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Formal Methods and Functional Programming

Spring Semester 2025, Bachelor course (252-0058-00)

Overview

Lecturers: Prof. Dr. Peter Müller, Prof. Dr. David Basin, Prof. Dr. Ralf Jung

Classes: Tuesdays 10-12 and Thursdays 10-12

Credits: 7 ECTS (4V + 2U)

Language: English (lectures), English and German (exercises)

Exercise classes: Tuesdays 14-16, Tuesdays 16-18, Wednesdays 8-10, or Wednesdays 16-18

For questions/issues concerned with the first half (Functional Programming), please contact François Hublet; for the second half (Formal Methods), please contact Anqi Li.

Announcements

  • [2025/04/14] The Wednesday 8:00–10:00 exercise session with Johannes Hostert (English, ETZ F91) is permanently cancelled starting this week. If you were registered for this session, please select one of the other sessions scheduled at the same time to attend and submit your homework to the TA of your new session for the rest of the semester.
  • [2025/02/25] The next lecture (on Thursday, February 27th) will exceptionally take place in HG F 7.
  • [2025/01/28] The course webpage for this year's FMFP is up and running!

Course material

Week 9

Week 8

Week 7

Week 6

Week 5

Week 4

Week 3

Week 2

Week 1

General Information

Course material:

All the course material will be uploaded on this website.

For the first part of the course, we will also use CodeExpert for programming exercises.

Lectures:

The lecture will be held in HG E 7. If not all students fit into the room, there will be a live streaming of the lecture in HG E 3. Please come to HG E 7 first.

Attendance is strongly recommended. No recordings will be provided.

Exercise Sessions:

You can enroll here: https://expert.ethz.ch/enroll/SS25/fmfp.

Exam and Quizzes:

There will be a 180 minutes written examination. This examination covers both halves of the course. Note that the examination is only offered in the session after the course unit.

There will also be two graded midterm quizzes (FP: March 13; FM: May 13). Each quiz will be 30 minutes and each may improve the final grade.

 

Description

In this course, participants will learn about new ways of specifying, reasoning about, and developing programs and computer systems. Our objective is to help students raise their level of abstraction in modelling and implementing systems.

The first part of the course will focus on designing and reasoning about functional programs. Functional programs are mathematical expressions that are evaluated and reasoned about much like ordinary mathematical functions. As a result, these expressions are simple to analyse and compose to implement large-scale programs. We will cover the mathematical foundations of functional programming, the lambda calculus, as well as higher-order programming, typing, and proofs of correctness.

The second part of the course will focus on deductive and algorithmic validation of programs modelled as transition systems. As an example of deductive verification, students will learn how to formalize the semantics of imperative programming languages and how to use a formal semantics to prove properties of languages and programs. As an example of algorithmic validation, the course will introduce model checking and apply it to programs and program designs.

Resources

Literature for the first part

Haskell links

The external page Zurich Haskell user group maintains a collection of external page Haskell links useful for both Haskell beginners and experts.

Proof checker

The proof checker CYP for induction proofs is external page available on GitHub.

Literature for the second part

Additional literature for interested students

  • Chris Okasaki. Purely Functional Data Structures. Cambridge University Press, 1998.
  • Harold Abelson and Gerald Jay Sussman with Julie Sussman. Structure and Interpretation of Computer Programs. MIT Press, 1996. (external page full version online)
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