Theory of Computing — различия между версиями

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(Course materials)
(Course materials)
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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))
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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)) is in 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]
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

Grading

Course materials

Summary Problem list
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)) is in 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
1
Vladimir Podolskii 16:40–18:00, room 621
2
Bruno Bauwens 15:05–18:00, room 620 15:05–18:00, room 620