Theory of Computing — различия между версиями
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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] | ||
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+ | || Space complexity. Classes PSPACE and NPSPACE. Configuration graph. Inclusions between time and space classes. TQBF problem, its PSPACE-completeness. PSPACE = NPSPACE. NSPACE(s(n)) � | ||
+ | SPACE(s(n)^2) (additional material). Interpretation of PSPACE in terms of games. || [http://www.mi.ras.ru/~podolskii/files/computability/prob_4.pdf Problem list 4] | ||
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Версия 11:32, 28 сентября 2017
General Information
Course materials
Summary | Problem list |
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Complexity classes P, PSPACE, EXP. Time and space hierarchy theorems (see also Sipser Section 9.1) | Problem list 1 Updated: 11.09.17 |
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. | Problem list 2 |
NP-completeness: NAE-3-SAT, Exactly-1-3-SAT, IND-SET, Subset-SUM, 3-COLORING. | Problem list 3 |
Space complexity. Classes PSPACE and NPSPACE. Configuration graph. Inclusions between time and space classes. TQBF problem, its PSPACE-completeness. PSPACE = NPSPACE. NSPACE(s(n)) �
SPACE(s(n)^2) (additional material). Interpretation of PSPACE in terms of games. || Problem list 4 |
Homework
Send homework assignments by email to posobin+hw[at]gmail.com, or submit them in person to one of the teachers or the teaching assistant (Gleb Posobin) before the deadline.
Office hours
Person | Monday | Tuesday | Wednesday | Thursday | Friday | |
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Vladimir Podolskii | 16:40–18:00, room 621 | ||||
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Bruno Bauwens | 15:05–18:00, room 620 | 15:05–18:00, room 620 |