Henkin Completeness of Some Instantial Neighbourhood Logics

In this note the Henkin-Style construction of a canonical model for Instantial Neighbourhood Logic is addressed. This answers an open question raised in van Benthem at al.'s 2017 article which introduced these interesting neighbourhood logics. After discussing the construction for that logic, Henkin-style constructions are undertaken for the unary fragment of Instantial Neighbourhood logic because, as is noted in the text, the construction offered for the canonical models for full INL would extend beyond that fragment.

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Publication Details

Journal
The Australasian Journal of Logic
Published
2026-03-12
DOI
https://doi.org/10.26686/ajl.v23i2.10308
Primary Topic
Logic, Reasoning, and Knowledge
Type
article
Field-Weighted Citation Impact
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article

Henkin Completeness of Some Instantial Neighbourhood Logics

T. D. P. Brunet, Gillman Payette
The Australasian Journal of Logic
Logic, Reasoning, and Knowledge
article

Henkin Completeness of Some Instantial Neighbourhood Logics

T. D. P. Brunet, Gillman Payette
article en

Abstract

In this note the Henkin-Style construction of a canonical model for Instantial Neighbourhood Logic is addressed. This answers an open question raised in van Benthem at al.'s 2017 article which introduced these interesting neighbourhood logics. After discussing the construction for that logic, Henkin-style constructions are undertaken for the unary fragment of Instantial Neighbourhood logic because, as is noted in the text, the construction offered for the canonical models for full INL would extend beyond that fragment.

The Australasian Journal of LogicVol. 23(2)
University of Calgary (CA), University of Exeter (GB)
Sustainable cities and communities
Openalex Percentile: Top 28%
Logic, Reasoning, and Knowledge
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