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Lecture notes for the course “Foundations of Computer Science”

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gdi_doc

last update:14th of Dec 2020
Author: Lukas Prokop
license:Public Domain
Version: 1.0.1 "pr"

Script for the course “Foundations of Computer Science”.

Roadmap

1.0
Accepted by Q&A.
1.0.1
Accepted pull requests regarding famous computer scientists.
1.1
  • Consider future of encoding chapter.
  • Introduce proof of halting problem.
1.2

Release if the following sections are ready:

  • Redesign of tables 3.10, 3.11 and 3.12 to make them more self-explanatory.
  • Check whether or not a nice cheatsheet for boolean logic is given including all laws by DeMorgan.
  • Fix TODO flags of boolean logic section and make section more axiomatic.
  • Introduce notes how to cope with NP-complete problems in programming.
  • Better description for Chomsky hierarchy (more precise description of distinction of classes).
1.4 Release if the following sections are ready:
  • Elaborate a bit more on Church-Turing thesis.
  • "Solving logic problems" (by examples).
1.6 Release if the following sections are ready:
  • Provide a more formally description for an NTM. Describe SAT-problem better.
  • Elaborate on NP-hardness.
  • Show hardness of SAT.
2.0 Release if the following sections are ready:
  • Introduce known problems: 3SAT, 2SAT, HORNSAT, KNAPSACK, TSP.
  • English translation available.

greets, prokls

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Lecture notes for the course “Foundations of Computer Science”

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