Theory of Computing 2018 2019 — различия между версиями
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|| 3/9 || Time and space hierarchy theorems (see also Sipser Section 9.1) || [http://www.mi.ras.ru/~podolskii/files/computability1819/prob_1.pdf Problem list 1 ] | || 3/9 || Time and space hierarchy theorems (see also Sipser Section 9.1) || [http://www.mi.ras.ru/~podolskii/files/computability1819/prob_1.pdf Problem list 1 ] | ||
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| − | || 10/9 || Complexity class NP. Examples. Inclusions between P, NP and EXP. Non-deterministic TMs. Another definition of NP. Polynomial reductions, their properties. NP-hardness and NP-completeness, their properties. || [http://www.mi.ras.ru/~podolskii/files/computability1819/prob_2.pdf Problem list 2 ] | + | || 10/9 || Complexity class NP. Examples. Inclusions between P, NP and EXP. Non-deterministic TMs. Another definition of NP. Polynomial reductions, their properties. NP-hardness and NP-completeness, their properties. || [http://www.mi.ras.ru/~podolskii/files/computability1819/prob_2.pdf Problem list 2 ] |
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| + | || NP-completeness: Circuit-SAT, 3-SAT, NAE-3-SAT, IND-SET || [https://www.dropbox.com/s/8nisqdaia715ib0/prob_3.pdf?dl=0 Problem list 3] | ||
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[http://www.mi.ras.ru/~podolskii/files/computability/prob_2.pdf Problem list 2] | [http://www.mi.ras.ru/~podolskii/files/computability/prob_2.pdf Problem list 2] | ||
Версия 19:47, 18 сентября 2018
General Information
Dates and Deadlines
Course Materials
| Date | Summary | Problem list |
|---|---|---|
| 3/9 | Time and space hierarchy theorems (see also Sipser Section 9.1) | Problem list 1 |
| 10/9 | Complexity class NP. Examples. Inclusions between P, NP and EXP. Non-deterministic TMs. Another definition of NP. Polynomial reductions, their properties. NP-hardness and NP-completeness, their properties. | Problem list 2 |
| NP-completeness: Circuit-SAT, 3-SAT, NAE-3-SAT, IND-SET | Problem list 3 |
In the first lectures, we follow Sipser's book Introduction to the theory of computation, chapters 7-9.
