Media Storage Type : 64 GB USB Stick
NPTEL Subject Matter Expert : Prof. S. Arun Kumar
NPTEL Co-ordinating Institute : IIT Delhi
NPTEL Lecture Count : 39
NPTEL Course Size : 31 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
Lecture 1 - Introduction
Lecture 2 - Propositional Logic Syntax
Lecture 3 - Semantics of Propositional Logic
Lecture 4 - Logical and Algebraic Concepts
Lecture 5 - Identities and Normal forms
Lecture 6 - Tautology Checking
Lecture 7 - Propositional Unsatisfiability
Lecture 8 - Analytic Tableaux
Lecture 9 - Consistency and Completeness
Lecture 10 - The Completeness Theorem
Lecture 11 - Maximally Consistent Sets
Lecture 12 - Formal Theories
Lecture 13 - Proof Theory : Hilbert-style
Lecture 14 - Derived Rules
Lecture 15 - The Hilbert System : Soundness
Lecture 16 - The Hilbert System : Completeness
Lecture 17 - Introduction to Predicate Logic
Lecture 18 - The Semantic of Predicate Logic
Lecture 19 - Subsitutions
Lecture 20 - Models
Lecture 21 - Structures and Substructures
Lecture 22 - First-Order Theories
Lecture 23 - Predicate Logic: Proof Theory (Continued...)
Lecture 24 - Existential Quantification
Lecture 25 - Normal Forms
Lecture 26 - Skalemization
Lecture 27 - Substitutions and Instantiations
Lecture 28 - Unification
Lecture 29 - Resolution in FOL
Lecture 30 - More on Resolution in FOL
Lecture 31 - Resolution : Soundness and Completeness
Lecture 32 - Resolution and Tableaux
Lecture 33 - Completeness of Tableaux Method
Lecture 34 - Completeness of the Hilbert System
Lecture 35 - First-Order Theories
Lecture 36 - Towards Logic Programming
Lecture 37 - Verification of Imperative Programs
Lecture 38 - Verification of WHILE Programs
Lecture 39 - References