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November 2019 A Family of Neighborhood Contingency Logics
Jie Fan
Notre Dame J. Formal Logic 60(4): 683-699 (November 2019). DOI: 10.1215/00294527-2019-0025

Abstract

This article proposes the axiomatizations of contingency logics of various natural classes of neighborhood frames. In particular, by defining a suitable canonical neighborhood function, we give sound and complete axiomatizations of monotone contingency logic and regular contingency logic, thereby answering two open questions raised by Bakhtiari, van Ditmarsch, and Hansen. The canonical function is inspired by a function proposed by Kuhn in 1995. We show that Kuhn’s function is actually equal to a related function originally given by Humberstone.

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Jie Fan. "A Family of Neighborhood Contingency Logics." Notre Dame J. Formal Logic 60 (4) 683 - 699, November 2019. https://doi.org/10.1215/00294527-2019-0025

Information

Received: 8 November 2017; Accepted: 20 September 2018; Published: November 2019
First available in Project Euclid: 4 October 2019

zbMATH: 07167763
MathSciNet: MR4019867
Digital Object Identifier: 10.1215/00294527-2019-0025

Subjects:
Primary: 03B45

Rights: Copyright © 2019 University of Notre Dame

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Vol.60 • No. 4 • November 2019
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