imported>.obj: /* Office hours */

2021-08-25T12:48:17Z

Office hours

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== Exam ==

26 Dec, 13:00–15:40, [https://zoom.us/j/97631222267 Zoom]

The exam consists of 8 questions of the same level as the homework.

You may use all course materials (seminar sheets, Sipser's book, Noam Nissan's book, etc). You are not allowed to communicate with other students and to use social network sites like Telegram, Facebook, etc. You may not use your phone except in the end of the exam to submit your work.

You must submit your answers in handwriting (exceptions can be asked at the beginning of the exam) by sending scanned or photographed copies to both lecturers.

[http://www.mi-ras.ru/~podolskii/files/computability1819/exam171222.pdf sample exam] (3 years ago, not all topics are the same, but questions 1,2,3,7 we have covered)

Please check [https://docs.google.com/spreadsheets/d/1jPl3ZcOEt4v99IhAq0bpfJW9KRTTh3w5KsNZ4NKfDME/edit?usp=sharing All grades] for the results. If you have questions, you can ask them at 11:00 on December 29 via [https://zoom.us/j/97070495314 Zoom].

== General Information ==

Classes: Tuesdays, 13:00–16:00, [https://zoom.us/j/97070495314 Zoom].

First lecture September 8.

[https://www.dropbox.com/s/suzbqo0k37blw2b/grading.pdf?dl=0 Grading]

Please send your homework to the teaching assistant, [mailto:myugolyadkin@edu.hse.ru Maxim Golyadkin].

[https://docs.google.com/spreadsheets/d/1nb4rOB5rGWtKbXRw2RovFdLiRXcKccAFc7VknN0bQIg/edit#gid=0 Grades for the homework]

[https://docs.google.com/spreadsheets/d/1jPl3ZcOEt4v99IhAq0bpfJW9KRTTh3w5KsNZ4NKfDME/edit?usp=sharing All grades]

== Dates and Deadlines ==

Homework 1, deadline: 6 October, before the lecture 
Homework 2, deadline: 3 November, before the lecture 
Homework 3, deadline: 8 December, before the lecture

The lecture starts at 13h, it is not allowed to submit after this time. However, the first time you are less than 24 hours late, the homework will still be graded.

== Colloquium ==

Dates: December 15 and 16. Choose your [https://docs.google.com/spreadsheets/d/1v_0RDvsnTRNa4IYSjOir9VYodfzzvAbJ8KHXtyy2K-M/edit#gid=0 time] 
Zoom links: go to the link above 
[https://www.dropbox.com/s/15w8s6dfkxu0cni/col.pdf?dl=0 Rules and questions]

== Course Materials ==

In the first 9 lectures, we follow Sipser's book "Introduction to the theory of computation" Chapters 3, 7, 8, 9 (not Theorem 9.15), and Section 10.2.

If you need some background in math, consider these two sourses: 
[http://www.cs.elte.hu/~lovasz/dmbook.ps Lecture notes: Discrete Mathematics], L. Lovasz, K. Vesztergombi 
[http://rubtsov.su/public/DM-HSE-Draft.pdf Лекции по дискретной математике] (черновик учебника, in Russian)

{| class="wikitable"
|-
! Date/Movie !! Summary !! Problem list
|-
|| 08.09 || Turing machines, multitape Turing machines, connection between them. Universal Turing machine. Examples. Time and space complexity. Complexity classes P, PSPACE, EXP. || [https://www.dropbox.com/s/2qwd0cqe1qhdzve/prob_01.pdf?dl=0 Problem list 1 ]
|-
|| 15.09 || Time and space hierarchy theorem. Time and space constructible functions. || [https://www.dropbox.com/s/knbvqjuvkuafvlq/prob_02.pdf?dl=0 Problem list 2] Update 15.09, problem 2.4
|-
|| 22.09 || Complexity class NP. Examples. Inclusions between P, NP and PSPACE. Non-deterministic TMs. Another definition of NP. Polynomial reductions, their properties. NP-hardness and NP-completeness, their properties.
|| [https://www.dropbox.com/s/9oxj6jxa2a27fk7/prob_03.pdf?dl=0 Problem list 3] Update 22.09, 3.5 and hint 3.8
|-
|| 29.09 || Circuit complexity. Examples. All functions are computed by circuits. Existence of functions with exponential circuit complexity. P is in P/poly. || [https://www.dropbox.com/s/51am8w6jytz9dad/prob_04.pdf?dl=0 Problem list 4]
|-
|| 06.10 || NP-completeness: Circuit-SAT, 3-SAT, IND-SET, BIN-INT-PROG, Clique, Vertex-Cover, Exactly 1-3-SAT, NAE-3-SAT || [https://www.dropbox.com/s/jfbisdyolmhdohl/prob_05.pdf?dl=0 Problem list 5]
|-
|| 13.10 || NP-completeness: Subset-SUM, 3COLORING. coNP, completeness of CIRC-TAUT || [https://www.dropbox.com/s/tzqj7l8il5drhk4/prob_06.pdf?dl=0 Problem list 6]
|-
|| [https://zoom.us/rec/share/3LrMJXXTJDAYF2lzH0r33hv336AWBjtufpF6yKdidy4ic6uFvsYEpK7BlZEKFNyV.xYkSb0P6NBjVRsao?startTime=1603793959000 27.10] || Space complexity. Classes L, NL, PSPACE and NPSPACE. Directed Reachability is in SPACE(log2 ''n''). Configuration graph. Inclusions between time and space classes. TQBF problem, its PSPACE-completeness. PSPACE = NPSPACE. NSPACE(''s''(''n'')) is in SPACE(''s''(''n'')2) for space constructible ''s''. || [https://www.dropbox.com/s/hlubofza612y6cj/prob_07.pdf?dl=0 Problem list 7]
|-
|| [https://zoom.us/rec/share/14xX_cDOu2Gr2fpFFxfmJKEclKNoDr57XCq2gyGqSGmsgilZdrTwyZihBHz6XRmO.OfTjHf0GXEA9Et4H 03.11] || [https://www.dropbox.com/s/5lt1z4qxhksgs15/WCM_def5d.mp4?dl=0 L ⊆ P]. [https://www.dropbox.com/s/rtizfkx2m2ebyec/NLsubsetP.png?dl=0 NL ⊆ P]. [https://www.dropbox.com/s/9jtajtadc8vrgby/reductions.mp4?dl=0 Log-space reductions and NL-completeness]. [https://www.dropbox.com/s/ca86r3h2fvm3q8o/WCM_09830.mp4?dl=0 Path is NL-][https://www.dropbox.com/s/3k5fld05zisqgrp/WCM_df84e.mp4?dl=0 complete] and, [https://www.dropbox.com/s/ko2zmvk31jqm0ma/WCM_03d13.mp4?dl=0 probably, outside L]. [https://www.dropbox.com/s/mhqz2n52hab37zw/WCM_695bc.mp4?dl=0 Class coNL]. [https://www.dropbox.com/s/ul739s45r3palqi/WCM_7ddbe.mp4?dl=0 NL] [https://www.dropbox.com/s/0tqcxf9uzpev711/WCM_65c40.mp4?dl=0 =] [https://www.dropbox.com/s/ecdy6tno88a1ffs/WCM_63463.mp4?dl=0 coNL]. [https://www.dropbox.com/s/hilscsxiicgr6ho/WCM_3c921.mp4?dl=0 Generalised Geography] and [https://www.dropbox.com/s/4tbu304rw7vje4q/WCM_81f5b.mp4?dl=0 Formula Game] are [https://www.dropbox.com/s/xrlz1u4ho2z1u5x/WCM_bc82a.mp4?dl=0 PSPACE-complete]. || [https://www.dropbox.com/s/2i4hj8ilp4exqr2/prob_08.pdf?dl=0 Problem list 8]
|-
|| [https://zoom.us/rec/share/XqpUIS7G8bB2TjD4l0XZuGtpLOKdI5ICuyPA3PyMfaxSB0dsjO0x-U-9Yn0QAOcb.nZQA6cqTBv7ytmiP 10.11] || Oracle computation definitions. There exists an oracle ''A'' for which P''A'' = NP''A''. There is an oracle ''B'' such that P''B'' is not equal to NP''B''. || [https://www.dropbox.com/s/8h3a98h938162gz/prob_09.pdf?dl=0 Problem list 9]
|-
|| [https://zoom.us/rec/share/Nrq1IvUzofuo5fydjWN64LNjWt6c4Y22oC8kHFF53i3Q4SdYVjWdYjn53h4YlAwI.Py79jFGo7SUOoKV3 17.11] || Probabilistic computation. Probabilistic machines, the class BPP, invariance of the definition BPP for different thresholds, RP, coRP, PP, ZPP. BPP is in P/poly.
|| [https://www.dropbox.com/s/znj3cm1kb70o7px/prob_10.pdf?dl=0 Problem list 10]
|-
|| [https://zoom.us/rec/share/O0FgCvpOa1UcFlcGpRsFysaVe87nE9IFfYEK1Nn84VS1IugGncjlQcU55gefVZp8.ejQ1gh2kNiGdAN45 24.11] || Streaming algorithms: finding the majority element, computation of the moment F_2 in logarithmic space. [http://theory.stanford.edu/~tim/w15/l/l1.pdf Roughgarden's lecture notes]
|| [https://www.dropbox.com/s/vun7309n6qbdo17/prob_11.pdf?dl=0 Problem list 11]
|-
|| [https://zoom.us/rec/share/6ez6JQsyBdPjS4JvLi3aAGfvfydLZGJVfD0YFhHl_B5nADRMrY3npHaoC6-MVD-T.j_BzHsk3lNiL8go3 01.12] || Lower-bound for exact and probabilistic computation of F_0 using one-shot communication complexity. Communication protocols. Functions EQ, GT, DISJ. Fooling sets. Combinatorial rectangles. Book: Kushilevitz and Nisan, Communication Complexity, 1997 [https://epdf.pub/communication-complexity.html download]
|| [https://www.dropbox.com/s/1qhktxnd95ww146/prob_12.pdf?dl=0 Problem list 12]

|-
|| [https://zoom.us/rec/share/dEfCBunsqqsp5ETfuOtGtbcwkfWMmxiHfEjHza2e2sPOybKqR3crQ7guJaVGDdf4.y_FzqoXfKUoztXW4 08.12] || Questions from students P vs NP vs PSPACE || [https://www.dropbox.com/s/00yfmblihuahvoa/prob_13.pdf?dl=0 Problem list 13]
|-
|| 15-16.12 || Colloquium.
||


|}

For interested students, we give a few lectures about parameterized complexity. We follow the book [http://parameterized-algorithms.mimuw.edu.pl/parameterized-algorithms.pdf Parameterized algorithms] by Cygan, Marek, Fedor V. Fomin, Łukasz Kowalik, Daniel Lokshtanov, Dániel Marx, Marcin Pilipczuk, Michał Pilipczuk, and Saket Saurabh. Vol. 4, no. 8. Cham: Springer, 2015.

== Office hours ==

{| class="wikitable"
|-
! Person !! Monday !! Tuesday !! Wednesday !! Thursday !! Friday
|-
| [https://www.hse.ru/en/staff/obiedkov Sergei Obiedkov], [https://zoom.us/j/99663354582 Zoom] || || || 16:30–18:00 || 16:30–18:00 ||
|-
| [https://www.hse.ru/en/org/persons/160550073 Bruno Bauwens], [https://zoom.us/j/5579743402 Zoom] || 14h-18h || 16h15-19h || || ||
|}

Theory of computing, AMI - История изменений

imported>.obj: /* Office hours */