Bimodal Logic with Contingency and Accident: Bisimulation and Axiomatizations

Logica Universalis 15 (2):123-147 (2021)

Abstract

In this paper, a suitable notion of bisimulation is proposed for the bimodal logic with contingency and accident. We obtain several van Benthem Characterization Theorems, and axiomatize the bimodal logic over the class of Eulidean frames and over some more restricted classes, showing their strong completeness via a novel strategy, thereby answering two open questions raised in the literature. With the new bisimulation notion, we also correct an error in the expressivity results in the literature.

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References found in this work

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Citations of this work

A Unified Logic for Contingency and Accident.Jie Fan - 2022 - Journal of Philosophical Logic 51 (4):693-720.

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