The paper offers a formal account of the discourse behaviour of participles, which to some extent behave like main clauses in having semantically undetermined relations to their matrix clause, but which should nevertheless be integrated into the compositional semantics of complex sentences. The theory is developed on the basis of Ancient Greek participles and offers an account of their syntax, semantics and discourse behaviour (focusing on the temporal dimension of discourse), integrating Lexical-Functional Grammar, Compositional DRT and Segmented DRT using Glue semantics. http://dx.doi.org/10.3765/sp.4.8 BibTeX info
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Bary et al. (2011) studied this question.