Theoretical Computer Science 2022 — различия между версиями

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|| 02.03 || Circuits, proof of the Levin-Cook theorem (see also Mertens&Moore chapter 5), more reductions || [https://www.dropbox.com/s/nen161dakmq3646/circuits.pdf?dl=0 circuits]  
 
|| 02.03 || Circuits, proof of the Levin-Cook theorem (see also Mertens&Moore chapter 5), more reductions || [https://www.dropbox.com/s/nen161dakmq3646/circuits.pdf?dl=0 circuits]  
 
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  || 16.03 || More reductions, approximations, (PSPACE) || [https://www.dropbox.com/s/wlrssw0q1tfx49p/moreReductions.pdf?dl=0 reductions] [https://www.dropbox.com/s/mqcwutqk4nm9h8u/approximations.pdf?dl=0 approximations]
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  || 16.03 || More NP-complete problems || [https://www.dropbox.com/s/wlrssw0q1tfx49p/moreReductions.pdf?dl=0 reductions]  
 
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  || 23.03 || PSPACE hardness, EXP, BPP, Polynomial-time hierarchy.   ||  
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  || 23.03 || PSPACE, completeness of TQBF, generalized geography   || [https://www.dropbox.com/s/77sr5nhne411ahz/classPSPACE.pdf?dl=0] [https://www.dropbox.com/s/mqcwutqk4nm9h8u/approximations.pdf?dl=0 approximations]
 
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  || 30.03 || Parameterized complexity: the class FPT and kernelization ||
 
  || 30.03 || Parameterized complexity: the class FPT and kernelization ||

Версия 18:05, 23 марта 2022

Classes

Wednesdays 18:10–21:00, on zoom

Teacher: Bruno Bauwens

For practical information join the telegram group

Grading

Exam: 40%
Homework: 20%
Project: 40%

There are 2 homeworks with deadlines: 23.02, 09.03 before the lecture

Course Materials

The main reference for the first 4 lectures is Sipser's book "Introduction to the theory of computation", 3rd edition, chapters 1, 2–7. Also, Mertens and Moore, The Nature of Computation, 2011.

Video Summary Notes
19.01 Regular languages: (non)deterministic automata and their equivalence, pumping lemma, closure properties lecture 1
25.01 Turing machines and register machines lecture 2
09.02 undecidability of: Halting program, Wang tiling, Fractran Godel's incompleteness theorems lecture 3.A 3.B
16.02 The classes P, EXP, PSPACE, EXPSPACE. Dynamic programming. Time and space hierarchy theorems. seminar
23.02 Holliday
02.03 The class NP and NP-completeness notes
02.03 Circuits, proof of the Levin-Cook theorem (see also Mertens&Moore chapter 5), more reductions circuits
16.03 More NP-complete problems reductions
23.03 PSPACE, completeness of TQBF, generalized geography [1] approximations
30.03 Parameterized complexity: the class FPT and kernelization
13.04 Parameterized complexity (2): W-hierarchy, graph domination
20.04 Projects

Office hours

Person Monday Tuesday Wednesday Thursday Friday
Bruno Bauwens, S834, Zoom 14:00-20:00

Warn me in advance by email.