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<Paper uid="E93-1038">
  <Title>Formal Properties of Metrical Structure</Title>
  <Section position="2" start_page="0" end_page="0" type="intro">
    <SectionTitle>
1 Introduction
</SectionTitle>
    <Paragraph position="0"> 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.</Paragraph>
    <Paragraph position="1"> 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 \[Coleman and Local, 1991; Bird, 1990; Bird and Klein, 1990\]) 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 phonolog~y nowadays, the bracketed grids framework.</Paragraph>
    <Paragraph position="2"> 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 (e.g. the \[sw\] labeled trees of \[Hayes, 1981\] and related work) are equivalent. In this paper, I study this intuition in some formal detail and show that it is wrong.</Paragraph>
    <Paragraph position="3"> Secondly, one can wonder what the exact relation is between higher-order metrical structure (foot, word) and subsyllabic structure. In this paper I will show that apart from a fewempirically unimportant details, bracketed grids are equivalent to the kind of subsyllabic structure that is advocated by \[Kaye, et al., 1985\], \[1990\] t.</Paragraph>
  </Section>
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