Winter 2023/24
the first part of the lecture we develop axiomatic set theory (ZFC) in the framework of first-order logic, which forms the foundation of modern mathematics. We cover the axioms of set theory, ordinal numbers [...] mathematical structures, such as groups, fields, or graphs, from the point of view of mathematical logic. Many notions, such as homomorphisms, substructures, or free structures, that are commonly studied [...] models with desired properties from first-order theories and the expressive power of first-order logic. Sparsity - Graphs and algorithms 03-IMVT-SGA (03-ME-602.21) Vorlesung ECTS: 6 Termine: wöchentlich