Logic II (CUGS Core) 2024HT Status Active - open for registrations School National Graduate School in Computer Science (CUGS) Division AIICS Owner Johannes Klaus Fichte

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Course plan

Lectures

Approximately 24 hours.

Recommended for

Doctoral students with foundational background in logics (e.g. introductory course).

The course was last given

Spring 2022

Goals

Learning Outcomes
After successful completion of the course, students are able to:
- assess proofs by proof assistants and/or validity techniques
- chose and/or develop a logic for a particular application domain
- assess limitations in logics and employ these to draw conclusions
- execute and understand the presented methods and concepts for non-classical logics
- apply logics for one of the following topics automated solving, verification, or causal reasoning

Prerequisites

Introductory course in logic

Contents

- Proof and model theory
- Extensions/restrictions of classical logics, e.g, second-order logic
- Basic introduction to non-classical logics: three-valued logics, modal logic, description logic
- Depending on the background of the group
- Applications to computational complexity: MSO, TQBF
- Answer Set Programming, Certified Reasoning/Verification, or Causal Reasoning

We introduce participants to a broad scope on modern logics and their applications in computer
science. In particular, we consider aspects that are relevant for artificial intelligence, automated
theorem proving, formal specifications, and software verification.
We discuss aspects on incomplete and inaccurate information. Due to the broad nature of the
course we primarily provide foundational aspects and enable participants to selfstudy by
suggesting concepts and an entry points to the literature.

Organization

- Course will be held in presence/via Zoom.
- Course is offered in a blocked format, dates will be agreed on in the first sessions
- The course is given in an intensive format ("crash course”).
- Expect a mix between lectures, classes, and group presentations/discussions of assignments
- Course material will be in English
- Firm deadlines will be provided in the second week of the course

Literature

- Provided in the lecture notes

Lecturers

Johannes Fichte

Examiner

Johannes Fichte

Examination

- 50% Group assignment on a topic of your choice, where you read and summarize two-three
research papers and put them in context of the learnt material.
- 50% Individual take home exam

Credit

6 HEC (Higher Education Credits)

Comments

Course web page

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