IA008 Computational Logic

Faculty of Informatics
Spring 2025
Extent and Intensity
2/2/0. 3 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
In-person direct teaching
Teacher(s)
Dr. rer. nat. Achim Blumensath (lecturer)
Guaranteed by
Dr. rer. nat. Achim Blumensath
Department of Computer Science – Faculty of Informatics
Supplier department: Department of Computer Science – Faculty of Informatics
Prerequisites
some familiarity with basic notions from logic like: formula, model, satisfaction, logical equivalence.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
The capacity limit for the course is 111 student(s).
Current registration and enrolment status: enrolled: 0/111, only registered: 22/111, only registered with preference (fields directly associated with the programme): 15/111
fields of study / plans the course is directly associated with
there are 33 fields of study the course is directly associated with, display
Course objectives
The course is about algorithmic problems related to logic. The focus is on model checking and satisfiability algorithms for several logics used in the various fields of computer science, for instance in verification or knowledge representation.
Learning outcomes
After successfully completing this course students should be familiar with several logics, including propositional logic, first-order logic, and modal logic. They should be familiar with various proof calculi for these logics and be able to use such calculi to test formulae for satisfiability and/or validity. In addition, they should have basic knowledge about automatic theorem provers and they way these work.
Syllabus
  • Resolution for propositional logic.
  • Resolution for first-order logic.
  • Prolog.
  • Fundamentals of database theory.
  • Tableaux proofs for first-oder logic.
  • Natural deduction.
  • Ehrenfeucht-Fraise games.
  • Induction.
  • Modal logic.
  • Many-valued logics.
Literature
    recommended literature
  • ENDERTON, Herbert B. A mathematical introduction to logic. 2nd ed. San Diego: Harcourt/Academic press, 2001, xii, 317. ISBN 0122384520. info
  • NERODE, Anil and Richard A. SHORE. Logic for applications. New York: Springer-Verlag, 1993, xvii, 365. ISBN 0387941290. info
  • EBBINGHAUS, Heinz-Dieter, Jörg FLUM and Wolfgang THOMAS. Mathematical logic. Third edition. Cham: Springer, 2021, ix, 304. ISBN 9783030738389. info
Teaching methods
lectures, exercises.
Assessment methods
A final written exam.
Language of instruction
English
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (recent)
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