Year: 2026
Type: article
Abstract: We define the notion of IK-bisimulation between the relational semantics for the intuitionistic modal logic IK, and prove that IK arises as the IK-bisimulation-invariant fragment of intuitionistic first-order logic.En route, we provide an intrinsic characterisation result of this logic by way of a Hennessy-Milner-style theorem and develop some intuitionistic first-order model theory, including intuitionistic analogues of Łoś's Theorem, elementary embeddings and countable saturation.
DOI: 10.4204/eptcs.447.26
Authors: Jim de Groot, João Marcos, Rodrigo Stefanes
Institutions: University of Bern, Universidade Federal de Santa Catarina
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
Funders: National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Universidade Federal de Santa Catarina, Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México
OpenAlex ID: W7166444205
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