課程信息
5.0
1 個評分
In this course you will learn how to apply satisfiability (SAT/SMT) tools to solve a wide range of problems. Several basic examples are given to get the flavor of the applications: fitting rectangles to be applied for printing posters, scheduling problems, solving puzzles, and program correctness. Also underlying theory is presented: resolution as a basic approach for propositional satisfiability, the CDCL framework to scale up for big formulas, and the simplex method to deal with linear inequallities. The light weight approach to following this course is just watching the lectures and do the corresponding quizzes. To get a flavor of the topic this may work out fine. However, the much more interesting approach is to use this as a basis to apply SAT/SMT yourself on several problems, for instance on the problems presented in the honor's assignment....
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Intermediate Level

中級

Clock

Approx. 11 hours to complete

建議:7 hours/week...
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English

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Globe

100% 在線課程

立即開始,按照自己的計劃學習。
Calendar

可靈活調整截止日期

根據您的日程表重置截止日期。
Intermediate Level

中級

Clock

Approx. 11 hours to complete

建議:7 hours/week...
Comment Dots

English

字幕:English...

教學大綱 - 您將從這門課程中學到什麼

Week
1
Clock
完成時間為 1 小時

SAT/SMT basics, SAT examples

This module introduces SAT (satisfiability) and SMT (SAT modulo theories) from scratch, and gives a number of examples of how to apply SAT....
Reading
6 個視頻(共 58 分鐘), 2 個閱讀材料, 3 個測驗
Video6 個視頻
Introduction to SAT7分鐘
SMT syntax and tools11分鐘
Eight queens problem9分鐘
Binary Arithmetic: addition10分鐘
Binary Arithmetic: multiplication12分鐘
Reading2 個閱讀材料
Examples from the lecture10分鐘
Eight queens formula in SMT syntax10分鐘
Quiz3 個練習
Truth table2分鐘
Carries in binary addition2分鐘
Binary multiplication2分鐘
Week
2
Clock
完成時間為 17 小時

SMT applications

This module shows a number of applications of satisfiability modulo the theory of linear inequalities (SMT)...
Reading
4 個視頻(共 33 分鐘), 2 個閱讀材料, 7 個測驗
Video4 個視頻
Solving Sudoku7分鐘
Scheduling8分鐘
Bounded model checking8分鐘
Reading2 個閱讀材料
Sudoku formula in SMT 2 format10分鐘
Introduction10分鐘
Quiz7 個練習
Rectangle fitting2分鐘
Scheduling2分鐘
Bounded Model Checking2分鐘
Filling trucks for a magic factory分鐘
A sudoku variant分鐘
Job scheduling分鐘
Program correctness分鐘
Week
3
Clock
完成時間為 1 小時

Theory and algorithms for CNF-based SAT

This module describes how a rule called Resolution serves to determine whether a propositional formula in conjunctive normal form (CNF) is unsatisfiable. It is shown how an approach called DPLL does the same job, and how it is related to resolution. Finally, it is shown how current SAT solvers essentially implement and optimize DPLL....
Reading
6 個視頻(共 56 分鐘), 5 個測驗
Video6 個視頻
Resolution10分鐘
Example of resolution8分鐘
DPLL10分鐘
Transforming DPLL to resolution9分鐘
CDCL basics11分鐘
CDCL optimizations6分鐘
Quiz5 個練習
Resolution2分鐘
apply resolution2分鐘
DPLL2分鐘
DPLL to resolution2分鐘
CDCL basics分鐘
Week
4
Clock
完成時間為 1 小時

Theory and algorithms for SAT/SMT

This module consists of two parts. The first part is about transforming arbitrary propositional formulas to CNF, leading to the Tseitin transformation doing this job such that the size of the transformed formula is linear in the size of the original formula. The second part is about extending SAT to SMT, in particular to dealing with linear inequalities. It is shown how the Simplex method for linear optimization serves for this job; the Simplex method itself is explained in detail....
Reading
6 個視頻(共 55 分鐘), 4 個測驗
Video6 個視頻
The Tseitin transfomation10分鐘
Introduction to the Simplex method7分鐘
Optimizing by the Simplex method11分鐘
Checking feasibility by the Simplex method8分鐘
The Simplex method and SMT8分鐘
Quiz4 個練習
Transforming a propositional formula to CNF分鐘
The Tseitin transfomation分鐘
Slack form分鐘
Optimizing by the Simplex method分鐘

講師

Hans Zantema

prof.dr.
Department of Mathematics and Computer Science

關於 EIT Digital

EIT Digital is a pan-European education and research-based open innovation organization founded on excellence. Its mission is to foster digital technology innovation and entrepreneurial talent for economic growth and quality of life. By linking education, research and business, EIT Digital empowers digital top talents for the future. EIT Digital provides online "blended" Innovation and Entrepreneurship education to raise quality, increase diversity and availability of the top-level content provided by 20 reputable universities of technology around Europe. The universities all together deliver a unique blend of the best of technical excellence and entrepreneurial skills and mindset to digital engineers and entrepreneurs at all stages of their careers. The academic partners support Coursera’s bold vision to enable anyone, anywhere, to transform their lives by accessing the world’s best learning experience. This means that EIT Digital gradually shares parts of its entrepreneurial and academic education programmes to demonstrate its excellence and make it accessible to a much wider audience. EIT Digital’s online education portfolio can be used as part of blended education settings, in both Master and Doctorate programmes, and for professionals as a way to update their knowledge. EIT Digital offers an online programme in 'Internet of Things through Embedded Systems'. Achieving all certificates of the online courses and the specialization provides an opportunity to enroll in the on campus program and get a double degree. These are the courses in the online programme: ...

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