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中級

完成時間大約為9 小時

建議:9 hours/week...

英語(English)

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100% 在線

立即開始,按照自己的計劃學習。

可靈活調整截止日期

根據您的日程表重置截止日期。

中級

完成時間大約為9 小時

建議:9 hours/week...

英語(English)

字幕:英語(English)

教學大綱 - 您將從這門課程中學到什麼

1
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....
6 個視頻 (總計 58 分鐘), 2 個閱讀材料, 3 個測驗
6 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
2 個閱讀材料
Examples from the lecture10分鐘
Eight queens formula in SMT syntax10分鐘
3 個練習
Truth table2分鐘
Carries in binary addition2分鐘
Binary multiplication2分鐘
2
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)...
4 個視頻 (總計 33 分鐘), 2 個閱讀材料, 7 個測驗
4 個視頻
Solving Sudoku7分鐘
Scheduling8分鐘
Bounded model checking8分鐘
2 個閱讀材料
Sudoku formula in SMT 2 format10分鐘
Introduction10分鐘
7 個練習
Rectangle fitting2分鐘
Scheduling2分鐘
Bounded Model Checking2分鐘
Filling trucks for a magic factory
A sudoku variant
Job scheduling
Program correctness
3
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....
6 個視頻 (總計 56 分鐘), 5 個測驗
6 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
5 個練習
Resolution2分鐘
apply resolution2分鐘
DPLL2分鐘
DPLL to resolution2分鐘
CDCL basics
4
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....
6 個視頻 (總計 55 分鐘), 4 個測驗
6 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
4 個練習
Transforming a propositional formula to CNF
The Tseitin transfomation
Slack form
Optimizing by the Simplex method

講師

Avatar

Hans Zantema

prof.dr.
Department of Mathematics and Computer Science

關於 EIT 数字

EIT Digital is a pan-European organization whose 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 and blended Innovation and Entrepreneurship education to raise quality, increase diversity and availability of the top-level content provided by 20 leading technical universities around Europe. The universities 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. Please visit https://www.eitdigital.eu/eit-digital-academy/ ...

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