Record link: 
http://hdl.handle.net/20.500.12708/230334
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Title: 
SMT-Based Deontic Reasoning for Åqvist Logics
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Citation: 
Köll, C., Ciabattoni, A., & Rozplokhas, D. (2026). SMT-Based Deontic Reasoning for Åqvist Logics. In A. Biere, C. Lutz, & S. Negri (Eds.), Automated Reasoning : 13th International Joint Conference, IJCAR 2026, Lisbon, Portugal, July 26–29, 2026, Proceedings, Part I (pp. 455–464). Springer Cham. https://doi.org/10.1007/978-3-032-32589-1_27
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Publisher DOI: 
10.1007/978-3-032-32589-1_27
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Publication Type: 
Inproceedings - Full-Paper Contribution
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Language: 
English
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Authors: 
Köll, Christian 
Ciabattoni, Agata 
Rozplokhas, Dmitry 
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Organisational Unit: 
E192-05 - Forschungsbereich Theory and Logic 
E056-13 - Fachbereich LogiCS 
E056-23 - Fachbereich Innovative Combinations and Applications of AI and ML (iCAIML) 
E056-27 - Fachbereich Digital Humanism 
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Published in: 
Automated Reasoning : 13th International Joint Conference, IJCAR 2026, Lisbon, Portugal, July 26–29, 2026, Proceedings, Part I 
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ISBN: 
978-3-032-32588-4
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Volume: 
16688
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DOI of the book: 
10.1007/978-3-032-32589-1
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Date (published): 
24-Jul-2026
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Event name: 
13th International Joint Conference Automated Reasoning (IJCAR 2026) 
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Event date: 
26-Jul-2026 - 29-Jul-2026
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Event place: 
Lissabon, Portugal
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Number of Pages: 
10
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Publisher: 
Springer Cham, Cham
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Peer reviewed: 
Yes
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Keywords: 
Deontic Logic; Normative Reasoning; SMT Solving; Åqvist Logics
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Abstract: 
Building on the small-model constructions for Åqvist’s deontic logics introduced in, we present Deo-SMT, an SMT-based reasoner implemented in Z3 for checking validity and generating countermodels. Deo-SMT covers all four of Åqvist’s logics (E, F, F+(CM), G) and provides countermodel visualizations as text, matrices, and directed graphs. Our tool outperforms the existing Isabelle/HOL approach, while providing a lightweight and accessible interface for normative reasoning.
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Research Areas: 
Logic and Computation: 100%
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Science Branch: 
1020 - Informatik: 80%
1010 - Mathematik: 20%
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Appears in Collections:
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