Theory of Computing 2018 2019 — различия между версиями
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| − | ! Summary !! Problem list | + | ! Date !! Summary !! Problem list |
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| − | || Time and space hierarchy theorems (see also Sipser Section 9.1) || [ ] | + | || 3-9-2018 || Time and space hierarchy theorems (see also Sipser Section 9.1) || [https://www.dropbox.com/s/cbecvz598e4l3zo/prob_1.pdf?dl=0 Problem list 1 ] |
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| − | || Complexity class NP. Examples. Inclusions between P, NP and EXP. Non-deterministic TMs. Another definition of NP. Complexity class NEXP. Polynomial reductions, their properties. NP-hardness and NP-completeness, their properties. NP-completeness: CIRC-SAT, 3-SAT. || [http://www.mi.ras.ru/~podolskii/files/computability/prob_2.pdf Problem list 2] | + | || Complexity class NP. Examples. Inclusions between P, NP and EXP. Non-deterministic TMs. Another definition of NP. Complexity class NEXP. Polynomial reductions, their properties. NP-hardness and NP-completeness, their properties. NP-completeness: CIRC-SAT, 3-SAT. || |
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| + | [http://www.mi.ras.ru/~podolskii/files/computability/prob_2.pdf Problem list 2] | ||
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|| NP-completeness: NAE-3-SAT, Exactly-1-3-SAT, IND-SET, Subset-SUM, 3-COLORING. || [http://www.mi.ras.ru/~podolskii/files/computability/prob_3.pdf Problem list 3] | || NP-completeness: NAE-3-SAT, Exactly-1-3-SAT, IND-SET, Subset-SUM, 3-COLORING. || [http://www.mi.ras.ru/~podolskii/files/computability/prob_3.pdf Problem list 3] | ||
Версия 17:32, 4 сентября 2018
General Information
Dates and Deadlines
Course Materials
| Date | Summary | Problem list |
|---|---|---|
| 3-9-2018 | Time and space hierarchy theorems (see also Sipser Section 9.1) | Problem list 1 |
| Complexity class NP. Examples. Inclusions between P, NP and EXP. Non-deterministic TMs. Another definition of NP. Complexity class NEXP. Polynomial reductions, their properties. NP-hardness and NP-completeness, their properties. NP-completeness: CIRC-SAT, 3-SAT. |
In the first lectures, we follow Sipser's book Introduction to the theory of computation.
