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Course Description

Computer logic is an aspect of computer design concerning the fundamental operations and structures upon which all computer systems are built.

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Course Syllabus
  • Mod-01 Lec-01 Introduction
  • Mod-01 Lec-02 Propositional Logic Syntax
  • Mod-01 Lec-03 Semantics of Propositional Logic
  • Mod-01 Lec-04 Logical and Algebraic Concepts
  • Mod-01 Lec-05 Identities and Normal forms
  • Mod-01 Lec-06 Tautology Checking
  • Mod-01 Lec-07 Propositional Unsatisfiability
  • Mod-01 Lec-08 Analytic Tableaux
  • Mod-01 Lec-09 Consistency and Completeness
  • Mod-01 Lec-10 The Completeness Theorem
  • Mod-01 Lec-11 Maximally Consistent Sets
  • Mod-01 Lec-12 Formal Theories
  • Mod-01 Lec-13 Proof Theory : Hilbert-style
  • Mod-01 Lec-14 Derived Rules
  • Mod-01 Lec-15 The Hilbert System : Soundness
  • Mod-01 Lec-16 The Hilbert System :Completeness
  • Mod-01 Lec-17 Introduction to Predicate Logic
  • Mod-01 Lec-18 The Semantic of Predicate Logic
  • Mod-01 Lec-19 Subsitutions
  • Mod-01 Lec-20 Models
  • Mod-01 Lec-21 Structures and Substructures
  • Mod-01 Lec-22 First - Order Theories
  • Mod-01 Lec-23 Predicate Logic: Proof Theory (Contd..)
  • Mod-01 Lec-24 Existential Quantification
  • Mod-01 Lec-25 Normal Forms
  • Mod-01 Lec-26 Skalemization
  • Mod-01 Lec-27 Substitutions and Instantiations
  • Mod-01 Lec-28 Unification
  • Mod-01 Lec-29 Resolution in FOL
  • Mod-01 Lec-30 More on Resolution in FOL
  • Mod-01 Lec-31 Resolution : Soundness and Completeness
  • Mod-01 Lec-32 Resolution and Tableaux
  • Mod-01 Lec-33 Completeness of Tableaux Method
  • Mod-01 Lec-34 Completeness of the Hilbert System
  • Mod-01 Lec-35 First -Order Theories
  • Mod-01 Lec-36 Towards Logic Programming
  • Mod-01 Lec-37 Verification of Imperative Programs
  • Mod-01 Lec-38 Verification of WHILE Programs
  • Mod-01 Lec-39 References

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