0 a word or phrase such as ‘all’, ‘few’, or ‘a lot of’ that is used with another word to express quantity. -- kvantifikátor (jaz.)
The reader can see that there are no quantifiers over alternative paths.
Moreover, for some cases involving trees we estimate the smallest quantifier depth of a defining formula up to a factor of 1 + o(1).
The meanings of such quantifiers are extra-logical; they cannot be defined in the logic itself.
However, predicted relationships associated with quantifiers also provide an important source of information about how sentences are related.
The quantifier takes its scope by finding an appropriate dependency and consuming it through implication elimination.
This step is essentially like the process of erasing a type quantifier.
Well-formed formulae of the constraint sets are built from atomic formulae with the standard logical connectives and quantifiers.
We only describe the atomic case and the definitions that are relative to first-order quantifiers.
