About this course: 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.
Who is this class for: 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.
Created by: Stanford University
Taught by: Michael Genesereth, Associate Professor
Computer Science Department
| Level | Intermediate |
| Commitment | 10 weeks of study, 4-8 hours/week |
| Language | English, Subtitles: Chinese (Simplified), Greek, Portuguese (Brazilian), German, Turkish, Spanish, Polish |
| How To Pass | Pass all graded assignments to complete the course. |
| User Ratings |
Syllabus
WEEK 1
Lesson 1 - Introduction
13 items
- 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
Graded: Exercise 1.1
Graded: Exercise 1.2
Graded: Exercise 1.3
Graded: Exercise 1.4
WEEK 2
Lesson 2 - Propositional Logic
1 video
- 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
Graded: Exercise 2.1
Graded: Exercise 2.2
Graded: Exercise 2.3
Graded: Exercise 2.4
Graded: Exercise 2.5
Graded: Exercise 2.6
Graded: Exercise 2.7
Lesson 3 - Propositional Analysis
14 items
- 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
Graded: Exercise 3.1
Graded: Exercise 3.2
Graded: Exercise 3.3
Graded: Exercise 3.4
Graded: Exercise 3.5
Graded: Exercise 3.6
WEEK 3
Lesson 4 - Propositional Proofs
20 items
- 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
Graded: Exercise 4.1
Graded: Exercise 4.2
Graded: Exercise 4.3
Graded: Exercise 4.4
Graded: Exercise 4.5
Graded: Exercise 4.6
Graded: Exercise 4.7
Graded: Exercise 4.8
Graded: Exercise 4.9
Graded: Exercise 4.10
Graded: Exercise 4.11
Graded: Exercise 4.12
Graded: Exercise 4.13
Graded: Exercise 4.14
WEEK 4
Lesson 5 - Propositional Resolution
1 video
- 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
Graded: Exercise 5.1
Graded: Exercise 5.2
Graded: Exercise 5.3
Graded: Exercise 5.4
WEEK 5
Lesson 6 - Relational Logic
19 items
- 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
Graded: Exercise 6.1
Graded: Exercise 6.2
Graded: Exercise 6.3
Graded: Exercise 6.4
Graded: Exercise 6.5
Graded: Exercise 6.6
Graded: Exercise 6.7
Lesson 7 - Relational Analysis
13 items
- 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
Graded: Exercise 7.1
Graded: Exercise 7.2
Graded: Exercise 7.3
WEEK 6
Lesson 8 - Relational Proofs
The description goes here
15 items
- 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
Graded: Exercise 8.1
Graded: Exercise 8.2
Graded: Exercise 8.3
Graded: Exercise 8.4
Graded: Exercise 8.5
Graded: Exercise 8.6
Graded: Exercise 8.7
Graded: Exercise 8.8
WEEK 7
Lesson 9 - Herbrand Logic
13 items
- 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
Graded: Exercise 9.1
Graded: Exercise 9.2
Graded: Exercise 9.3
Graded: Exercise 9.4
Graded: Exercise 9.5
WEEK 8
Lesson 10 - Herbrand Proofs
3 items
- 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 items
- 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
Graded: Exercise 11.1
Graded: Exercise 11.2
Graded: Exercise 11.3
Graded: Exercise 11.4
Graded: Exercise 11.5
Graded: Exercise 11.6
WEEK 9
Lesson 12 - Resolution
The description goes here
19 items
- 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
Graded: Exercise 12.1
Graded: Exercise 12.2
Graded: Exercise 12.3
Graded: Exercise 12.4
Graded: Exercise 12.5
Graded: Exercise 12.6
Graded: Exercise 12.7
Graded: Exercise 12.8
Graded: Exercise 12.9
Graded: Exercise 12.10
WEEK 10
Supplementary Material
4 items
- LTI Item: Satisfiability
- LTI Item: Equality
- LTI Item: First-Order Logic
- LTI Item: The Herbrand Manifesto
FAQs
How It Works
Trabajo del curso
Cada curso es como un libro de texto interactivo, con videos pregrabados, cuestionarios y proyectos.
Ayuda de tus compañeros
Conéctate con miles de estudiantes y debate ideas y materiales del curso, y obtén ayuda para dominar los conceptos.
Certificados
Obtén reconocimiento oficial por tu trabajo y comparte tu éxito con amigos, compañeros y empleadores.
Creators
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.
Ratings and Reviews
A pain if completing this course when the session not started yet. Without forum talking about solutions to exercise, usually in some exercises you could only stare at the screen for several hours, fell in deep despair, and eventually came up an answer by luck. Not a good experience, but the material is good though, if not considering the difficutly of understanding the text in the later lessons
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.
i loved every second of it , i'm at week 2 right now
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JS
This course was so helpful. I think I now understand the fundamentals of mathematical logic. I truly recommend this course to anyone who is interested in studying logic!