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Lecture
Turing Machines: Recursive Languages
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Universal Turing Machine: Definition and Functioning
Explores the universal Turing machine, its canonical representation, and its role in defining algorithms and theoretical computer science concepts.
Regular Expressions: Basics and Applications
Introduces regular expressions, covering language sets, syntax, semantics, and limitations.
Halting Problem: Unsolvable Problems
Explores the unsolvability of the halting problem in algorithms and the limitations of procedures in determining program halting.
Operations on Formal Languages
Covers formal languages, operations like union and concatenation, and the Kleene star operation.
Formal Definition of Turing Machines
Explores the theoretical definition of computation and introduces Turing machines.
Computational Complexity: Theory and Applications
Explores computational complexity, NP-completeness, and polynomial reductions in theoretical computer science.
Voristicand Characterization of KL Divergences
Explores exploration bias and generalization bound in KL divergences, emphasizing mathematical proofs and implications.
Cyclic Sequences: Counting and Equivalence
Explores linear and cyclic sequences, counting methods, and Mobius inversion formula.
Stack Automata: Formal Definition
Covers the formal definition and properties of stack automata.
Turing Machine Example: Testing for Even Numbers
Demonstrates a Turing machine testing for even numbers using binary input.