Database Theory

From International Center for Computational Logic

Database Theory

Course with SWS 4/2/0 (lecture/exercise/practical) in SS 2020

Lecturer

Tutor

SWS

  • 4/2/0

Modules

Examination method

  • Oral exam

Announcement: because of the COVID-19 pandemic, the schedule and location of this lecture have changed quite a bit. For more information have a look at the corresponding section below.

Course Description

Databases are a key technology in computer science that brings together fascinating theoretical topics and highly relevant practical applications. The goal of this lecture is to give an extended introduction to this interesting field, with a special focus on database query languages, their expressive power, and computational complexity. The lecture will introduce the relational data model, and then discuss theoretical and practical aspects of a variety of query languages:

  • first-order logic as a query language and the relational algebra
  • conjunctive queries and their unions
  • navigational queries: path queries
  • Datalog and its relatives
  • query answering under database dependencies

The lecture focuses on core principles that apply to many types of databases alike (relational, graph-based, semantic web). Some important query answering algorithms are presented, too, but otherwise, the details of database implementation and administration are not covered.

Prerequisites

Undergraduate-level knowledge of predicate logic, regular languages, and algorithmic and computational complexity is required. The lecture will connect with other topics in the Computer Science and Computational Logic curriculum, such as relational databases, logic programming, and Semantic Web technologies – familiarity with these topics is not required to follow the lecture.

Schedule and Location

Because of the ongoing COVID-19 pandemic, we have decided to transform this lecture into an online course. If the university reopens later on during the semester, we will probably revert to a standard, in-person lecture. For now, we will be doing the following:

  • Every week on Tuesday, we will publish two videos with the weekly lectures.
  • Every week on Monday, we will post one video with the weekly exercises.
  • The videos with the lectures and exercises will be posted on this webpage under the "Dates and Materials" tab.
  • Every week, we will host a "live session" in which the students can ask us questions. This session, which will take place on Wednesdays from 11:10 to 12:40, can be joined using this link (if you cannot access the chatroom, do send us an email).
  • We have set up an online forum using Opal in which the students can post questions and discuss topics related to this course.
  • Note that we will neither post an exercise video nor host a "live session" in the first week of the semester. That is, we will only post two videos with the weekly lectures in the first week.


When the university reopens, we will follow this schedule:

  • The weekly lecture sessions will take place on Tuesdays from 14:50 to 16:20 and Wednesdays from 11:10 to 12:40.
  • The weekly exercise session will take place on Tuesdays from 11:10 to 12:40.

All sessions will take place in room APB/E005.

Legacy

This course has first been taught at TU Dresden by Prof. Dr. Markus Krötzsch in the form of the 2015 lecture Foundations of Databases and Query Languages, the 2018 lecture Database Theory, and the 2019 lecture Database Theory. The plan for this year's course will be somewhat similar.

The structure of some of the lectures of this course is inspired by the course Theory of Data and Knowledge Bases in the version given by Georg Gottlob and Thomas Lukasiewicz at the University of Oxford.

The main reference textbook for the lecture is:

  • Serge Abiteboul, Richard Hull, Victor Vianu: Foundations of Databases. Addison-Wesley. 1994.
The book is available for free from its webpage, but there are also copies in the library.

Further texts might be consulted for background information and additional details:

  • Michael Sipser: Introduction to the Theory of Computation. 2005
Accessible introduction to complexity theory that covers all topics of computational complexity that the lecture touches upon.
  • Evgeny Dantsin, Thomas Eiter, Georg Gottlob, Andrei Voronkov: Complexity and expressive power of logic programming. ACM Computing Surveys, 33:3, pp 374-425, 2001.
Covers all Datalog complexity results mentioned in the lecture. Available at http://dx.doi.org/10.1145/502807.502810 (may require access from within a university network)
  • additional references will be added in the course of the lecture

Subscribe to events of this course (icalendar)

Lecture Introduction/Relational Data Model DS7, April 7, 2020 in Screencast Download Download Download
Lecture First-Order Queries (part 1) DS8, April 7, 2020 in Screencast Download Download Download
Exercise Relational Algebra DS8, April 13, 2020 in Screencast Download Download Download
Lecture First-Order Queries (part 2) DS7, April 14, 2020 in Screencast Download
Lecture Complexity of Query Answering DS8, April 14, 2020 in Screencast Download Download Download
Exercise First-Order Queries DS8, April 20, 2020 in Screencast Download Download Download
Lecture Complexity of FO Query Answering (1) DS7, April 21, 2020 in Screencast Download Download Download
Lecture Complexity of FO Query Answering (2) DS8, April 21, 2020 in Screencast Download Download Download
Exercise Complexity of FO Query Answering DS8, April 27, 2020 in Screencast Download Download Download
Lecture Conjunctive Queries DS7, April 28, 2020 in Screencast Download Download Download
Lecture Tree-Like Conjunctive Queries (1) DS8, April 28, 2020 in Screencast Download Download Download
Exercise Conjunctive Queries, CSP, and Hypergraphs DS8, May 4, 2020 in Screencast Download Download Download
Lecture Tree-Like Conjunctive Queries (2) DS7, May 5, 2020 in Screencast Download Download Download
Lecture Query Optimisation DS8, May 5, 2020 in Screencast Download Download Download
Exercise Treewidth and Hypertreewidth DS8, May 11, 2020 in Screencast Download Download Download
Lecture Conjunctive Query Optimisation DS7, May 12, 2020 in Screencast Download Download Download
No session No lecture: Dies Academicus DS8, May 12, 2020 in N/a
Exercise Trakhtenbrot's Theorem DS8, May 18, 2020 in Screencast Download Download Download
Lecture Query Expressiveness (Part 1) DS7, May 19, 2020 in Screencast Download Download Download
Lecture Query Expressiveness (Part 2) DS8, May 19, 2020 in Screencast
Exercise Query Optimisation and FO Query Expressivity DS8, May 25, 2020 in Screencast Download Download Download
Lecture Datalog Introduction DS7, May 26, 2020 in Screencast Download Download Download
Lecture Datalog Expressivity DS8, May 26, 2020 in Screencast Download Download Download
No session No Exercise Session: Pentecost DS8, June 1, 2020 in N/a
No session No Lecture: Pentecost DS7, June 2, 2020 in N/a
No session No Lecture: Pentecost DS8, June 2, 2020 in N/a
Exercise Datalog DS8, June 8, 2020 in Screencast Download Download Download
Lecture Datalog Evaluation (1) DS7, June 9, 2020 in Screencast Download Download Download
Lecture Datalog Evaluation (2) DS8, June 9, 2020 in Screencast Download Download Download
Exercise Semi-Positive Datalog DS8, June 15, 2020 in Screencast Download Download Download
Lecture Graph Databases DS7, June 16, 2020 in Screencast Download Download Download
Lecture Regular Path Queries DS8, June 16, 2020 in Screencast Download Download Download
No session No Exercise Session DS8, June 22, 2020 in N/a
No session No Lecture DS7, June 23, 2020 in N/a
No session No Lecture DS8, June 23, 2020 in N/a
Exercise Datalog Evaluation DS8, June 29, 2020 in Screencast Download Download Download
Lecture Dependencies DS7, June 30, 2020 in Screencast Download Download Download
Lecture The Chase DS8, June 30, 2020 in Screencast Download Download Download
Exercise Graph Databases and Path Queries DS8, July 6, 2020 in Screencast Download Download Download
Lecture Query Answering Beyond Acyclic TGDs DS7, July 7, 2020 in Screencast Download Download Download
No session No Lecture DS8, July 7, 2020 in Screencast
Exercise Dependencies DS8, July 13, 2020 in Screencast Download Download Download


Calendar