Concurrency Theory

From International Center for Computational Logic

Concurrency Theory

Course with SWS 2/2/0 (lecture/exercise/practical) in SS 2023

Lecturer

SWS

  • 2/2/0

Modules

Examination method

  • Oral exam

Matrix channel

Lecture series


News

  • Oral exams are offered on July 19, 2023 and August 7, 2023. Please contact Kati Domann to arrange an appointment.
  • Our first lecture on April 4, 2023 at 1pm takes place in room APB 3027 (3rd floor of APB).

Course Description

Modern computer systems are often multi-threaded or even fully distributed over several machines and geographical locations. Instead of the well-known sequential computational models (e.g., Turing machines, λ-calculus, etc.), the key notion for describing concurrent computations is that of a process. In this course, we study several phenomena occurring in concurrent computations by means of process calculi, for which we will define and analyze their formal semantics. As one of the key aspects, we ask when two processes are considered to be equivalent. Subsequently, we give an (incomplete) list of topics we strive for throughout the course.

  • From sequential to parallel processes (LTS, CCS)
  • Bisimulation and Coinduction
  • From sequential to concurrent processes (Petri nets)
  • Mobile processes (the π-calculus)
  • Expressive power of process calculi
  • Data-Aware Processes

Contact

If you have questions regarding the course, feel free to ask in the matrix chat or via email to the teacher of the course.

Schedule and Location

The course is taught in two sessions per week, one on Tuesdays DS4 (13.00-14.30) and Wednesdays DS3 (11.10-12.40). We're currently planning the course sessions as on-site events. If necessary, we can retract to an Online mode, probably using BigBlueButton. Exercises are intertwined with the lecture.

Acknowledgments

The first part of the lecture is based on the exposition Introduction to Bisimulation and Coinduction by Davide Sangiorgi. The slides Davide provides were an inspiration for the lecture material. The slides titled Part II have been used in the lectures on coinduction.
  • Aceto, L., Ingólfsdóttir, A., Larsen, K. G., & Srba, J. (2007). Reactive Systems. Cambridge University Press.
  • Sangiorgi, D., & Walker, D. (2003). The pi-calculus: a theory of mobile processes. Cambridge University Press.
  • Sangiorgi, D. (2012). Introduction to bisimulation and coinduction. Cambridge University Press.
  • Milner, R. (1980). A calculus of communicating systems. : Springer Berlin Heidelberg.
  • Milner, R. (1999). Communicating and mobile systems. : Cambridge University Press.
  • Davide Sangiorgi (2012). Advanced topics in bisimulation and coinduction. : Cambridge University Press.
  • Reisig, W. (2013). Understanding Petri Nets. : Springer Berlin Heidelberg.

Subscribe to events of this course (icalendar)

Lecture Introduction DS4, April 4, 2023 in APB 3027 File
Lecture Towards Bisimulation DS3, April 5, 2023 in APB E005 File
Exercise Bisimulation and Bisimilarity DS4, April 11, 2023 in APB E005
No session no session DS3, April 12, 2023 in APB E005
Lecture Coinduction: Examples, Duality to Induction, and Proof Techniques DS4, April 18, 2023 in APB E005
Exercise Introduction to LEAN: Proofs and Propositions DS3, April 19, 2023 in APB E005 File
Lecture Coinduction: Fixed-Points DS4, April 25, 2023 in APB E005
Consultation LEAN: Tactics, Inductive Types, and Structures DS3, April 26, 2023 in APB E005 File
No session no session DS4, May 2, 2023 in APB E005
No session no session DS3, May 3, 2023 in APB E005
Lecture Coinduction: Bisimilarity and Games / Algebraic Properties of Bisimilarity DS4, May 9, 2023 in APB E005
No session dies academicus DS3, May 10, 2023 in APB E005
Lecture Algebraic Properties of Bisimilarity (1/2) DS4, May 16, 2023 in APB E005 File
Lecture Algebraic Properties of Bisimilarity (2/2) DS3, May 17, 2023 in APB E005
Lecture Compositionality Bisimilarity DS4, May 23, 2023 in APB E005
Lecture Expressive Power of CCS DS4, May 24, 2023 in APB E005
No session No Lecture: Pentecost DS4, May 30, 2023 in APB E005
No session No Exercise: Pentecost DS3, May 31, 2023 in APB E005
Lecture CCS and Internal Activities DS4, June 6, 2023 in APB E005 File
Lecture Other Approaches to Behavioral Equivalence DS4, June 7, 2023 in APB E005 File
Lecture An Introduction to Petri Nets DS3, June 13, 2023 in APB E005 File
Exercise Modeling with Petri Nets DS4, June 14, 2023 in APB E005
Lecture Petri Nets: The Boundedness Problem DS3, June 20, 2023 in APB E005
Lecture Basic Observables DS3, June 27, 2023 in APB E005
Lecture The pi-Calculus DS3, July 4, 2023 in APB E005 File
Lecture The Asynchronous pi-Calculus DS3, July 11, 2023 in APB E005


Calendar