# Models of Concurrent Systems

# Models of Concurrent Systems

##### Course with SWS 2/2/0 (lecture/exercise/practical) in SS 2022

**Lecturer**

**SWS**

- 2/2/0

**Modules**

**Examination method**

- Oral exam

**Matrix channel**

### News

**We offer**You can book an appointment for an oral examination with our secretary via e-mail.~~two dates~~one date for oral examinations this semester,~~Thursday July 21 and~~(fully booked) Tuesday August 2.- Upon request and polls among the participants we have moved our sessions from Tuesdays and Wednesdays DS3 to Tuesdays and Wednesdays DS4, taking effect on April 12, 2022.
- Please refer to Dates and Material to infer the room, which is also announced via the Matrix chat channel.
- Permanent rooms for the new time slots are going to be implemented soon.

### 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, $\lambda$-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 throughout the course.

- From sequential to parallel processes (LTS, CCS)
- Bisimulation and Coinduction
- From sequential to concurrent processes (Petri nets)
- Mobile processes (the $\pi$-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 DS4 (13.00-14.30)**. 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.

- 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.

- Esparza, J.
**Petri Nets Lecture Notes**from a course given at TU Munich Link to the Script

Subscribe to events of this course (icalendar)

Lecture | A Primer in Semantics of Programming Languages | DS3, April 5, 2022 in APB E005 | File |

No session | no lecture | DS3, April 6, 2022 in APB E005 | |

Lecture | Bisimilarity | DS4, April 12, 2022 in APB E005 | File |

Lecture | Bisimilarity and Interaction (Part 1) | DS4, April 13, 2022 in APB E010 | |

Lecture | Bisimilarity and Interaction (Part 2) | DS4, April 19, 2022 in APB 3027 | |

Lecture | The Calculus of Communicating Systems | DS4, April 20, 2022 in APB 3027 | File |

Lecture | Expressive Power of CCS | DS4, April 26, 2022 in APB 3027 | |

Lecture | Algebraic Properties of Bisimilarity | DS4, April 27, 2022 in APB E010 | |

Lecture | Processes with Internal Steps | DS4, May 3, 2022 in APB 3027 | File |

Lecture | Algebraic Properties of Weak Bisimilarity | DS4, May 4, 2022 in APB E010 | |

Lecture | CCS, Bisimilarity Conclusions / Introduction to Petri Nets | DS4, May 10, 2022 in APB 3027 | File |

Lecture | Petri Nets and CCS | DS4, May 11, 2022 in APB E010 | |

Lecture | Petri Nets: Algorithms | DS4, May 17, 2022 in APB 3027 | |

No session | Dies academicus | DS4, May 18, 2022 in APB E010 | |

Lecture | Petri Nets: Expressiveness | DS4, May 24, 2022 in APB 3027 | File |

Lecture | Petri Nets: Non-Interleaving Semantics (Part 1) | DS4, May 25, 2022 in APB E010 | |

Lecture | Petri Nets: Non-Interleaving Semantics (Part 2) | DS4, May 31, 2022 in APB 3027 | |

Consultation | Questions and Answers (Petri Nets, CCS, and LTS) | DS4, June 1, 2022 in APB E010 | |

No session | Pentecost Week | DS4, June 7, 2022 in APB 3027 | |

No session | Pentecost Week | DS4, June 8, 2022 in APB E010 | |

Lecture | Reductions | DS4, June 14, 2022 in APB 3027 | |

Lecture | Barbed Congruence | DS4, June 15, 2022 in APB E010 | |

Lecture | The Pi-Calculus: Syntax and Reduction Semantics | DS4, June 21, 2022 in APB 3027 | File |

Lecture | The Pi-Calculus: Examples and Reductions | DS4, June 22, 2022 in APB E010 | |

Lecture | The Pi-Calculus: Labeled Transition Semantics | DS4, June 28, 2022 in APB 3027 | |

Lecture | The Pi-Calculus: Properties of the LTS-Semantics | DS4, June 29, 2022 in APB E010 | |

Lecture | The Pi-Calculus: The Harmony Lemma | DS4, July 5, 2022 in APB 3027 | |

Lecture | The Asynchronous Pi-Calculus | DS4, July 6, 2022 in APB E010 | |

Lecture | Relative Expressive Power | DS4, July 12, 2022 in APB 3027 | |

Lecture | Wrap-Up | DS4, July 13, 2022 in APB E010 |

### Calendar