Course10610201339 lectures
Logic for CS
Prof. S. Arun Kumar · IIT Delhi
Lectures
Module 1
- Introduction
- Propositional Logic Syntax
- Semantics of Propositional Logic
- Logical and Algebraic Concepts
- Identities and Normal forms
- Tautology Checking
- Propositional Unsatisfiability
- Analytic Tableaux
- Consistency and Completeness
- The Completeness Theorem
- Maximally Consistent Sets
- Formal Theories
- Proof Theory : Hilbert-style
- Derived Rules
- The Hilbert System : Soundness
- The Hilbert System :Completeness
- Introduction to Predicate Logic
- The Semantic of Predicate Logic
- Subsitutions
- Models
- Structures and Substructures
- First - Order Theories
- Predicate Logic: Proof Theory (Contd..)
- Existential Quantification
- Normal Forms
- Skalemization
- Substitutions and Instantiations
- Unification
- Resolution in FOL
- More on Resolution in FOL
- Resolution : Soundness and Completeness
- Resolution and Tableaux
- Completeness of Tableaux Method
- Completeness of the Hilbert System
- First -Order Theories
- Towards Logic Programming
- Verification of Imperative Programs
- Verification of WHILE Programs
- References
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Delhi
- Department
- Computer Science and Engineering
- Teacher
- Prof. S. Arun Kumar
- Level
- Undergraduate
- Language
- English
- Subjects
- Computer science, Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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