Intuitionistic modal logics: a minimal setting
Philippe Balbiani, \c{C}igdem Gencer
TL;DR
This paper introduces a new minimal intuitionistic modal logic that is a subset of IK, aiming to serve as the simplest normal intuitionistic modal logic.
Contribution
It defines a minimal intuitionistic modal logic within the broader IK framework, filling a gap in the logical landscape.
Findings
The logic is strictly contained in IK.
It is a candidate for the minimal normal intuitionistic modal logic.
Abstract
We introduce an intuitionistic modal logic strictly contained in the intuitionistic modal logic IK and being an appropriate candidate for the title of ``minimal normal intuitionistic modal logic''.
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Taxonomy
TopicsLogic, Reasoning, and Knowledge · Multi-Agent Systems and Negotiation · Semantic Web and Ontologies