4 papers
Intuitionistic K is a Bisimulation-Invariant Fragment of Intuitionistic First-Order Logic
Jim de Groot, João Marcos, Rodrigo Stefanes
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 o…
Intuitionistic Monotone Modal Logic: Proof Theory and Semantics
Tiziano Dalmonte, Jim de Groot
We study the recently introduced intuitionistic monotone modal logic IM. We first provide a semantic characterisation for a family of natural extensions of IM in terms of construct…
Modal Measurable Logics via a Modal Loomis-Sikorski Representation Theorem
Nick Bezhanishvili, Jim de Groot, Lawrence S. Moss
We investigate a modal extension of the infinitary classical logic with countable meets and joins, formulated with an eye toward measure-theoretic work in dynamical systems and in…
Relational Semantics for Flat Heyting-Lewis Logic
Jim de Groot, Tadeusz Litak
We introduce relational semantics for "flat Heyting-Lewis logic" HLC-flat. This logic arises as the extension of intuitionistic logic with a Lewis-style strict implication modality…