Theory of Computing 2018 2019
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Версия от 21:03, 2 октября 2018; Bbauwens (обсуждение | вклад)
General Information
Send your home assignments only in pdf format to the teacher assistant (Andrey Storozhenko) by email (storozhenkoaa [at] yandex.ru) with the following subject: "[Computing, Name Surname, HWx]". You can also submit them in person before the deadline.
Dates and Deadlines
Homework 1, deadline: 2 Oktober, before the lecture.
Course Materials
Date | Summary | Problem list |
---|---|---|
4/9 | Time and space hierarchy theorems (see also Sipser Section 9.1) | Problem list 1 |
11/9 | 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 |
18/9 | NP-completeness: Circuit-SAT, 3-SAT, NAE-3-SAT, IND-SET | Problem list 3 |
25/9 | NP-completeness: Subset-SUM, 3COLORING | Problem list 4 |
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). | Problem list 5 |
During the first module, we follow Sipser's book Introduction to the theory of computation, chapters 7-9.
Office hours
Person | Monday | Tuesday | Wednesday | Thursday | Friday | |
---|---|---|---|---|---|---|
|
Vladimir Podolskii, room 621 | 18:00–19:00 | 16:40–18:00 | |||
|
Bruno Bauwens, room 620 | 16:40–19:00 | 15:00–18:00 |