| Summary: | Self-organising Logic of Structures as a Basis for a Dependency-based Dynamic Semantics Model
We present Self-organising Logic of Structures (SLS), a semantic representation language of high expressive power, which was designed for a fully compositional representation of discourse anaphora following the Dynamic Semantics paradigm. The application of SLS to the description of possible meanings of Polish multiple quantifier sentences is discussed. Special attention is paid to the phenomena of: cardinality dependency/independency of Noun Phrase quantifiers and variety of quantification. Semantic representation based on several formal operators is proposed. They can be combined in many different ways, if one takes a purely theoretical perspective. However, in the paper we show that this huge number is practically reduced in the language use and is governed by several constraints motivated by the analysis of Polish language data. The Hypothesis of Local Range of Cardinality Dependency is formulated as an alternative to representations based on quantifier rising technique. SLS provides a multi-layered language description of inter-linked representation of sever antification, reference, presupposition and anaphora.
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