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Lecture
Universal Turing Machine: Definition and Functioning
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Recursive Enumerability: Turing Machines and Undecidable Languages
Covers recursively enumerable languages, Turing machines, and the construction of undecidable languages.
Formal Definition of Turing Machines
Explores the theoretical definition of computation and introduces Turing machines.
Undecidability: Recursive Languages and Turing Machines
Explores undecidability through recursive languages, Turing machines, and the halting problem.
Turing Machine Example: Testing for Even Numbers
Demonstrates a Turing machine testing for even numbers using binary input.
Theory of Computability: Solvability and Complexity
Explores the theory of computability, decision problems, complexity classes, and the 'P vs. NP' conundrum.
Turing Machines: Decidability and Recursion Theory
Explores decidability in Turing machines and recursive languages.
Halting Problem: Unsolvable Problems
Explores the unsolvability of the halting problem in algorithms and the limitations of procedures in determining program halting.
Turing Machines: Recursive Languages
Explores Turing machines, recursive languages, and decidability in the theory of computation.
Theory of Computability and Halting Problem
Covers the theory of computability and the halting problem in algorithms.
Undecidability: Part 1
Introduces undecidability in recursive languages and Turing machines, showing languages without algorithmic recognition.