Standpoint semantics for polysemy in spatial prepositions

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2020-03-16
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RODRIGUES, E. J.
Paulo Santos
LOPES, M.
BENNETT, B.
OPPENHEIMER, P. E.
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Journal of Logic and Computation
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RODRIGUES, E. J.; SANTOS, P.; LOPES, M.; BENNETT, B.; OPPENHEIMER, P. E. Standpoint semantics for polysemy in spatial prepositions. Journal of Logic and Computation, v. 30, n. 2, p. 635-661, march, 2020.
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© 2020 The Author(s) 2020. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permission@oup.com.In this paper, we present a formalism for handling polysemy in spatial expressions based on supervaluation semantics called standpoint semantics for polysemy (SSP). The goal of this formalism is, given a prepositional phrase, to define its possible spatial interpretations. For this, we propose to characterize spatial prepositions by means of a triplet $\langle $image schema, semantic feature, spatial axis$\rangle $. The core of SSP is predicate grounding theories, which are formulas of a first-order language that define a spatial preposition through the semantic features of its trajector and landmark. Precisifications are also established, which are a set of formulae of a qualitative spatial reasoning formalism that aims to provide the spatial characterization of the trajector with respect to the landmark. In addition to the theoretical model, we also present results of a computational implementation of SSP for the preposition 'in'.

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