Abstract
This paper focuses on formal properties of functions satisfying a weak conservativity, a generalisation of classical conservativity, a well known constraint on the denotations of unary determiners. Informally, classically conservative determiners are determiners which are conservative “on the right” whereas weakly conservative determiners can be conservative “on the right” or “on the left”. These notions are made precise and it is shown in particular that the constraint of weak conservativity remains a very strong constraint excluding most type \(\langle 1,1\rangle \) functions and that the Boolean closure of weakly conservative functions equals the set of all type \(\langle 1,1\rangle \) functions.
Thanks to Ed Keenan for various suggestions.
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Zuber, R. (2019). Weak Conservativity. In: Iemhoff, R., Moortgat, M., de Queiroz, R. (eds) Logic, Language, Information, and Computation. WoLLIC 2019. Lecture Notes in Computer Science(), vol 11541. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-59533-6_40
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DOI: https://doi.org/10.1007/978-3-662-59533-6_40
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