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» Jim de GrootJim de Groot
Most of my life I've lived in Amsterdam. I studied maths at the University of Amsterdam. After my master's there I moved to Australia to do a PhD under the supervision of Dirk Pattinson.
Roughly, I am interested in categorical dualities in logic. Here are some more specific questions I sometimes think about.
- In our recent paper Dirk and I proposed the idea of dialgebraic logic, which provide a coalgebra-like framework for modal logics. All examples we gave are modal extensions of intuitionistic logics. I'm wondering if there are more logical paradigms that fit the framework of dialgebraic logic.
- Yosida duality is a duality for compact Hausdorff spaces with certain Riesz spaces. I'm curious if there is a natural description of the Yosida dual of the Vietoris functor and whether this gives rise to an interesting modal logic. (The Vietoris functor is of course well known from its appearance in modal logic over a classical base.)
- More to come
Submitted
- A Coalgebraic Approach to Dualities for Neighborhood Frames
Jim de Groot, Submitted June 2021 - Characterising Positive Fragments of Monotone Modal Logic
Jim de Groot, Submitted April 2021 - Hennessy-Milner and Van Benthem for Instantial Neighbourhood Logic
Jim de Groot, Submitted April 2021 - Thomason Duality for Instantial Neighbourhood Frames
Jim de Groot, Submitted December 2020 - Modal Meet-Implication Logic
Jim de Groot & Dirk Pattinson, Submitted December 2020 - Goldblatt-Thomason Theorems for Modal Intuitionistic Logics
Jim de Groot, Submitted November 2020 - Coalgebraic Geometric Logic: Basic Theory
Nick Bezhanishvili, Jim de Groot & Yde Venema, Submitted March 2020
Accepted
- Gödel-McKinsey-Tarski and Blok-Esakia for Heyting-Lewis Implication (technical report on arXiv)
Jim de Groot, Tadeusz Litak & Dirk Pattinson, Accepted at LICS 2021 - Hennessy-Milner Properties via Topological Compactness (pdf on arXiv)
Jim de Groot & Dirk Pattinson, Accepted for publication at I&C, 2021 - Positive Monotone Modal Logic
Jim de Groot, Studia Logica, 2021 - Logic-Induced Bisimulations (report version with proofs)
Jim de Groot, Helle Hvid Hansen & Alexander Kurz, AiML 2020 - Modal Intuitionistic Logics as Dialgebraic Logics (pdf, video)
Jim de Groot & Dirk Pattinson, LICS 2020 - Duality for Instantial Neighbourhood Logic via Coalgebra (pdf)
Nick Bezhanishvili, Sebastian Enqvist & Jim de Groot, CMCS 2020 - Hennessy-Milner Properties for (Modal) Bi-intuitionistic Logic
Jim de Groot & Dirk Pattinson, WoLLIC 2019 - Coalgebraic Geometric Logic
Nick Bezhanishvili, Jim de Groot & Yde Venema, CALCO 2019
