課程資訊
課程名稱
應用數學邏輯特論
Special Topics on Applied Mathematical Logic 
開課學期
100-2 
授課對象
電機資訊學院  電子工程學研究所  
授課教師
江介宏 
課號
EEE5034 
課程識別碼
943 U0360 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期一2,3,4(9:10~12:10) 
上課地點
電二104 
備註
與王柏堯合開
總人數上限:50人 
 
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課程概述

Course outline.
1. Introduction to mathematical logic
2. Sentential logic
3. First-order logic
4. Undecidability
5. Logic in computer science and verification
6. Propositional proof procedures
7. First-order proof procedures
8. Solving logical equations
9. Optimization methods for logical inference
10. Efficient implementations of decision procedures
 

課程目標
Mathematical logic lays the foundation of mathematics, and has pervasive applications in computer science, such as programming language, hardware/software verification and synthesis, artificial intelligence, etc. Unfortunately it has been missing from the curriculums of major universities in Taiwan. This course aims at introducing the fundamental elements of mathematical logic and at covering selected applications in computer science.

 
課程要求
Homework 30%
Midterm exam 25%
Final exam 25%
Project 20%


Prerequisite:
Discrete Mathematics

 
預期每週課後學習時數
 
Office Hours
 
指定閱讀
 
參考書目
Textbook: H. Enderton, A Mathematical Introduction to Logic, Academic Press, 2002.
V. Chandru and J. Hooker, Optimization Methods for Logical Inference, John Wiley & Sons, Inc., 1999.

Reference: M. Fitting, First-Order Logic and Automated Theorem Proving, Springer, 1996.

 
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