Case in tiers
Case in tiers is a model for assigning surface case to noun phrases (NPs) in a sentence. Introduced in Yip, Maling, and Jackendoff 1987, it has received at least 88 scholarly citations according to Google Scholar. The model takes its inspiration from the seminal and at that time already successful model of prosodic morphology (McCarthy 1981), which posits that the structure of a phonological word is a stack of types of elements (e.g., vowels, consonants, syllabic pitches), with each element type being provided with its own tier of the stack. Yip et al. decompose the structure of an individual sentence into a tier of structural cases, a tier of lexical cases, and a skeletal tier of the NPs in the sentence. The structural case tier is homologous to the consonant matrix lexical root of a Semitic verb, while the lexical case tier is homologous to the set of vowels in a Semitic verb word form. The lexical cases are assigned to specific NPs in the skeletal tier. The structural cases are assigned sequentially, with the direction of assignment depending on which case alignment is the characteristic one for the language in question. For nominative–accusative alignment, the structural cases are assigned from left to right, with nominative case preceding accusative. For ergative–absolutive alignment, the direction of assignment is right to left, with absolutive preceding ergative. For instance:

Nominative alignment (English):
intransitive verb: He [NOM] ran.
transitive verb: He [NOM] sees me [ACC].
Ergative alignment (West Greenlandic) (Yip et al. 1987: 220):
intransitive verb: Kaali [ABS] pisuppoq. = 'Karl is walking.'
transitive verb: Kaalip [ERG] Hansi [ABS] takuaa. = 'Karl sees Hans.' (Sadock ex. 12a)

In debuting the model, the authors claimed for it the following achievements: unification of ergative and nominative case alignments under a single framework; accounting for the movement of lexical case with an NP in passivization; and accounting for the appearance of post-verbal nominative case in Icelandic. However, the model seemed to fail when assigning case in languages with OSV word order or free word order. It also did not correctly handle some grammatical voices, e.g., the antipassive voice.

References

McCarthy, John. 1981. A prosodic theory of non-concatenative morphology. Linguistic Inquiry  12:373-418. PDF download available at author's university site. 

Sadock, Jerrold. 1985. Autolexical Syntax.  Natural Language and Linguistic Theory 3:379-440.

Yip, Moira; Joan Maling; and Ray Jackendoff. 1987. Case in Tiers. Language June 1987, 63(2):217-250. JSTOR stable URL 

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Grammar