Call
In mathematical logic, monadic second-order logic is the fragment of second-order logic where the second-order quantification is limited to quantification over sets. It is particularly important in the logic of graphs, because of Courcelle's theorem, which provides algorithms for evaluating monadic second-order formulas over graphs of bounded treewidth. It is also of fundamental importance in automata theory, where the Büchi-Elgot-Trakhtenbrot theorem gives a logical characterization of the regular languages.
Second-order logic allows quantification over predicates. However, MSO is the fragment in which second-order quantification is limited to monadic predicates. This is often described as quantification over "sets" because monadic predicates are equivalent in expressive power to sets.
Talk Doctor Online in Bissoy App