TTR for Natural Language Semantics 2
Résumé
In this paper we have presented a theory which encompasses both the analysis
1219 of dialogue structure and the traditional concerns of formal semantics. Our
1220 main claim is that the two should not be separated. We have used a rich type
1221 theory (TTR – type theory with records) in order to achieve this. The main
1222 advantages of TTR is that it presents a theory of types which are structured
1223 in a similar way to feature structures as employed in feature-based approaches
1224 to grammar while at the same time being a type theory including a theory
1225 of functions corresponding to the λ-calculus which can be used for a highly
1226 intensional theory of semantic interpretation. This type theory can be used to
1227 formulate both compositional semantics and the theory of dialogue structure
1228 embodied by KoS (Ginzburg, 2012). Among other things we have shown how
1229 these tools can be used to create a theory of events (both non-linguistic and
1230 linguistic) and thereby create a theory of grammar grounded in the percep-
1231 tion of speech events. We have shown how these tools enable us to give an
1232 account of the kind of abstract entities needed for semantic analysis, such as
1233 propositions and questions. We have also shown how the same tools can be
1234 used to given an account of dialogue gameboards and dialogic interaction.
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