關於此課程：This course is an introduction to Logic from a computational perspective. It shows how to encode information in the form of logical sentences; it shows how to reason with information in this form; and it provides an overview of logic technology and its applications - in mathematics, science, engineering, business, law, and so forth.
此課程適用人群：The course was originally designed for use at the college level. However, experience has shown that it works for secondary school students as well, and it can be used at the start of graduate school for those who have not yet seen the material. There are just two prerequisites. The course presumes that the student understands sets and set operations, such as union, intersection, and so forth. It also presumes that the student is comfortable with symbolic manipulation, as used, for example, in solving high-school algebra problems. Nothing else is required.
製作方： Stanford University
教學方： Michael Genesereth, Associate Professor
Computer Science Department
| 級別 | 中級 |
| 承諾學習時間 | 10 weeks of study, 4-8 hours/week |
| 語言 | English, 字幕：Chinese (Simplified), Greek, Portuguese (Brazilian), German, Turkish, Spanish, Polish |
| 如何通過 | 通過所有計分作業以完成課程。 |
| 用戶評分 |
授課大綱
第 1 週
Lesson 1 - Introduction
13 個項目
- LTI Item: Section 1.1 - Introduction
- LTI Item: Section 1.2 - Sorority World
- LTI Item: Section 1.3 - Logical Sentences
- LTI Item: Section 1.4 - Logical Entailment
- LTI Item: Section 1.5 - Logical Proofs
- LTI Item: Section 1.6 - Formalization
- LTI Item: Section 1.7 - Automation
- LTI Item: Section 1.8 - Study Guide
- LTI Item: Alice in Wonderland
已評分: Exercise 1.1
已評分: Exercise 1.2
已評分: Exercise 1.3
已評分: Exercise 1.4
第 2 週
Lesson 2 - Propositional Logic
1 個視頻
- LTI Item: Section 2.1 - Introduction
- LTI Item: Section 2.2 - Syntax
- LTI Item: Section 2.3 - Semantics
- LTI Item: Section 2.4 - Evaluation
- LTI Item: Section 2.5 - Satisfaction
- LTI Item: Section 2.6 - Natural Language
- LTI Item: Section 2.7 - Digital Circuits
已評分: Exercise 2.1
已評分: Exercise 2.2
已評分: Exercise 2.3
已評分: Exercise 2.4
已評分: Exercise 2.5
已評分: Exercise 2.6
已評分: Exercise 2.7
Lesson 3 - Propositional Analysis
14 個項目
- LTI Item: Section 3.1 - Introduction
- LTI Item: Section 3.2 - Logical Properties
- LTI Item: Section 3.3 - Logical Equivalence
- LTI Item: Section 3.4 - Logical Entailment
- LTI Item: Section 3.5 - Logical Consistency
- LTI Item: Section 3.6 - Properties and Relationships
- LTI Item: Whodunnit
- LTI Item: Digital Circuits
已評分: Exercise 3.1
已評分: Exercise 3.2
已評分: Exercise 3.3
已評分: Exercise 3.4
已評分: Exercise 3.5
已評分: Exercise 3.6
第 3 週
Lesson 4 - Propositional Proofs
20 個項目
- LTI Item: Section 4.1 - Propositional Proofs
- LTI Item: Section 4.2 - Linear Reasoning
- LTI Item: Section 4.3 - Hypothetical Reasoning
- LTI Item: Section 4.4 - Fitch
- LTI Item: Section 4.5 - Reasoning Tips
- LTI Item: Section 4.6 - Soundness and Completeness
已評分: Exercise 4.1
已評分: Exercise 4.2
已評分: Exercise 4.3
已評分: Exercise 4.4
已評分: Exercise 4.5
已評分: Exercise 4.6
已評分: Exercise 4.7
已評分: Exercise 4.8
已評分: Exercise 4.9
已評分: Exercise 4.10
已評分: Exercise 4.11
已評分: Exercise 4.12
已評分: Exercise 4.13
已評分: Exercise 4.14
第 4 週
Lesson 5 - Propositional Resolution
1 個視頻
- LTI Item: Section 5.1 - Propositional Resolution
- LTI Item: Section 5.2 - Clausal Form
- LTI Item: Section 5.3 - Resolution Principle
- LTI Item: Section 5.4 - Resolution Reasoning
已評分: Exercise 5.1
已評分: Exercise 5.2
已評分: Exercise 5.3
已評分: Exercise 5.4
第 5 週
Lesson 6 - Relational Logic
19 個項目
- LTI Item: Section 6.1 - Introduction
- LTI Item: Section 6.2 - Syntax
- LTI Item: Section 6.3 - Semantics
- LTI Item: Section 6.4 - Evaluation
- LTI Item: Section 6.5 - Satisfaction
- LTI Item: Section 6.6 - Sorority World
- LTI Item: Section 6.7 - Blocks World
- LTI Item: Section 6.8 - Modular Arithmetic
- LTI Item: Section 6.9 - Logical Properties
- LTI Item: Section 6.10 - Logical Entailment
- LTI Item: Section 6.11 - Relational Logic and Propositional Logic
- LTI Item: Cartoon - Logicians
已評分: Exercise 6.1
已評分: Exercise 6.2
已評分: Exercise 6.3
已評分: Exercise 6.4
已評分: Exercise 6.5
已評分: Exercise 6.6
已評分: Exercise 6.7
Lesson 7 - Relational Analysis
13 個項目
- LTI Item: Section 7.1 - Introduction
- LTI Item: Section 7.2 - Truth Tables
- LTI Item: Section 7.3 - Semantic Trees
- LTI Item: Section 7.4 - Boolean Models
- LTI Item: Section 7.5 - Non-Boolean Models
- LTI Item: Sorority Life
- LTI Item: Minefinder
- LTI Item: Minefield
- LTI Item: Mineplanner
- LTI Item: Pelican Hunters
已評分: Exercise 7.1
已評分: Exercise 7.2
已評分: Exercise 7.3
第 6 週
Lesson 8 - Relational Proofs
The description goes here
15 個項目
- LTI Item: Section 8.1 - Introduction
- LTI Item: Section 8.2 - Rules of Universal Quantifiers
- LTI Item: Section 8.3 - Rules for Existential Quantifiers
- LTI Item: Section 8.4 - Domain Closure
- LTI Item: Section 8.5 - Example
- LTI Item: Section 8.6 - Example
- LTI Item: Section 8.7 - Example
已評分: Exercise 8.1
已評分: Exercise 8.2
已評分: Exercise 8.3
已評分: Exercise 8.4
已評分: Exercise 8.5
已評分: Exercise 8.6
已評分: Exercise 8.7
已評分: Exercise 8.8
第 7 週
Lesson 9 - Herbrand Logic
13 個項目
- LTI Item: Section 9.1 - Introduction
- LTI Item: Section 9.2 - Syntax and Semantics
- LTI Item: Section 9.3 - Evaluation and Satisfaction
- LTI Item: Section 9.4 - Peano Arithmetic
- LTI Item: Section 9.5 - Linked Lists
- LTI Item: Section 9.6 - Pseudo English
- LTI Item: Section 9.7 - Metalevel Logic
- LTI Item: Section 9.8 - Undecidability
已評分: Exercise 9.1
已評分: Exercise 9.2
已評分: Exercise 9.3
已評分: Exercise 9.4
已評分: Exercise 9.5
第 8 週
Lesson 10 - Herbrand Proofs
3 個項目
- LTI Item: Section 10.1 - Introduction
- LTI Item: Section 10.2 - Non-Compactness and Incompleteness
- LTI Item: Blocks World Programs
Lesson 11 - Induction
The description goes here
13 個項目
- LTI Item: Section 11.1 - Introduction
- LTI Item: Section 11.2 - Domain Closure
- LTI Item: Section 11.3 - Linear Induction
- LTI Item: Section 11.4 - Tree Induction
- LTI Item: Section 11.5 - Structural Induction
- LTI Item: Section 11.6 - Multidimensional Induction
- LTI Item: Section 11.7 - Embedded Induction
已評分: Exercise 11.1
已評分: Exercise 11.2
已評分: Exercise 11.3
已評分: Exercise 11.4
已評分: Exercise 11.5
已評分: Exercise 11.6
第 9 週
Lesson 12 - Resolution
The description goes here
19 個項目
- LTI Item: Section 12.1 - Introduction
- LTI Item: Section 12.2 - Clausal Form
- LTI Item: Section 12.3 - Unification
- LTI Item: Section 12.4 - Resolution Principle
- LTI Item: Section 12.5 - Resolution Reasoning
- LTI Item: Section 12.6 - Unsatisfiability
- LTI Item: Section 12.7 - Logical Entailment
- LTI Item: Section 12.8 - Answer Extraction
- LTI Item: Section 12.9 - Strategies
已評分: Exercise 12.1
已評分: Exercise 12.2
已評分: Exercise 12.3
已評分: Exercise 12.4
已評分: Exercise 12.5
已評分: Exercise 12.6
已評分: Exercise 12.7
已評分: Exercise 12.8
已評分: Exercise 12.9
已評分: Exercise 12.10
第 10 週
Supplementary Material
4 個項目
- LTI Item: Satisfiability
- LTI Item: Equality
- LTI Item: First-Order Logic
- LTI Item: The Herbrand Manifesto
常見問題解答
運作方式
Coursework
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製作方
Stanford University
The Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is an American private research university located in Stanford, California on an 8,180-acre (3,310 ha) campus near Palo Alto, California, United States.
評分和審閱
i loved every second of it , i'm at week 2 right now
you will learn how to think like a mathematician
Good structure. Helped a lot with my university unit. It would be great if we can get sample solutions for our exercises.
RS
Good review for those who have studied quantified logic at any level. The Fitch system is fun and easy to use - especially where it automatically cites the inference rules for you. Having done many informal inductive proofs, I found the extension of first-order logic to include induction particularly interesting - if intensely tedious in application.