Recent publications
Article
van der Giessen, I 2023, 'Admissible rules for six intuitionistic modal logics', Annals of Pure and Applied Logic, vol. 174, no. 4, 103233. https://doi.org/10.1016/j.apal.2022.103233
van der Giessen, I & Iemhoff, R 2021, 'Sequent calculi for intuitionistic Gödel-Löb logic', Notre Dame Journal of Formal Logic, vol. 62, no. 2, pp. 221-246. https://doi.org/10.1215/00294527-2021-0011
van der Giessen, I, Geuvers, H & Hurkens, T 2019, 'Strong normalization for truth table natural deduction', Fundamenta Informaticae, vol. 170, no. 1-3, pp. 139-176. https://doi.org/10.3233/FI-2019-1858
Conference contribution
Das, A, van der Giessen, I & Marin, S 2024, Intuitionistic Gödel-Löb Logic, à la Simpson: Labelled Systems and Birelational Semantics. in A Murano & A Silva (eds), 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024). Leibniz International Proceedings in Informatics, LIPIcs, vol. 288, Schloss Dagstuhl, pp. 22:1-22:18, 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024), Naples, Italy, 19/02/24. https://doi.org/10.4230/LIPIcs.CSL.2024.22
Férée, H, van der Giessen, I, van Gool, S & Shillito, I 2024, Mechanised Uniform Interpolation for Modal Logics K, GL, and iSL. in C Benzmüller, MJH Heule & RA Schmidt (eds), Automated Reasoning: 12th International Joint Conference, IJCAR 2024, Nancy, France, July 3-6, 2024, Proceedings, Part II. vol. 2, Lecture Notes in Computer Science, vol. 14740, Springer, pp. 43-60. https://doi.org/10.1007/978-3-031-63501-4_3
Shillito, I, van der Giessen, I, Goré, R & Iemhoff, R 2023, A new calculus for intuitionistic Strong Löb logic: strong termination and cut-elimination, formalised. in R Ramanayake & J Urban (eds), Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2023. Lecture Notes in Computer Science, vol. 14278, pp. 73-93. https://doi.org/10.1007/978-3-031-43513-3_5
van der Giessen, I, Jalali, R & Kuznets, R 2023, Extensions of K5: proof theory and uniform Lyndon interpolation. in R Ramanayake & J Urban (eds), Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2023. Lecture Notes in Computer Science, vol. 14278, pp. 263-282. https://doi.org/10.1007/978-3-031-43513-3_15
van der Giessen, I 2021, Exploring a result by Ghilardi: projective formulas vs. the extension property. in M Blicha & I Sedlar (eds), The Logica Yearbook 2020. The Logica Yearbook, College Publications, pp. 97-114. <https://www.collegepublications.co.uk/logica/?00034>
van der Giessen, I, Jalali, R & Kuznets, R 2021, Uniform interpolation via nested sequents. in Logic, Language, Information, and Computation: 27th International Workshop, WoLLIC 2021, Virtual Event, October 5–8, 2021, Proceedings. Lecture Notes in Computer Science, vol. 13038, Springer, pp. 337-354. https://doi.org/10.1007/978-3-030-88853-4_21
Doctoral Thesis
van der Giessen, I 2022, 'Uniform Interpolation and Admissible Rules: Proof-theoretic investigations into (intuitionistic) modal logics', Utrecht University. https://doi.org/10.33540/1486
Special issue
van der Giessen, I & Iemhoff, R 2020, 'Proof theory for intuitionistic strong Löb logic', Special Volume of the Workshop Proofs! held in Paris in 2017.
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