Nach positiver Absolvierung der Lehrveranstaltung sind Studierende in der Lage sind Studierende in der Lage unterschiedliche Nichtmonotone Logiken zu benennen und zu erläutern, sowie theoretische Zusammenhänge korrekt zu argumentieren.
Nonmonotonic reasoning deals with the analysis and formalisation of rational conclusions. Such conclusions are characterised by the feature that they are defeasible, i.e., that they can be invalidated by new information. This is in contrast to classical logic where the conclusion of a set of premisses remains derivable even if the premisses are arbitrarily enlarged (and reasoning may reduce to triviality because of the well-known classical principle of ex falso sequitur quodlibet, which allows the derivation of any conclusion from inconsistent premisses). Rational conclusions, however, try to retain consistency.
In this course, we discuss several nonmonotonic formalisms, their basic properties and proof-theoretical axiomatisations.
