Abstract
Some constraints on higher order functions (maps from relations (or from sets and relations) to sets of type 〈1〉 quantifiers are studied. Such functions are denoted by ”higher order” anaphors and comparatives. The constraints studied here are generalisations of similar constraints holding for ”simple” functions from relations to sets denoted by ”simple” anaphors and comparatives. Simple functions satisfy either predicate invariance or argument invariance. I propose a generalisation of these constraints. This generalisation makes it possible to spell out more formally differences and similarities between ”simple” anaphors like himself and ”higher order” anaphors like each other on the one hand, and between simple comparatives (like the greatest number of books) and ”higher order” comparatives (like the same books) on the other.
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Zuber, R. (2014). Generalising Predicate and Argument Invariance. In: Asher, N., Soloviev, S. (eds) Logical Aspects of Computational Linguistics. LACL 2014. Lecture Notes in Computer Science, vol 8535. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43742-1_13
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DOI: https://doi.org/10.1007/978-3-662-43742-1_13
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