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Course Queries Syllabus Queries 2 years ago
Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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As TAs in an undergrad course on computational models, every year we are faced with a dilemma of what material to teach in the last few weeks of the course.
To be specific, our typical syllabus is as follows (basically the first few chapters of Sipser):
Finite Automata: DFA, NFA, determinization, Myhill-Nerode, etc.
Turing Machines: computability (RE,R, mapping-reductions, undecidability results).
Complexity classes: P, NP, PSPACE, karp-reductions, Savitch's theorem, Time/Space Hierarchy theorems.
Now comes the question of what to do next (usually we have about 3 weeks left).
Option 1: NL, coNL, logspace reductions and the Immerman Zzelepcsényi theorem.
Option 2: Randomized complexity (RP, BPP), but in a very low level, since probability is not a prerequisite for the course.
Option 3: Communication complexity - describing a communication model with some very initial results, describing IP and trying to prove
If I'm a student, I would've liked to learn more about other computational models (primarily, lambda calculus and recursive functions). More and more programming languages are incorporating functional features, and learning these subjects would give a great insight into this perspective of thinking about computation.
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