Database Theory

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Database Theory

Lehrveranstaltung mit SWS 4/2/0 (Vorlesung/Übung/Praktikum) in SS 2022

Dozent

Tutor

Umfang (SWS)

  • 4/2/0

Module

Leistungskontrolle

  • Mündliche Prüfung

Matrix-Kanal

Vorlesungsreihe


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

  • The weekly lecture sessions will take place on Mondays from 09:20 to 10:50 in room APB E007 and Tuesdays from 09:20 to 10:50 in room APB E005.
  • The weekly exercise session will take place on Tuesdays from 14:50 to 16:20 in room APB E005.
  • The first exercise session will be on Tuesday, 2022-04-12.

Examinations

For the oral exams, we have blocked two dates this term:

  • Thursday, 2022-07-21 (fully booked)
  • Tuesday, 2022-08-02

As usual, you should book a date with our secretary after you have officially enrolled in your respective examination office/system.

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

Veranstaltungskalender abonnieren (icalendar)

Vorlesung Introduction/Relational Data Model DS2, 4. April 2022 in APB E007 Datei
Vorlesung First-Order Queries (part 1) DS2, 5. April 2022 in APB E005 Datei
Vorlesung First-Order Queries (part 2) DS2, 11. April 2022 in APB E007
Vorlesung Complexity of Query Answering DS2, 12. April 2022 in APB E005 Datei
Übung 1. Relational Algebra DS5, 12. April 2022 in APB E005 Datei 1 Datei 2
Vorlesung Complexity of FO Query Answering (1) DS2, 19. April 2022 in APB E005 Datei
Übung 2. First-Order Queries DS5, 19. April 2022 in APB E005 Datei 1 Datei 2
Vorlesung Complexity of FO Query Answering (2) DS2, 25. April 2022 in APB E007 Datei
Vorlesung Conjunctive Queries DS2, 26. April 2022 in APB E005 Datei
Übung 3. Complexity of First-Order Queries DS5, 26. April 2022 in APB E005 Datei 1 Datei 2
Vorlesung Tree-Like Conjunctive Queries (1) DS2, 2. Mai 2022 in APB E007 Datei
Vorlesung Tree-Like Conjunctive Queries (2) DS2, 3. Mai 2022 in APB E005 Datei
Übung 4. Conjunctive Queries, CSP, and Hypergraphs DS5, 3. Mai 2022 in APB E005 Datei 1 Datei 2
Vorlesung Query Optimisation DS2, 9. Mai 2022 in APB E007 Datei
Vorlesung Conjunctive Query Optimisation DS2, 10. Mai 2022 in APB E005 Datei
Übung 5. Tree Width and Hypertree Width DS5, 10. Mai 2022 in APB E005 Datei 1 Datei 2
Vorlesung Query Expressiveness (Part 1) DS2, 16. Mai 2022 in APB E007 Datei
Vorlesung Query Expressiveness (Part 2) DS2, 17. Mai 2022 in APB E005
Übung 6. Trakhtenbrot's Theorem DS5, 17. Mai 2022 in APB E005 Datei 1 Datei 2
Vorlesung Introduction to Datalog DS2, 23. Mai 2022 in APB E007 Datei
Vorlesung Datalog Complexity DS2, 24. Mai 2022 in APB E005 Datei
Übung 7. FO Query Expressivity DS5, 24. Mai 2022 in APB E005 Datei 1 Datei 2
Vorlesung Datalog Evaluation (1) DS2, 30. Mai 2022 in APB E007 Datei
Vorlesung Datalog Evaluation (2) DS2, 31. Mai 2022 in APB E005 Datei
Übung 8. Datalog DS5, 31. Mai 2022 in APB E005 Datei 1 Datei 2
Entfällt No Lecture: Pentecost DS2, 6. Juni 2022 in APB E005
Entfällt No Lecture: Pentecost DS2, 7. Juni 2022 in APB E005
Entfällt No Exercise: Pentecost DS5, 7. Juni 2022 in APB E005
Vorlesung Graph Databases and Path Queries DS2, 13. Juni 2022 in APB E007 Datei
Vorlesung Graph Databases and Path Queries (continued) DS2, 14. Juni 2022 in APB E005
Übung 9. Semi-Positive Datalog DS5, 14. Juni 2022 in APB E005 Datei 1 Datei 2
Vorlesung Dependencies DS2, 20. Juni 2022 in APB E007 Datei
Vorlesung The Chase DS2, 21. Juni 2022 in APB E005
Übung 10. Datalog Evaluation DS5, 21. Juni 2022 in APB E005 Datei 1 Datei 2
Vorlesung Query Answering Beyond Acyclic TGDs DS2, 27. Juni 2022 in APB E007
Vorlesung Outlook DS2, 28. Juni 2022 in APB E005
Übung 11. Graph Databases and Path Queries DS5, 28. Juni 2022 in APB E005 Datei
Übung 12. Dependencies DS5, 5. Juli 2022 in APB E005


Kalender