NDLI: Unary Quantifiers on Finite Models

Content Provider	Springer Nature Link
Author	Väänänen, Jouko
Copyright Year	1997
Abstract	In this paper (except in Section 5) all quantifiers are assumedto be so called simple unaryquantifiers, and all models are assumedto be finite. We give a necessary and sufficientcondition for a quantifier to be definablein terms of monotone quantifiers. For amonotone quantifier we give a necessaryand sufficient condition for beingdefinable in terms of a given set of bounded monotonequantifiers. Finally, we give a necessaryand sufficient condition for a monotonequantifier to be definable in terms of agiven monotone quantifier.Our analysis shows that the quantifier’’at least one half” and its relatives behavedifferently than other monotone quantifiers.
Starting Page	275
Ending Page	304
Page Count	30
File Format	PDF
ISSN	09258531
Journal	Journal of Logic, Language and Information
Volume Number	6
Issue Number	3
e-ISSN	15729583
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1997-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Logic Artificial Intelligence (incl. Robotics) Semantics
Content Type	Text
Resource Type	Article
Subject	Philosophy Computer Science Linguistics and Language

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Unary Quantifiers on Finite Models