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Logical Polysemy and Subtyping

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New Frontiers in Artificial Intelligence (JSAI-isAI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7856))

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Abstract

This paper aims at providing a type-theoretical analysis of accidental/logical polysemy with a solution to the problems of copredication constructions discussed in Asher (2011). The main idea consists of 1) a generalization of subtyping which denotes an injection and allows it to be used in functional composition rules, as in CCG, and 2) a certain interaction between subtyping and type polymorphism which plays an important role in achieving compositionality.

We offer our sincere thanks to the participants at LENLS9, who provided insightful comments, especially Hans Kamp, Chugmin Lee, Alastair Butler, Kazuhiko Fukushima, and also to the anonymous reviewers of LENLS9. Special thanks go to Yuki Nakano for many discussions in our research group. The research conducted by Daisuke Bekki is partially supported by a Grant-in-Aid for Young Scientists (A) (No. 22680013) from the Ministry of Education, Culture, Sports, Science and Technology.

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Bekki, D., Asher, N. (2013). Logical Polysemy and Subtyping. In: Motomura, Y., Butler, A., Bekki, D. (eds) New Frontiers in Artificial Intelligence. JSAI-isAI 2012. Lecture Notes in Computer Science(), vol 7856. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39931-2_2

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  • DOI: https://doi.org/10.1007/978-3-642-39931-2_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39930-5

  • Online ISBN: 978-3-642-39931-2

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