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<Paper uid="W04-0911">
  <Title>Lexical-Semantic Interpretation of Language Input in Mathematical Dialogs</Title>
  <Section position="8" start_page="0" end_page="0" type="concl">
    <SectionTitle>
7 Conclusion and Further Work
</SectionTitle>
    <Paragraph position="0"> In this paper, we reported on the use of deep syntactic and semantic analysis in the interpretation of mathematical discourse in a dialog setting. We presented an approach that uses domain-motivated semantic lexicon to mediate between a domain-independent representation of linguistic meaning of utterances and their domain-specific interpretation.</Paragraph>
    <Paragraph position="1"> We are incrementally extending the coverage of the deep analysis components. Our current parser grammar and upper-level ontology cover most of the constructions and concepts that occur most frequently in our corpus. The module will be evaluated as part of the next Wizard-of-Oz experiment.</Paragraph>
    <Paragraph position="2"> We are planning to investigate the possibility of using FrameNet resources developed within the SALSA project (Erk et al., 2003) at the intermediate interpretation stage between the linguistic meaning and domain-specific interpretation. Presently, the semantic lexicon we have constructed encodes, for instance, a general conceptual relation of CON-TAINMENT evoked by the verb &amp;quot;enthalten&amp;quot; (&amp;quot;contain&amp;quot;), with dependents in relations Actor and Patient, which corresponds to the FrameNet CONTAINING domain with frame elements CONTAINER and CONTENTS. In the course of further work, we would like to investigate ways of establishing interface between the linguistic meaning TRs and frame elements, and attempt to use FrameNet to interpret predicates unknown to our semantic lexicon. Taking a hypothetical example, if our parser grammar encoded the meaning of the verb &amp;quot;beinhalten&amp;quot; (with the intended meaning contain) in the same linguistic meaning frame as &amp;quot;enthalten&amp;quot; (contain), while the sense of &amp;quot;beinhalten&amp;quot; were not explicitly defined in the semantic lexicon, we could attempt to interpret it using the FrameNet CONTAINING domain and the existing lexical semantic entry for &amp;quot;enthalten&amp;quot;. null</Paragraph>
  </Section>
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