Categorial Grammars with Iterated Types form a Strict Hierarchy of k-Valued Languages [chapter]

Denis Béchet, Alexandre Dikovsky, Annie Foret
<span title="">2011</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The notion of k-valued categorial grammars in which every word is associated to at most k types is often used in the field of lexicalized grammars as a fruitful constraint for obtaining interesting properties like the existence of learning algorithms. This constraint is reasonable only when the classes of kvalued grammars correspond to a real hierarchy of generated languages. Such a hierarchy has been established earlier for the classical categorial grammars. In this paper the hierarchy by the
more &raquo; ... -valued constraint is established in the class of categorial grammars extended with iterated types adapted to express the so called projective dependency structures.
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