Source: course, slides.

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Turing Machines
Turing Thesis
Variations of Turing Machines
Universal Turing Machine
Recursive and Recusrvively Enumerable Languages
Chomsky's Hierarchy, Decidability
Decidability
The Post-Correspondence Problem
Other Models of Computation, Computational Complexity

newer:

Turing Machines
Turing Thesis, Variations of Turing Machines
Universal Turing Machines
Recursive and Recursively Enumerable Languages
Chomsky's Hierarchy, Decidability
Decidability
The Post-Correspondence Problem
Time Complexity
NP-completeness, NP-completeness