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Theory of Computation

Theory of Computation (ArsDigita University). Instructor: Shai Simonson. A theoretical treatment of what can be computed and how fast it can be done. Applications to compilers, string searching, and control circuit design will be discussed. The hierarchy of finite state machines, pushdown machines, context free grammars and Turing machines will be analyzed, along with their variations. The notions of decidability, complexity theory and a complete discussion of NP-Complete problems round out the course. (from ADUni.org)

Lecture 01 - Finite State Machines
Lecture 02 - Closure and Nondeterminism
Lecture 03 - The Pumping Lemma
Lecture 04 - Minimizing FSMs
Lecture 05 - Recitation 1
Lecture 06 - Context Free Languages
Lecture 07 - CFLs and Compilers
Lecture 08 - Recitation 2
Lecture 09 - Pushdown Machines
Lecture 10 - Recitation 3
Lecture 11 - CFGs and NPDMs
Lecture 12 - More lemmas, CYK
Lecture 13 - Undecidability and CFLs
Lecture 14 - Recitation 4
Lecture 15 - The Bullseye
Lecture 16 - Turing Machines
Lecture 17 - Recitation 5
Lecture 18 - The Halting Problem
Lecture 19 - Decidability
Lecture 20 - Complexity Theory, Quantified Boolean Formula
Lecture 21 - Savitch's Theorem, Space Hierarchy
Lecture 22 - Decidability/Complexity Relationship, Recursion Theorem

References
Theory of Computation
Instructor: Shai Simonson. Course Description. Lecture and Courseware. Student Evaluations. A theoretical treatment of what can be computed and how fast it can be done.