals.

11 reviews

Beginner level

Recommended experience

1 week to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

What you'll learn

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.

Skills you'll gain

Tools you'll learn

Software Systems

Details to know

Shareable certificate

Add to your LinkedIn profile

Assessments

10 assignments

Taught in English

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This course is part of the Fundamentals of Model Checking Specialization

When you enroll in this course, you'll also be enrolled in this Specialization.

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There are 3 modules in this course

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.

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.

What's included

7 videos8 readings3 assignments

7 videos Total 53 minutes

Motivating Examples 7 minutes
High Profile Previous Bugs and Their Impacts 10 minutes
Overview of Functional Verification 5 minutes
Techniques for Functional Verification 10 minutes
Overview of Formal Verification and Model Checking 7 minutes
Elements of Model Checking 6 minutes
Challenge to Model Checking: State Space Explosion 6 minutes

8 readings Total 151 minutes

Course Updates and Accessibility Support 1 minute
Non-Credit Students: Welcome and Where to Find Help 10 minutes
Principles of Model Checking - Chapter 1, Introduction - Part 1 15 minutes
Hardware and Software Bugs - Wikipedia 20 minutes
Functional Verification 30 minutes
Principles of Model Checking - Chapter 1, Introduction - Part 2 15 minutes
Principles of Model Checking - Section 1.1, 1.2 30 minutes
Formal Verification and Model Checking - Wikipedia 30 minutes

3 assignments Total 30 minutes

Motivation of Verification Quiz 10 minutes
Overview of Verification Quiz 10 minutes
Formal Verification and Model Checking Quiz 10 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.

What's included

10 videos3 readings3 assignments

10 videos Total 110 minutes

Propositional Logic 14 minutes
Predicate Logic 9 minutes
Set Theory 11 minutes
Transition Systems: Definitions 13 minutes
Deterministic vs Non-Deterministic Systems 8 minutes
Executions 6 minutes
Modeling Sequential Circuits 12 minutes
Program Graphs: Definitions 10 minutes
Program Graphs: Examples 16 minutes
From Program Graphs to Transition Systems 12 minutes

3 readings Total 135 minutes

Foundations of Logic and Set Theory - Key Concepts and Applications 60 minutes
Principles of Model Checking - Section 2.1, Page 19-29 45 minutes
Principles of Model Checking - Section 2.1, (Page 29-34) 30 minutes

3 assignments Total 65 minutes

Background Quiz 30 minutes
Transition Systems Quiz 20 minutes
Program Graphs Quiz 15 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.

What's included

10 videos4 readings4 assignments

10 videos Total 110 minutes

Concurrency and Interleaving 10 minutes
Concurrency and Interleaving: Examples 8 minutes
Interleaving Program Graphs 12 minutes
Critical Actions and Atomicity 11 minutes
Peterson's Mutual Exclusion Algorithm 13 minutes
Synchronization and Handshaking 13 minutes
Example: Railroad Crossing 13 minutes
Synchronous Product - Part 1 11 minutes
Synchronous Product - Part 2 11 minutes
The State Space Explosion Problem 9 minutes

4 readings Total 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 assignments Total 65 minutes

Modeling Concurrency Using Transition Systems Quiz 15 minutes
Modeling Communications Via Shared Variables Quiz 20 minutes
Modeling Communications Via Handshaking Quiz 10 minutes
Synchronous Parallelism Quiz 20 minutes

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Instructor

Hao Zheng

University of Colorado Boulder

3 Courses 820 learners

Offered by

University of Colorado Boulder

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