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An Introduction to Formal Logics
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Classroom Contents
Artificial Intelligence: Knowledge Representation and Reasoning
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- 1 Introduction
- 2 Introduction to Knowledge Representation and Reasoning
- 3 An Introduction to Formal Logics
- 4 Propositional Logic: Language, Semantics and Reasoning
- 5 Propositional Logic: Syntax and Truth Values
- 6 Propositional Logic: Valid Arguments and Proof Systems
- 7 Propositional Logic: Rules of Inference and Natural Deduction
- 8 Propositional Logic: Axiomatic Systems and Hilbert Style Proofs
- 9 Propositional Logic: The Tableau Method
- 10 Propositional Logic: The Resolution Refutation Method
- 11 Syntax
- 12 Semantics
- 13 Entailment and Models
- 14 Forward Chaining
- 15 Unification
- 16 Proof Systems
- 17 Forward Chaining Rule Based Systems
- 18 The Rete Algorithm
- 19 Rete Algorithm - Example
- 20 The OPS5 Expert System Shell
- 21 Programming in a Rule Based Language
- 22 Skolemization
- 23 Terminological Facts
- 24 Properties and Categories
- 25 Reification and Abstract Entities
- 26 The Event Calculus: Reasoning About Change
- 27 Resource Description Framework (RDF)
- 28 Natural Language Semantics
- 29 CD Theory
- 30 CD Theory (contd)
- 31 English to CD Theory
- 32 Natural Language Semantics
- 33 Backward Chaining
- 34 Logic Programming
- 35 Prolog
- 36 Search in Prolog
- 37 Controlling Search
- 38 The Cut Operator in Prolog
- 39 Incompleteness
- 40 M7 Lec 2 - The Resolution Refutation method for First Order Logic
- 41 Clause Form
- 42 FOL with Equality
- 43 Complexity of Resolution Refutation
- 44 The Resolution Method for FOL
- 45 Semantic Nets and Frames
- 46 Scripts
- 47 Applying Scripts
- 48 Goals, Plans and Actions
- 49 Plan Applier Mechanism
- 50 Top Down and Bottom Up Reasoning
- 51 Introduction
- 52 Normalisation
- 53 Structure Matching
- 54 Structure Matching - Example
- 55 Classification
- 56 A-box reasoning
- 57 DL: Extensions
- 58 DL: ALC
- 59 ALC examples
- 60 Taxonomies and Inheritance
- 61 Beliefs
- 62 Inheritance Hierarchies:
- 63 Event Calculus Revisited
- 64 Minimal Models
- 65 Circumscription (contd)
- 66 Circumscription
- 67 Introduction.
- 68 Circumscription in EC
- 69 Autoepistemc Logic
- 70 Defaul Logic
- 71 The Muddy Children Puzzle
- 72 Epistemic Logic