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Computability of Algorithms

Author: Hemant Kushwaha
Assistant Professor, Department of Computer Science & Engineering
Haridwar University, Roorkee, India

DOI

This work is archived on Zenodo and assigned a DOI:

https://doi.org/10.5281/zenodo.18995206

Overview

This repository contains academic notes explaining the concept of computability in theoretical computer science.

Topics covered include:

  • Computability of Algorithms
  • Computable vs Non-computable Problems
  • The Halting Problem
  • Turing Machine Model
  • Decidable and Undecidable Problems
  • Difference between Computability and Complexity

Purpose

These notes are designed for undergraduate and postgraduate students studying Theory of Computation and algorithms.

Applications

Computability theory forms the foundation of several areas including:

  • Artificial Intelligence
  • Cybersecurity
  • Software Verification
  • Formal Logic

License

Creative Commons CC-BY

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Academic notes on Computability of Algorithms explaining computable and non-computable problems, the Halting Problem, Turing Machine model, and decidable vs undecidable problems in Theory of Computation.

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