Automated Theorem Proving (ATP, WiSe 2025/26)
Lecture 2 hours, Blanchette; exercises 2 hours, Kondylidou and Xu
Recognized as “Fortgeschrittene Themen der theoretischen Informatik” and “Vertiefende Themen der Informatik”. For BSc students, the course is officially called “Automated Theorem Proving for Bachelor”.
Overview
Automated theorem proving is a subfield of mathematical logic that concerns itself with proving mathematical theorems fully automatically using computer programs. These programs are called automated theorem provers. They can be used as standalone programs to solve logic problems or in tandem with interactive theorem provers (also called proof assistants) to discharge proof obligations that arise in interactive proofs.
In this course, we will review some of the main approaches to automated theorem proving. The course focuses on the theory of theorem proving. Stylistically, the course has a mathematical flavor (with definitions, lemmas, proofs, etc.).
The course is based on the materials from Dr. Uwe Waldmann’s courses Automated Reasoning I and Automated Reasoning II at Saarland University. We are grateful to him for letting us use his materials.
Organization
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2+2 hours per week
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Lecturer: Prof. Dr. Jasmin Blanchette
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Teaching assistants: Lydia Kondylidou and Yiming Xu, PhD
Place and Time
TBD
We will make videos of the lectures available on LMUcast as a convenience to students with schedule conflicts. We will do our best to put the videos online shortly after the lecture, but we offer no guarantees about their availability or quality.
Schedule
The course consists of 15 lectures:
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Preliminaries Continued and Propositional Logic
slides · exercises -
Efficient Saturation Procedures and Outlook (
*)
slides · exercises -
Mystery Lecture + Mock Exam Q&A
Lectures marked with an asterisk (*) present material that is relevant for
the exams for MSc students but not for BSc students.
Materials
The slides of the lectures are available above under Schedule. The exercise sheets are also available there. Solutions will be gradually be made available there as well. All materials are provided for your convenience and are subject to changes.
There are also lecture notes that cover most of the same material as the slides but with more details, especially proofs.
Exams
The course aims at teaching concepts. Therefore, the exam is on paper. It is also closed book. A handout will be provided with the most important definitions. You will be given 120 minutes to complete the exam.
If you need some adjustments to compensate for disabilities or impairments, please contact the lecturer well before the exam.
The course is being taught for the second time at the LMU. Here is the final exam from WiSe 2024/25, together with answers. Here is the retake exam from WiSe 2024/25, together with answers. A mock exam, together with answers, is also available so that you can practice.
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