• Post category:Udemy (June 2022)
  • Reading time:4 mins read


Computational Complexity

What you will learn

Understand the basics of Computational Theory

Apply the knowledge of Computational complexity on different problems

Understand the basics of Complexity Theory

Apply the acquired knowledge of Complexity classes on Real Time Applications

Description

This course gives a basic idea about various languages such as decidable, undecidable, recursive, and recursively enumerable languages. Decidable language and its examples are explained. The differences between the languages are mentioned. It discusses problems and theorems based on the languages specified. A famous theorem called the Rice theorem is discussed along with its main property called Non-Trivial Property. A non-trivial property is a very important one in order to state the rice theorem. In the explanation of the Rice theorem, two theorems are discussed and explained in a detailed manner. Few quizzes and question and answer sections are given to improve the knowledge on the same. A problem called Post correspondence problem which is undecidable that is explained in a detailed way. The modified version of the Post correspondence problem is called MPCP which is also discussed in this course. The conversion of MPCP to PCP is explained. The step-by-step conversion with an example is explained in the lecture. How the Post Correspondence Problem is called Undecidable is also discussed. The closure properties and their relations are discussed. At last, classes under complexity theory such as P, NP, NP-Hard, and NP-Complete are clearly explained. The differences between the classes are elaborated in an understandable way.


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English
language

Content

Introduction to Computational Languages

Introduction
Undecidable Language
Halting Problem
Computational Theory

Rice Theorem

Introduction to Rice Theorem
Non-Trivial Property
Exmaples
Explanation of Rice Theorem

Post Correspondence Problem

Introduction to PCP
PCP
PCP Problems
MPCP
MPCP to PCP – Part 1
MPCP to PCP – Part 2
PCP

Recursively Enumerable Language and Closure Properties

Recursively Enumerable Language
Closure Properties
Languages and Properties

Complexity Theory

Introduction to Complexity Theory – Part 1
Introduction to Complexity Theory – Part 2
Complexity Classes
P and NP
NP hard and NP Complete
Satisfiability Problem – Part 1
Satisfiability Problem – Part 2
Complexity Classes