@proceedings {martens2012formal,
	title = {A formal approach to vague expressions with indexicals},
	journal = {Logic and Engineering of Natural Language Semantics 9 (LENLS 9-2012)},
	year = {2012},
	pages = {37-51},
	publisher = {Japanese Society for Artificial Intelligence},
	abstract = {<p>In this paper, we offer a formal approach to the scantily investigated problem of vague expressions with indexicals, in particular including the spatial indexical {\textquoteleft}here{\textquoteright} and the temporal indexical {\textquoteleft}now{\textquoteright}. We present two versions of an adaptive fuzzy logic extended with an indexical, formally expressed by a modifier as a function that applies to predicative formulas. In the first version, such an operator is applied to non-vague predicates. The modified formulas may have a fuzzy truth value and fit into a Sorites paradox. We use adaptive fuzzy logics as a reasoning tool to address such a paradox. The modifier enables us to offer an adequate explication of the dynamic reasoning process. In the second version, a different result is obtained for an indexical applied to a formula with a possibly vague predicate, where the resulting modified formula has a crisp value and does not add up to a Sorites paradox.</p>},
	author = {Martens, Liesbeth and Primiero, Giuseppe}
}
