Theoretical Computer Science 2022 — различия между версиями
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[https://www.dropbox.com/s/q9afprj9wwgj7qy/5_HW.pdf?dl=0 HW5 parameterized complexity] (more will be added) | [https://www.dropbox.com/s/q9afprj9wwgj7qy/5_HW.pdf?dl=0 HW5 parameterized complexity] (more will be added) | ||
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| + | = References = | ||
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| + | '''Computational complexity''' | ||
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| + | Sipser, Introduction to the theory of computation", 3rd edition, 2013, chapters 1, 2–8. (Short and good for basic understanding.) | ||
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| + | Mertens and Moore, The Nature of Computation, 2011. (Pleasant reading, loads of interesting background, but rather large.) | ||
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| + | Arora and Barak, Computational Complexity, 2009. (Use this after you made many exercises in the above books.) | ||
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| + | '''Parameterized algorithms''' | ||
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| + | Marx and Misra, [https://www.mpi-inf.mpg.de/departments/algorithms-complexity/teaching/summer20/parameterized-algorithms Algorithms and Complexity], course website, 2020. | ||
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| + | Fomin and 7 others. Parameterized algorithms, 2015. (This is an advanced book.) | ||
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| + | '''Mathematical writing''' | ||
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| + | Sosinsky, [http://www.ega-math.narod.ru/Quant/ABS.htm Как написать математическую статью по-английски], 2000. | ||
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| + | Knuth, [https://jmlr.csail.mit.edu/reviewing-papers/knuth_mathematical_writing.pdf Technical writing], transcripts of lectures, 1987. | ||
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| + | Gillman, Writing Mathematics Well, 1987. | ||
| + | <!-- Strunk and White, [https://www.dropbox.com/s/7e6fcdpx3nubvko/strunk-white-1979-elements-of-style.pdf?dl=0 The elements of style], 1979.--> | ||
Версия 12:51, 13 апреля 2022
Classes
Wednesdays 18:10–21:00, on zoom
Teacher: Bruno Bauwens
For practical information join the telegram group
Grading
Homework: 50%
Project: 50%
Course Materials
| Video | Summary | Notes |
|---|---|---|
| 19.01 | Regular languages: (non)deterministic automata and their equivalence, pumping lemma, closure properties | lecture 1 |
| 25.01 | Turing machines and register machines | lecture 2 |
| 09.02 | undecidability of: Halting program, Wang tiling, Fractran Godel's incompleteness theorems | lecture 3.A 3.B |
| 16.02 | The classes P, EXP, PSPACE, EXPSPACE. Dynamic programming. Time and space hierarchy theorems. | seminar |
| 23.02 | Holliday | |
| 02.03 | The class NP and NP-completeness | notes |
| 02.03 | Circuits, proof of the Levin-Cook theorem (see also Mertens&Moore chapter 5), more reductions | circuits |
| 16.03 | More NP-complete problems | reductions |
| 23.03 | Games, PSPACE, Savich theorem, completeness of TQBF | pspace |
| 30.03 | Parameterized complexity I: the class FPT and kernelization | notes |
| 13.04 | Parameterized complexity II: the W-hierarchy | |
| 20.04 | Projects |
Homeworks
HW3 P, NP, hierarchy theorems, circuits
HW4 NP and PSPACE completeness
HW5 parameterized complexity (more will be added)
References
Computational complexity
Sipser, Introduction to the theory of computation", 3rd edition, 2013, chapters 1, 2–8. (Short and good for basic understanding.)
Mertens and Moore, The Nature of Computation, 2011. (Pleasant reading, loads of interesting background, but rather large.)
Arora and Barak, Computational Complexity, 2009. (Use this after you made many exercises in the above books.)
Parameterized algorithms
Marx and Misra, Algorithms and Complexity, course website, 2020.
Fomin and 7 others. Parameterized algorithms, 2015. (This is an advanced book.)
Mathematical writing
Sosinsky, Как написать математическую статью по-английски, 2000.
Knuth, Technical writing, transcripts of lectures, 1987.
Gillman, Writing Mathematics Well, 1987.
Office hours
| Person | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| Bruno Bauwens, S834, Zoom | 14:00-20:00 |
Warn me in advance by email.
