A family of neighborhood contingency logics

J Fan - 2019 - projecteuclid.org
This article proposes the axiomatizations of contingency logics of various natural classes of
neighborhood frames. In particular, by defining a suitable canonical neighborhood function …

Bisimulations for knowing how logics

R Fervari, FR Velázquez-Quesada… - The Review of Symbolic …, 2022 - cambridge.org
As a new type of epistemic logics, the logics of knowing how capture the high-level
epistemic reasoning about the knowledge of various plans to achieve certain goals. Existing …

Neighborhood contingency logic: A new perspective

J Fan - arXiv preprint arXiv:1802.02291, 2018 - arxiv.org
In this paper, we propose a new neighborhood semantics for contingency logic, by
introducing a simple property in standard neighborhood models. This simplifies the …

Bisimulation for weakly expressive coalgebraic modal logics

Z Bakhtiari, H Hvid Hansen - 7th Conference on Algebra and …, 2017 - drops.dagstuhl.de
Research on the expressiveness of coalgebraic modal logics with respect to semantic
equivalence notions has so far focused mainly on finding logics that are able to distinguish …

A coalgebraic approach to dualities for neighborhood frames

G Bezhanishvili, N Bezhanishvili… - Logical Methods in …, 2022 - lmcs.episciences.org
We develop a uniform coalgebraic approach to J\'onsson-Tarski and Thomason type
dualities for various classes of neighborhood frames and neighborhood algebras. In the first …

A unified logic for contingency and accident

J Fan - Journal of Philosophical Logic, 2022 - Springer
Abstract As shown in Fan (Journal of Philosophical Logic, 48, 425–445, 2019), there are
some similarities/resemblances between contingency and accident. Given this, one may …

Logic-induced bisimulations

J de Groot, HH Hansen, A Kurz - arXiv preprint arXiv:2008.09238, 2020 - arxiv.org
We define a new logic-induced notion of bisimulation (called $\rho $-bisimulation) for
coalgebraic modal logics given by a logical connection, and investigate its properties. We …

[PDF][PDF] Dualities in modal logic

J De Groot - 2022 - core.ac.uk
Categorical dualities are an important tool in the study of (modal) logics. They offer
conceptual understanding and enable the transfer of results between the different semantics …

A road to ultrafilter extensions

J Fan - Dynamics, Uncertainty and Reasoning: The Second …, 2019 - Springer
We propose a uniform method of constructing ultrafilter extensions from canonical models,
which is based on the similarity between ultrafilters and maximal consistent sets. This …

A sequence of neighborhood contingency logics

J Fan - arXiv preprint arXiv:1802.03516, 2018 - arxiv.org
This note proposes various axiomatizations of contingency logic under neighborhood
semantics. In particular, by defining a suitable canonical neighborhood function, we give …