Commutativity of Quantifiers in Varying-Domain Kripke Models

  • Robert GoldblattEmail author
  • Ian Hodkinson
Part of the Trends in Logic book series (TREN, volume 28)


A possible-worlds semantics is defined that validates the main axioms of Kripke’s original system for first-order modal logic over varying-domain structures. The novelty of this semantics is that it does not validate the commutative quantification schema x y φ y x φ, as we show by constructing a counter-model.


possible-worlds semantics commutative quantification premodel model Kripkean model 


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Centre for Logic, Language and ComputationVictoria UniversityWellingtonNew Zealand
  2. 2.Department of ComputingImperial College LondonLondonUK

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