I In this paper we present algorithms for the interpretation and generation of a kind of particu- larized conversational implicature occurring in cer- tain indirect replies. Our algorithms make use of discourse expectations, discourse plans, and dis- course relations. The algorithms calculate implica- tures of discourse units of one or more sentences. Our approach has several advantages. First, by taking discourse relations into account, it can cap- ture a variety of implicatures not handled before. Second, by treating implicatures of discourse units which may consist of more than one sentence, it avoids the limitations of a sentence-at-a-time ap- proach. Third, by making use of properties of dis- course which have been used in models of other dis- course phenomena, our approach can be int...

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