Theory of Distributed Systems
Advanced Course, 2+2
|Lectures:||Monday, 12:15 - 14:00, E1.4 023|
|First lecture:||26. October 2015|
|Tutorials:||Tuesday, 12:15 - 14:00, E1.4 023|
|Prerequisites:||No prerequisites beyond basic familiarity with mathematical reasoning are required; prior knowledge on asymptotic notation and (occasionally) standard probabilistic notions can be useful, but is not essential for following the course.|
This course offers a broad introduction to the theory underlying distributed systems. Among others, it covers message passing and shared memory, synchrony vs. asynchrony, fault-tolerance, and congestion. The focus lies on key concepts, algorithmic ideas, and mathematical analysis. Despite some overlap in topics, the angle is very different from that of the core lecture distributed systems; in particular, programming is not part of the curriculum.
Theory in the area of distributed computing aims at understanding systems in which limits on communication and lack of coordination or common knowledge are the principal challenges. Moreover, the redundancy provided by multiple agents (be these computers, ants, smartphones, or humans) enables to overcome faults. Uncertainty is faced on many fronts: How large is the network? Is information up-to-date? Does it merely take a long time until a response from a process is received, or did the process fail? We will examine how such issues affect which problems can be solved and at which cost. On the way, surprising and elegant algorithms will surface alongside the principles guiding their design.
|Date||Topic||Exercise Sheet||Exercise Due|
|26.10.2015||Coloring||Sheet 1||02.11.2015, 14:00|
|02.11.2015||Synchronizers||Sheet 2||09.11.2015, 14:00|
|09.11.2015||Impossibility of Consensus||Sheet 3||16.11.2015, 14:00|
|16.11.2015||Reaching Consensus||Sheet 4||23.11.2015, 14:00|
|23.11.2015||Maximal Independent Set||Sheet 5||30.11.2015, 14:00|
|30.11.2015||Minimum Spanning Trees||Sheet 6||07.12.2015, 14:00|
|07.12.2015||Hardness of MST Construction||Sheet 7||14.12.2015, 14:00|
|14.12.2015||Distance Approximation and Routing*||Sheet 8||04.01.2016, 14:00|
|04.01.2016||Self-Stabilization and Recovery||Sheet 9||11.01.2016, 14:00|
|11.01.2016||Mutual Exclusion and Store & Collect||Sheet 10||18.01.2016, 14:00|
|18.01.2016||Shared Counters||Sheet 11||25.01.2016, 14:00|
|25.01.2016||The Port Numbering Model*||Sheet 12||01.02.2016, 14:00|
|01.02.2016||Summary and Questions||n/a||n/a|
*) Section 8.5 (Weighted APSP) and Lecture 12 (Port Numbering) are not relevant for the exam
- Read and believe how we would like to run this course.
- Subscription to our mailing list is mandatory and has two purposes: (1) We will use it to distribute material and information, and we will assume that everyone in the course received them. (2) Please use the list to discuss the lecture, exchange material, clarify questions, etc.; just please don't post solutions to the exercises.
- Oral exams will be held on Monday, 15.02.2016 at individually assigned timeslots.
- We'll use the last TA session (09.02.2016) for Q&A. Please prepare questions (if you hand them in early I have chance to prepare answers).
- Full script containing everything covered in the lecture so far as well as a chapter on notation and preliminaries.
- Some notation and preliminaries required for this course.