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Trainer Name

Michael Genesereth

Skill Area

Personal Development

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Course Requirements

No requirement

Course Description

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.

Course Outcomes

1. Relational Algebra
2. Problem Solving
3. Propositional Calculus
4. Mathematical Logic

Course Curriculum

1 Introduction to Logic


2 Elements of Logic


3 Formalization


4 Automation


5 Study Guide


6 Propositional Logic


7 Syntax of Propositional Logic


8 Semantics of Propositional Logic


9 Satisfaction


10 Properties of Sentences


11 Logical Entailment


12 The Big Game


13 Propositional Proofs


14 Linear Proofs


15 Structured Proofs


16 Fitch


17 Soundness and Completeness


18 Propositional Resolution


19 Clausal Form


20 Resolution Principle


21 Resolution Method


22 Box Logic


23 Propositional Satisfiability


24 Herbrand Logic


25 Syntax


26 Semantics


27 Example - Sorority World


28 Example - Blocks World


29 Example - Modular Arithmetic


30 Example - Peano Arithmetic


31 Example Linked Lists


32 Example - Pseudo-English


33 Example - Metalevel Logic


34 Properties of Sentences


35 Logical Entailment


36 (Optional) Finite Relational Logic


37 (Optional) Omega Relational Logic


38 (Optional) General Relational Logic


39 Herbrand Logic Proofs


40 Proofs


41 Example


42 Example


43 Example - Quantifier and Implication


44 Resolution


45 Clausal Form


46 Unification


47 Resolution Principle


48 Resolution Principle


49 Resolution Reasoning


50 Unsatisfiability


51 Logical Entailment


52 Answer Extraction


53 Induction


54 Domain Closure


55 Linear Induction


56 Tree Induction


57 Structural Induction


58 First Order Logic


59 Conceptualization


60 Syntax and Semantics


61 Example Blocks World


62 Example Peano Arithmetic


63 Properties of Sentences


64 Logical Entailment


65 First Order Proofs


66 Examples Equality


67 Example Arithmetic


68 General Game Playing


69 Game Description


70 Game Management


71 General Game Playing


72 Philosophical Remarks


73 International GGP Competition


Trainer

Trainer Name

Michael Genesereth

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