Inhalt

[ 201MMDMMVLU25 ] UE Manyvalued Logic

Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
1,5 ECTS B3 - Bachelor's programme 3. year Mathematics Thomas Vetterlein 1 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2025W
Learning Outcomes
Competences
Students are able to apply the methods of mathematical logic to deal with the vagueness inherent in natural language terms.
Skills Knowledge
  • understand the notion of vagueness and the approach to deal with vagueness by means of logic
  • be able to design a formal framework for modelling situations/processes involving vagueness
  • design and apply a suitable proof system for model-theoretically defined propositional logics,
  • determine the algebraic semantics of a (possibly non-classical) propositional logic
  • prove the (algebraic, standard) completeness of a (possibly non-classical) propositional logic
Basics of lattice theory, model-theoretic definition of propositional logics, Hilbert-style proof systems, soundness and completeness, classical propositional logic, Boolean algebras, t-norm based many-valued logics, residuated lattices, Basic Logic, BL-algebras, Lukasiewicz logic, MV-algebras.
Criteria for evaluation Presentation of homework
Methods Weekly exercise sheets as homework, discussion of the solutions.
Language English and French
Changing subject? No
Earlier variants They also cover the requirements of the curriculum (from - to)
201WIMSMVLU20: UE Manyvalued Logic (2020W-2025S)
TM1WMUEFUZL: UE Fuzzy logic (1998W-2020S)
On-site course
Maximum number of participants 25
Assignment procedure Direct assignment