This course introduces the fundamentals of model checking techniques based on using SAT (Propositional Satisfiability) solving and SMT (Satisfiability Modulo Theories) solving. You will learn basic concepts of propositional SAT solving, including conflict-driven clause learning (CDCL), proof methods, and theory-specific solvers, and concepts of encoding a model checking problem as a SAT solving problem. Topics include introduction to modern propositional SAT solving techniques, encoding Boolean circuits to Conjunctive Normal Form (CNF), bounded and unbounded model checking, and basic introduction to SMT solving. This course is Ideal for those seeking to understand SAT-based model checking and apply it in practical scenarios.
Model Checking with SAT and SMT
您将学到什么
Describe the core principles of Propositional Satisfiability and Satisfiability Modulo Theories, including key techniques used for efficient solving
Explain an encoding method to translate Boolean circuits into Conjunctive Normal Form (CNF)
Describe bounded model checking of transition systems using SAT or SMT
Describe techniques to complement SAT-based bound model checking to make it complete
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November 2025
作业
10 项作业
授课语言：英语（English）
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该课程共有3个模块
This module introduces basic concepts and core techniques and procedures within modern propositional satisfiability solving, including resolution, Conflict-Driven Clause Learning (CDCL), Fast Deduction, and some features of SAT useful for problem solving. By examining these strategies, students will gain a foundational understanding of how modern SAT solvers analyze, deduce, and verify propositional formulae. Each lesson builds on practical examples to demonstrate how these methods contribute to modern SAT solver efficiency, reliability, and scalability.
涵盖的内容
16个视频2篇阅读材料3个作业
This module dives into SAT-based model checking techniques. Lessons cover basic concepts of bounded model checking including bounded encodings of models and LTL formulas, and methods to complement BMC to make it complete.
涵盖的内容
12个视频1篇阅读材料3个作业
This module introduces the fundamental concepts and techniques of Satisfiability Modulo Theories (SMT), an extension of satisfiability solving to more expressive logical domains such as Integer Difference Logic (IDL) and Equality with Uninterpreted Functions (EUF). It also covers methods for combining different theories, including the Nelson-Oppen procedure used in SMT solving. The lessons emphasize how SMT solvers handle diverse theories to efficiently solve complex logical and mathematical problems.
涵盖的内容
18个视频1篇阅读材料4个作业
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University of Colorado Boulder
EIT Digital
University of Colorado Boulder
EIT Digital
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