tailieunhanh - Báo cáo khoa học: "Formal Properties of Metrical Structure"

This paper offers a provisional mathematical typology of metrical representations. First, a family of algebras corresponding to different versions of grid and bracketed grid theory is introduced. It is subsequently shown in what way bracketed grid theory differs from metrical theories using trees. Finally, we show that there are no significant differences between the formalism of bracketed grids (for metrical structure) and the representation used in the work of [Kaye, et al., 1985], [1990] for subsyllabic structure. . | Formal Properties of Metrical Structure Marc van Oostendorp Werkverband Grammaticamodellen Tilburg University 90153 5000 LE Tilburg The Netherlands oostendo@kub. nl Abstract This paper offers a provisional mathematical typology of metrical representations. First a family of algebras corresponding to different versions of grid and bracketed grid theory is introduced. It is subsequently shown in what way bracketed grid theory differs from metrical theories using trees. Finally we show that there are no significant differences between the formalism of bracketed grids for metrical structure and the representation used in the work of Kaye ei al. 1985 1990 for subsyllabic structure. 1 Introduction The most well-known characteristic of Non-linear Phonology is that it shifted its attention from the theory of rules like in Chomsky and Halle 1968 to the theory of representations. During the last decade phonologists have developed a theory of representations that is sufficiently rich and adequate to describe a wide range of facts from the phonologies of various languages. It is a fairly recent development that these representations are being studied also from a purely formal point of view. There has been done some work on autosegmental structure for instance Coleman and LocalỴ 1991 Bird 1990 Bird and Klein 1990 and also some work on metrical trees like Coleman 1990 Coleman 1992 in unification phonology and Wheeler 1981 Moortgat and Morrill 1991 in categorial logics . As far as I know apart from the pioneering work by Halle and Vergnaud 1987 hitherto no attention has been paid to the formal aspects of the most popular framework of metrical phonology nowadays the bracketed grids framework. Yet a lot of questions have to be answered with regard to bracketed grids. First of all some authors for instance Van der Hulst 1991 have expressed the intuition that bracketed grids and tree structures . the sw labeled trees of Hayes 1981 and related work are equivalent. In this .

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