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In linguistics, word order (also known as linear order) is the order of the syntactic constituents of a language. Word order typology studies it from a cross-linguistic perspective, and examines how languages employ different orders. Correlations between orders found in different syntactic sub-domains are also of interest. The primary word ...
If L is a linear language and M is a regular language, then the intersection is again a linear language; in other words, the linear languages are closed under intersection with regular sets. Linear languages are closed under homomorphism and inverse homomorphism. [3] As a corollary, linear languages form a full trio. Full trios in general are ...
In linguistics, syntax (/ ˈ s ɪ n t æ k s / SIN-taks) [1] [2] is the study of how words and morphemes combine to form larger units such as phrases and sentences.Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure (constituency), [3] agreement, the nature of crosslinguistic variation, and the relationship between form and meaning ().
In mathematics, a total order or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation ≤ {\displaystyle \leq } on some set X {\displaystyle X} , which satisfies the following for all a , b {\displaystyle a,b} and c {\displaystyle c} in X {\displaystyle X} :
In mathematics, the lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the dictionaries to sequences of ordered symbols or, more generally, of elements of a totally ordered set. There are several variants and generalizations of the lexicographical ordering.
In Linear Unit Grammar (2006), the authors describe their "study of language in use and how people manage it, handle it, cope with it and interpret it". [3] It is a "descriptive apparatus and method which aims at integrating all or most of the superficially different varieties of English."
(This means that the X-bar theory indirectly assumes that speakers have in their Universal Grammar a rule that determines the canonical linear order for them, depending on their native language.) On the other hand, under the Minimalist Program, there is no such canonical fundamentals since the lexical array does not constitute an ordered set .
If linear order is taken to be (in a sense) secondary in this manner, discontinuities present less of a challenge and are therefore of secondary importance to the theory. Other dependency grammars, in contrast, take linear and hierarchical order to be of equal importance.