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A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation
Bulletin of the Section of Logic, Tome 48 (2019) no. 2, pp. 81-97.

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This paper presents a way of formalising definite descriptions with a binary quantifier ℩, where ℩x[F, G] is read as `The F is G'. Introduction and elimination rules for ℩ in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ℩x[F, G] are given, and it is shown that deductions in the system can be brought into normal form.
Keywords: definite descriptions, negative intuitionist free logic, natural deduction, normalization 
@article{BSL_2019_48_2_a0,
     author = {K\"urbis, Nils},
     title = {A {Binary} {Quantifier} for {Definite} {Descriptions} in {Intuitionist} {Negative} {Free} {Logic:} {Natural} {Deduction} and {Normalisation}},
     journal = {Bulletin of the Section of Logic},
     pages = {81--97},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2019_48_2_a0/}
}
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Kürbis, Nils. A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation. Bulletin of the Section of Logic, Tome 48 (2019) no. 2, pp. 81-97. http://geodesic.mathdoc.fr/item/BSL_2019_48_2_a0/