@InProceedings{kavvos:LIPIcs.FSCD.2024.14, author = {Kavvos, G. A.}, title = {{Two-Dimensional Kripke Semantics I: Presheaves}}, booktitle = {9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)}, pages = {14:1--14:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-323-2}, ISSN = {1868-8969}, year = {2024}, volume = {299}, editor = {Rehof, Jakob}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2024.14}, URN = {urn:nbn:de:0030-drops-203438}, doi = {10.4230/LIPIcs.FSCD.2024.14}, annote = {Keywords: modal logic, categorical semantics, Kripke semantics, duality, open maps} }