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Logic Journal of IGPL 2002 10(2):191-226; doi:10.1093/jigpal/10.2.191
© 2002 by Oxford University Press
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Original Article

A Fibring Semantic or the Semantic-Morphological Interface in Natural Language

Ralf Naumann

Seminar für Allgemeine Sprachwissenschaft, University of Düsseldorf, Germany. E-mail: naumann{at}mail.phil-fak.uni-duesseldorf.de

Lexical Decomposition Grammar assumes that there is a flow of information in grammar that constrains the distribution of linguistic information at the different levels of grammatic representation. In particular, there is a flow of information from the semantic to the morphological level. Particular argument positions correspond to particular cases. This relationship is mediated by intervening constraints at other levels like the theta structure and the syntactic level.

In this paper a formal reconstruction of the flow of information is presented. The grammar is represented by a tuple < S1, ..., Sn, {gamma}1, ..., {gamma}m >. Each Si is the substructure corresponding to the i-th level of linguistic analysis and each {gamma}j is a mapping relating the domains of two substructures. If S and S' are related by some {gamma}, this means that elements of the domain DS ‘constrain’ the information associated with objects from the domain DS' in the sense that if some d DS satisfies the information expressed by {phi}, then {gamma}(d) DS' satisfies the information expressed by {psi}. Second, appropriate languages (logics) to talk about the structures are defined. The combination of different ontologies is reflected at the syntactic level by fibring these languages across each other. This means that instead of building a language L over a base of propositional variables VAR, it is defined over a base which corresponds to the wffs of a second language L'. The resulting language L(L'), ‘L layered over L'’, has two layers: a top layer consisting of the non-atomic formulas and a base layer built by means of the formulas from L'.1

Received 2 October 2000. Revised 5 March 2002.


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