Complete Course Syllabus
Halting Problem in Turing Machines and Decidability
Introduction to the Halting Problem
Formal Definition of the Halting Problem
Proof of Undecidability
Implications for Algorithm Design
Halting Problem Variants
Practical Limitations of Solvability
Relationship to Gödel's Incompleteness Theorems
Applications in Software Verification
Halting Problem and Security
Current Research and Open Problems
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