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Information Systems and Applied Computer Sciences

Chair for AI Systems Engineering (AISE)

  1.  University of bamberg
  2. Faculties
  3. Information Systems and Applied Computer Sciences
  4. Subject groups
  5. Applied Computer Science
  6. Chair for AI Systems Engineering (AISE)
  7. Team
  8. Prof. Dr. Christoph Benzmüller

Prof. Dr. Christoph Benzmüller

E-Mail: christoph.benzmueller(at)uni-bamberg.de

Address: An der Weberei 5, 96047 Bamberg

Office: WE_5/05.090

Tel.: +49 (0)951/863-2942

Office hours: on request

Prof. Christoph Benzmüller is since 2022 chair for AI Systems Development at the University of Bamberg. As an associate (apl.) professor he is also affiliated with the Department of Mathematics and Computer Science at Freie Universit?t Berlin (where he has been the first UNA Europa guest chair) and he maintains a close research collaboration with the University of Luxembourg. In addition, he advises AI startup companies in Germany and abroad.

Benzmüller's research interests lie at the intersection of AI/computer science, philosophy, mathematics, and language. His research shows that rational arguments can now be very well mechanized and analyzed in computers by using modern, symbolic AI technology. Benzmüller and his team have developed their own automatic theorem provers (for classical and higher-level non-classical logics) and are applying them in the fields mentioned above. Benzmüller's studies of G?del's ontological argument for the existence of God in the computer gained particular media attention. The range of applications of his work is far-reaching and concerns, among other things, the mechanisation of ethical-legal reasoning in computers, e.g., for the control of autonomous AI systems.

Benzmüller is convinced that AI, as a scientific discipline, should more strongly focus on the exploration of, and experimentation with, representing objects.* For Benzmüller, it is precisely the exploration and flexible processing of representing objects in combination with hybrid AI technology (fusion of symbolic and subsymbolic techniques) that constitues a core challenge and opportunity for the modeling of (strongly) intelligent AI systems. Explicit, declarative representations are particularly relevant for the realization of trusted and responsible AI systems, since they make normative (and other) knowledge not only transparent and explainable, but also efficiently and robustly communicable between humans and machines.

Benzmüller has conducted research as a visiting professor/scholar at numerous prestigious universities in Germany and abroad and has established a close research network. Stations in his career include: Free University of Berlin, University of Luxembourg, Stanford University (USA), International University in Germany, Cambridge University (UK), University of Birmingham (UK), University of Edinburgh (UK) and Carnegie Mellon University (USA). Benzmüller studied (1989-1995), received his PhD (1999) and habilitated (2006) at Saarland University.

Benzmüller's research activities have been funded by the DFG (Heisenberg Fellowship, Research Stipend, Research Grants, Collaborative Research Center), EPSRC/UK (Research Grant), Volkswagen Foundation (Experiment!), Studienstiftung des Deutschen Volkes (Doctoral Scholarship), ERC (Research Training Network), FNR/Luxembourg, BMBF, among others.

Prior to his academia career, Christoph Benzmüller was a successful long-distance runner at German national level.

(*The term "representing objects" goes back to the AI pioneer Wolfgang Bibel.)

 

Publications (recent selection)

Benzmüller, C., Heule, M. J. H., & Schmidt, R. A. (Eds.). (2024b). Automated Reasoning: 12th International Joint Conference: IJCAR 2024; Nancy, France, July 3–6, 2024; Proceedings: Vol. Part 1. Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-63498-7

Benzmüller, C., Heule, M. J. H., & Schmidt, R. A. (Eds.). (2024a). Automated Reasoning: 12th International Joint Conference: IJCAR 2024; Nancy, France, July 3–6, 2024;? Proceedings. Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-63501-4

Steen, A., & Benzmüller, C. (Eds.). (2024a). Künstliche Intelligenz: KI; Forschung, Entwicklung, Erfahrungen (Vol. 38, Issues 1–2, Non-Classical Reasoning). Springer.

Bayer, J., Benzmüller, C., Buzzard, K., David, M., Lamport, L., Matiyasevich, Y., Paulson, L., Schleicher, D., Stock, B., & Zelmanov, E. (2024). Mathematical Proof Between Generations. Notices of the American Mathematical Society, 71(1), 79–92. https://doi.org/10.1090/noti2860

Benzmüller, C. (2024a). Who finds the short proof?: Searching for Wormholes in Proof-Space. Dagstuhl Reports, 13(10), 6. https://doi.org/10.4230/DagRep.13.10.1

Benzmüller, C. (2024b). Logikbasierte Wissensverarbeitung. In U. Furbach, E. Kitzelmann, T. Michaeli, & U. Schmid (Eds.), Künstliche Intelligenz für Lehrkr?fte: Eine fachliche Einführung mit didaktischen Hinweisen (pp. 139–162). Springer Vieweg. https://doi.org/10.1007/978-3-658-44248-4_11

Benzmüller, C., & Andrews, P. (2024). Church’s Type Theory. Stanford Encyclopedia of Philosophy.

Benzmüller, C., & Fuenmayor, D. (2024). The LogiKEy Methodology: Applications in AI Ethics and Prospects in Logic Teaching. Formal Methods and Science in Philosophy V, International Conference, Book of AbstractS, 9–10.

Benzmüller, C., Fuenmayor, D., & Lomfeld, B. (2024). Modelling Value-Oriented Legal Reasoning in LogiKEy. Logics, 2(1), 31–78. https://doi.org/10.3390/logics2010003

Benzmüller, C., Fuenmayor, D., Steen, A., & Sutcliffe, G. (2024). Who Finds the Short Proof?. Logic Journal of the IGPL, 32(3), 442–464. https://doi.org/10.1093/jigpal/jzac082

Furbach, U., & Benzmüller, C. (2024). Schlie?en aus Wissen. In U. Furbach, E. Kitzelmann, T. Michaeli, & U. Schmid (Eds.), Künstliche Intelligenz für Lehrkr?fte: Eine fachliche Einführung mit didaktischen Hinweisen (pp. 39–50). Springer Vieweg. https://doi.org/10.1007/978-3-658-44248-4_4

H?per, L., Schulte, C., & Benzmüller, C. (2024). Verantwortung. In U. Furbach, E. Kitzelmann, T. Michaeli, & U. Schmid (Eds.), Künstliche Intelligenz für Lehrkr?fte: Eine fachliche Einführung mit didaktischen Hinweisen (pp. 219–242). Springer Vieweg. https://doi.org/10.1007/978-3-658-44248-4_16

Mühlenbeck, C., & Benzmüller, C. (2024). On the Maximum of Positive Properties and Modal Collapse in G?del’s Ontological Argument Compared to its Variants. Formal Methods and Science in Philosophy V, International Conference, Book of Abstracts, 31–32.

Parent, X., & Benzmüller, C. (2024a). Conditional normative reasoning as a fragment of HOL (Isabelle/HOL dataset). Archive of Formal Proofs.

Parent, X., & Benzmüller, C. (2024b). Conditional normative reasoning as a fragment of HOL. Journal of Applied Non-Classical Logics, 1–32. https://doi.org/10.1080/11663081.2024.2386917

Solopova, V., Herman, V., Benzmüller, C., & Landgraf, T. (2024b). Check News in One Click: NLP-Empowered Pro-Kremlin Propaganda Detection. Proceedings of the 18th Conference of the European Chapter of the Association for Computational Linguistics: System Demonstrations, 44–51.

Solopova, V., Herman, V., Benzmüller, C., & Landgraf, T. (2024a). Check News in One Click: NLP-Empowered Pro-Kremlin Propaganda Detection (pp. 1–8). arXiv. https://doi.org/10.48550/arxiv.2401.15717

Solopova, V., Romeike, R., Gl?ser-Zikuda, M., Benzmüller, C., Landgraf, T., Hofmann, F., Schie?l, J., Zhang, C., Pl??l, L., & Witte, S. (2024). AI-powered automatic feedback on reflective writing. Annual Conference of the European Teacher Education Network (ETEN) “Teacher Education – Connecting Glocal,” 1–13. https://doi.org/10.20378/irb-95237

Steen, A., & Benzmüller, C. (2024b). What are Non-classical Logics and Why Do We Need Them?: An Extended Interview with Dov Gabbay and Leon van der Torre. Künstliche Intelligenz, Online-First. https://doi.org/10.1007/s13218-023-00824-7

Steen, A., & Benzmüller, C. (2024c). Challenges for Non-Classical Reasoning in Contemporary AI Applications. Künstliche Intelligenz, Onlline First. https://doi.org/10.1007/s13218-024-00855-8

Steen, A., & Benzmüller, C. (2024d). Non-Classical Reasoning for Contemporary AI Applications. Künstliche Intelligenz, 38(1–2). https://doi.org/10.1007/s13218-024-00857-6

Steen, A., Sutcliffe, G., & Benzmüller, C. (2024). Solving Quantified Modal Logic Problems by Translation to Classical Logics. arXiv. https://doi.org/10.48550/arxiv.2212.09570

Baroni, P., Benzmüller, C., & Wáng, Y. (Eds.). (2023). Journal of logic and computation (Vol. 33, Issues 2, Special Issue: Logic and Argumentation). Oxford University Press.

Benzmüller, C., & Otten, J. (Eds.). (2023). CEUR Workshop Proceedings (Issues 3326, ARQNL 2022 Automated Reasoning in Quantified Non-Classical Logics 2022 : Proceedings of the 4th International Workshop on Automated Reasoning in Quantified Non-Classical Logics (ARQNL 2022) affiliated with the 11th International Joint Conference on Automated Reasoning (IJCAR 2022)). RWTH Aachen.

Passon, O., Benzmüller, C., & Falkenburg, B. (Eds.). (2023). On G?del and the Nonexistence of Time: G?del und die Nichtexistenz der Zeit; Kurt G?del essay competition 2021: Kurt-G?del-Preis 2021 (1st ed.). Springer Spektrum Berlin. https://doi.org/10.1007/978-3-662-67045-3

Baroni, P., Benzmüller, C., & N Wáng, Y. (2023). Preface: Special Issue on Logic and Argumentation. Journal of Logic and Computation, 33(2), 189–191. https://doi.org/10.1093/logcom/exac091

Bayer, J., Gonus, A., Benzmüller, C., & Scott, D. S. (2023). Category Theory in?Isabelle/HOL as?a?Basis for?Meta-logical Investigation. Intelligent Computer Mathematics: 16th International Conference, CICM 2023, Cambridge, UK, , September 5–8, 2023 Proceedings, 69–83. https://doi.org/10.1007/978-3-031-42753-4_5

Benzmüller, C. (2023b). Is HOL (as a metalogic) all we need for flexible normative reasoning?. Dagstuhl Reports, 13(4), 22. https://doi.org/10.4230/dagrep.13.4.1

Benzmüller, C. (2023a). Reasonable, Trusted AI through Symbolic Ethico-legal Control and Reflection? (Keynote Abstract). Proceedings of FLAIRS-36, May 14-17, 2023, Clearwater Beach, FL, 2023(36). https://doi.org/10.32473/flairs.36

Benzmüller, C. (2023c). A Simplified Variant of G?del’s Ontological Argument. In A. Vestrucci (Ed.), Beyond Babel: Religion and Linguistic Pluralism: Vol. Sophia Studies in Cross-cultural Philosophy of Traditions and Cultures ; vol 43. (1st ed., pp. 271–286). Springer International Publishing. https://doi.org/10.1007/978-3-031-42127-3_19

Benzmüller, C., Bayer, J., Gonus, A., & Scott, D. S. (2023). Category Theory in Isabelle/HOL as a Basis for Meta-logical Investigation (pp. 1–16). arXiv. https://doi.org/10.48550/ARXIV.2306.09074

Benzmüller, C., & Fuenmayor, D. (2023). Mathematical Proof Assistants for Teaching Logic: the LogiKEy Methodology. Book of Abstracts: International Congress Tools for Teaching Logic V, 1–3. https://doi.org/10.20378/irb-59552

Benzmüller, C., & Reiche, S. (2023). Automating public announcement logic with relativized common knowledge as a fragment of HOL in LogiKEy. Journal of Logic and Computation, 33(6), 1243–1269. https://doi.org/10.1093/logcom/exac029

Benzmüller, C., Solopova, V., Landgraf, T., & Popescu, O.-I. (2023). Automated Multilingual Detection of Pro-Kremlin Propaganda in Newspapers and Telegram Posts. Datenbank-Spektrum, 25(1). https://doi.org/10.1007/s13222-023-00437-2

Parent, X., & Benzmüller, C. (2023a). Automated Verification of Deontic Correspondences in Isabelle/HOL: First Results. CEUR Workshop Proceedings, 3326, Proceedings of the 4th International Workshop on Automated Reasoning in Quantified Non-Classical Logics (ARQNL 2022) affiliated with the 11th International Joint Conference on Automated Reasoning (IJCAR 2022), 92–108.

Parent, X., & Benzmüller, C. (2023b). Normative Conditional Reasoning as a Fragment of HOL (pp. 1–22). arXiv. https://doi.org/10.48550/arxiv.2308.10686

Rothgang, C., Rabe, F., & Benzmüller, C. (2023a). Theorem Proving in Dependently-Typed Higher-Order Logic: Extended Preprint (Issue arXiv:2305.15382). arXiv. https://doi.org/10.48550/ARXIV.2305.15382

Rothgang, C., Rabe, F., & Benzmüller, C. (2023b). Theorem Proving in?Dependently-Typed Higher-Order Logic. Automated Deduction – CADE 29: 29th International Conference on Automated Deduction, Rome, Italy, July 1–4, 2023, Proceedings, 438–455. https://doi.org/10.1007/978-3-031-38499-8_25

Solopova, V., Benzmüller, C., & Landgraf, T. (2023). The Evolution of Pro-Kremlin Propaganda From a Machine Learning and Linguistics Perspective. Proceedings of the Second Ukrainian Natural Language Processing Workshop (UNLP 2023), 40–48. https://doi.org/10.18653/v1/2023.unlp-1.5

Solopova, V., Gruszczynski, A., Rostom, E., Cremer, F., Witte, S., Zhang, C., López, F. R., Pl??l, L., Hofmann, F., Romeike, R., Gl?ser-Zikuda, M., Benzmüller, C., & Landgraf, T. (2023). PapagAI: Automated Feedback for Reflective Essays (pp. 1–12). arXiv. https://doi.org/10.48550/arxiv.2307.07523

Solopova, V., Popescu, O.-I., Benzmüller, C., & Landgraf, T. (2023). Automated multilingual detection of Pro-Kremlin propaganda in newspapers and Telegram posts. arXiv. https://doi.org/10.48550/ARXIV.2301.10604

Solopova, V., Rostom, E., Cremer, F., Gruszczynski, A., Witte, S., Zhang, C., López, F. R., Pl??l. Lea, Romeike, R., Gl?ser-Zikuda, M., Hofmann, F., Landgraf, T., & Benzmüller, C. (2023). PapagAI: Automated Feedback for?Reflective Essays. KI 2023: Advances in Artificial Intelligence: 46th German Conference on AI, Berlin, Germany, September 26–29, 2023; Proceedings, 198–206. https://doi.org/10.1007/978-3-031-42608-7_16

Steen, A., Sutcliffe, G., Scholl, T., & Benzmüller, C. (2023). Solving Modal Logic Problems by?Translation to?Higher-Order Logic. In A. Herzig, J. Luo, & P. Pardo (Eds.), Logic and Argumentation: 5th International Conference, CLAR 2023, Hangzhou, China, September 10-12, 2023; Proceedings (Vol. 14156, pp. 25–43). Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-40875-5_3

Bayer, J., Benzmüller, C., Buzzard, K., David, M., Lamport, L., Matiyasevich, Y., Paulson, L., Schleicher, D., Stock, B., & Zelmanov, E. (2022). Mathematical Proof Between Generations (pp. 1–17). arXiv. https://doi.org/10.48550/ARXIV.2207.04779

Benzmüller, C. (2022c). Studies in Computational Metaphysics: Results of an Interdisciplinary Research Project. In H. Cukierman & F. Bertato (Eds.), Tópicos em História e Filosofia da Computa??o (pp. 129–160). University of Campinas (UNICAMP).

Benzmüller, C. (2022b). A Simplified Variant of G?del’s Ontological Argument. Zygon, 57(4), 953–962. https://doi.org/10.1111/zygo.12830

Benzmüller, C. (2022a). Symbolic AI and G?del’s Ontological Argument. Zygon, 57(4). https://doi.org/10.1111/zygo.12830

Benzmüller, C., Farjami, A., & Parent, X. (2022). Dyadic Deontic Logic in HOL: Faithful Embedding and Meta-Theoretical Experiments. In S. Rahman, M. Armgardt, & H. C. Nordtveit Kvernenes (Eds.), New developments in legal reasoning and logic: from ancient law to modern legal systems (pp. 353–377). Springer. https://doi.org/10.1007/978-3-030-70084-3_14

Benzmüller, C., Fuenmayor, D., Steen, A., & Sutcliffe, G. (2022b). Automation of Boolos’ Curious Inference in Isabelle/HOL. Archive of Formal Proofs.

Benzmüller, C., Fuenmayor, D., Steen, A., & Sutcliffe, G. (2022a). Who Finds the Short Proof?: an Exploration of Variants of Boolos’ Curious Inference using Higher-order Automated Theorem Provers. arXiv. https://doi.org/10.48550/ARXIV.2208.06879

Fuenmayor, D., & Benzmüller, C. (2022). Higher-order Logic as a Lingua Franca for Logico-Pluralist Argumentation. Logics for New-Generation AI: Second International Workshop. 10-12 June 2022, Zhuhai, 83–94.

Mucha, H., Correia de Barros, A., Benjamin, J. J., Benzmüller, C., Bischof, A., Buchmüller, S., de Carvalho, A., Dhungel, A.-K., Draude, C., Fleck, M.-J., Jarke, J., Klein, S., Kortekaas, C., Kurze, A., Linke, D., Maas, F., Marsden, N., Melo, R., Michel, S., … Berger, A. (2022). Collaborative Speculations on Future Themes for Participatory Design in Germany. I-Com, 21(2), 283–298. https://doi.org/10.1515/icom-2021-0030

Steen, A., Fuenmayor, D., Glei?ner, T., Sutcliffe, G., & Benzmüller, C. (2022b). Automated Reasoning in Non-classical Logics in the TPTP World. Proceedings of the Workshop on Practical Aspects of Automated Reasoning Co-Located with the 11th International Joint Conference on Automated? Reasoning (FLoC/IJCAR 2022), Haifa, Israel, August, 11 - 12, 2022.

Steen, A., Fuenmayor, D., Glei?ner, T., Sutcliffe, G., & Benzmüller, C. (2022a). Automated Reasoning in Non-classical Logics in the TPTP World. arXiv. https://doi.org/10.48550/ARXIV.2202.09836

Steen, A., Sutcliffe, G., Glei?ner, T., & Benzmüller, C. (2022). Solving QMLTP Problems by Translation to Higher-order Logic. arXiv. https://doi.org/10.48550/ARXIV.2212.09570

Logic and Argumentation: 4th International Conference, CLAR 2021, Hangzhou, China, October 20–22, 2021, Proceedings. (2021). https://doi.org/10.1007/978-3-030-89391-0

Passon, O., & Benzmüller, C. (Eds.). (2021). Wider den Reduktionismus: Ausgew?hlte Beitr?ge zum Kurt G?del Preis 2019. Springer Spektrum. https://doi.org/10.1007/978-3-662-63187-4

Ammon, S., Beck, B., Benzmüller, C., Burchardt, A., Heidingsfelder, L. M., Kaiser, S., Lomfeld, B., Mühlhoff, R., Remmers, P., & Schraudner, M. (2021). KI als Laboratorium?: Ethik als Aufgabe!.

Benzmüller, C. (2021). Exploring Simplified Variants of G?del’s Ontological Argument in Isabelle/HOL. Archive of Formal Proofs.

Benzmüller, C., & Fuenmayor, D. (2021a). Value-Oriented Legal Argumentation in Isabelle/HOL. 12th International Conference on Interactive Theorem Proving (ITP 2021), 193, 1–20. https://doi.org/10.4230/LIPICS.ITP.2021.7

Benzmüller, C., & Fuenmayor, D. (2021b). Cantor’s Theorem without Reductio Ad Absurdum (pp. 1–3). Research Gate. https://doi.org/10.13140/rg.2.2.31069.95201/1

Benzmüller, C., & Reiche, S. (2021a). Automating Public Announcement Logic and the Wise Men Puzzle in Isabelle/HOL. Archive of Formal Proofs.

Benzmüller, C., & Reiche, S. (2021b). Automating Public Announcement Logic with Relativized Common Knowledge as a Fragment of HOL in LogiKEy (pp. 1–28). arXiv. https://doi.org/10.48550/ARXIV.2111.01654

Solopova, V., Popescu, O.-I., Chikobava, M., Romeike, F., Landgraf, T., & Benzmüller, C. (2021). A German Corpus of Reflective Sentences. Proceedings of the 18th International Conference on Natural Language Processing (ICON), 593–600.

Steen, A., & Benzmüller, C. (2021). Extensional Higher-Order Paramodulation in Leo-III. Journal of Automated Reasoning, 65, 775–807. https://doi.org/10.1007/s10817-021-09588-x

Benzmüller, C., & Miller, B. (Eds.). (2020). Intelligent Computer Mathematics: 13th International Conference, CICM 2020, Bertinoro, Italy, July 26-31, 2020, Proceedings. Springer International Publishing. https://doi.org/10.1007/978-3-030-53518-6

Benzmüller, C. (2020b). A (Simplified) Supreme Being Necessarily Exists, says the Computer: Computationally Explored Variants of G?del’s Ontological Argument. Proceedings of the Seventeenth International Conference on Principles of Knowledge Representation and Reasoning, 779–789. https://doi.org/10.24963/kr.2020/80

Benzmüller, C. (2020a). A (Simplified) Supreme Being Necessarily Exists, says the Computer: Computationally Explored Variants of G?del’s Ontological Argument (pp. 1–11). arXiv. https://doi.org/10.48550/ARXIV.2001.04701

Benzmüller, C., Farjami, A., Fuenmayor, D., Meder, P., Parent, X., Steen, A., van der Torre, L., & Zahoransky, V. (2020). LogiKEy workbench: Deontic logics, logic combinations and expressive ethical and legal reasoning (Isabelle/HOL dataset). Data in Brief, 33. https://doi.org/10.1016/j.dib.2020.106409

Benzmüller, C., & Fuenmayor, D. (2020). Computer-supported Analysis of Positive Properties, Ultrafilters and Modal Collapse in Variants of G?del’s Ontological Argument. Bulletin of the Section of Logic, 49(2), 127–148. https://doi.org/10.18778/0138-0680.2020.08

Benzmüller, C., Fuenmayor, D., & Lomfeld, B. (2020). Modelling Value-oriented Legal Reasoning in LogiKEy (pp. 1–57). arXiv. https://doi.org/10.48550/ARXIV.2006.12789

Benzmüller, C., & Lomfeld, B. (2020b). Reasonable Machines: a Research Manifesto. KI 2020, 12325, 251–258. https://doi.org/10.1007/978-3-030-58285-2_20

Benzmüller, C., & Lomfeld, B. (2020a). Reasonable Machines: a Research Manifesto (pp. 1–8). arXiv. https://doi.org/10.48550/ARXIV.2008.06250

Benzmüller, C., Parent, X., & Ricca, F. (2020). Introduction to the Special Issue on Logic Rules and Reasoning: Selected Papers from the 2nd International Joint Conference on Rules and Reasoning (RuleML+RR 2018). Theory and Practice of Logic Programming, 21(1), 1–3. https://doi.org/10.1017/S1471068420000113

Benzmüller, C., Parent, X., & van der Torre, L. (2020). Designing normative theories for ethical and legal reasoning: LogiKEy framework, methodology, and tool support. Artificial Intelligence, 287. https://doi.org/10.1016/j.artint.2020.103348

Benzmüller, C., & Scott, D. S. (2020). Automating Free Logic in HOL, with an Experimental Application in Category Theory. Journal of Automated Reasoning, 64, 53–72. https://doi.org/10.1007/s10817-018-09507-7

Fuenmayor, D., & Benzmüller, C. (2020c). Computer-Supported Analysis of Arguments in Climate Engineering. Logic and Argumentation, 104–115. https://doi.org/10.1007/978-3-030-44638-3_7

Fuenmayor, D., & Benzmüller, C. (2020b). Normative Reasoning with Expressive Logic Combinations. ECAI 2020: 24th European Conference on Artificial Intelligence, 29 August–8 September 2020, Santiago de Compostela, Spain – Including 10th Conference on Prestigious Applications of Artificial Intelligence (PAIS 2020), 2903–2904. https://doi.org/10.3233/FAIA200445

Fuenmayor, D., & Benzmüller, C. (2020e). Higher-order Logic as Lingua Franca -- Integrating Argumentative Discourse and Deep Logical Analysis. arXiv. https://doi.org/10.48550/arxiv.2007.01019

Fuenmayor, D., & Benzmüller, C. (2020a). A Case Study on Computational Hermeneutics: E. J. Lowe’s Modal Ontological Argument. In R. S. Silvestre, B. P. G?cke, J.-Y. Béziau, & P. Bilimoria (Eds.), Beyond Faith and Rationality: Sophia Studies in Cross-cultural Philosophy of Traditions and Cultures (Vol. 34, pp. 195–228). Springer. https://doi.org/10.1007/978-3-030-43535-6_12

Fuenmayor, D., & Benzmüller, C. (2020d). Higher-order Logic as Lingua Franca: Integrating Argumentative Discourse and Deep Logical Analysis (pp. 1–35). arXiv. https://doi.org/10.48550/ARXIV.2007.01019

Makarenko, I., & Benzmüller, C. (2020). Positive Free Higher-Order Logic and Its Automation via a Semantical Embedding. Lecture Notes in Computer Science, 12325, 116–131. https://doi.org/10.1007/978-3-030-58285-2_9

Reiche, S., & Benzmüller, C. (2020b). Public Announcement Logic in HOL. Dynamic Logic: New Trends and Applications, 12569(12569), 222–238. https://doi.org/10.1007/978-3-030-65840-3_14

Reiche, S., & Benzmüller, C. (2020a). Public Announcement Logic in HOL (pp. 1–17). arXiv. https://doi.org/10.48550/ARXIV.2010.00810

Steen, A., & Benzmüller, C. (2020a). On Reductions of Hintikka Sets for Higher-Order Logic (pp. 1–10). arXiv. https://doi.org/10.48550/ARXIV.2004.07506

Steen, A., & Benzmüller, C. (2020b). The Higher-Order Prover Leo-III. Frontiers in Artificial Intelligence and Applications, 2020(325), 2937–2938. https://doi.org/10.3233/FAIA200462

Tiemens, L., Scott, D. S., Benzmüller, C., & Benda, M. (2020). Computer-Supported Exploration of a Categorical Axiomatization of Modeloids. Relational and Algebraic Methods in Computer Science, 302–317. https://doi.org/10.1007/978-3-030-43520-2_19

Benzmüller, C., & Stuckenschmidt, H. (Eds.). (2019). KI 2019: Advances in Artificial Intelligence; 42nd German Conference on AI, Kassel, Germany, September 23-26, 2019, Proceedings. Springer. https://doi.org/10.1007/978-3-030-30179-8

Selected Student Contributions and Workshop Papers of LuxLogAI 2018. (2019). 10.

Benzmüller, C. (2019c). Universal (meta-)logical reasoning: Recent successes. Science of Computer Programming, 172(1), 48–62. https://doi.org/10.1016/j.scico.2018.10.008

Benzmüller, C. (2019b). What is a proof? What should it be?. In arXiv. arXiv.org. https://doi.org/10.48550/arXiv.1904.06332

Benzmüller, C. (2019a). Universal (meta-)logical reasoning: The Wise Men Puzzle (Isabelle/HOL dataset). Data in Brief, 24(June, 103823). https://doi.org/10.1016/j.dib.2019.103823

Benzmüller, C., & Andrews, P. (2019). Church’s Type Theory. The Stanford Encyclopedia of Philosophy.

Benzmüller, C., Farjami, A., Meder, P., & Parent, X. (2019). I/O Logic in HOL. Journal of Applied Logics -- IfCoLoG Journal of Logics and Their Applications, 6(5), 715–733.

Benzmüller, C., Farjami, A., & Parent, X. (2019). Aqvist’s Dyadic Deontic Logic E in HOL. Journal of Applied Logics -- IfCoLoG Journal of Logics and Their Applications, 6(5), 733–755.

Benzmüller, C., & Fuenmayor, D. (2019). Computer-supported Analysis of Positive Properties, Ultrafilters and Modal Collapse in Variants of G?del’s Ontological Argument. arXiv. https://doi.org/10.48550/ARXIV.1910.08955

Benzmüller, C., Parent, X., & Ricca, F. (2019). Report on the Second International Joint Conference on Rules and Reasoning. AI Magazine, 40(2), 73–74. https://doi.org/10.1609/aimag.v40i2.2888

Benzmüller, C., Parent, X., & van der Torre, L. (2019). Designing Normative Theories for Ethical and Legal Reasoning: LogiKEy Framework, Methodology, and Tool Support (pp. 1–50). arXiv. https://doi.org/10.48550/ARXIV.1903.10187

Benzmüller, C., & Sutcliffe, G. (2019). Explicit Normative Reasoning and Machine Ethics. Arcade 2019 Automated Reasoning: Challenges, Applications, Directions, Exemplary Achievements, 5.

Fuenmayor Pelaez, D., & Benzmüller, C. (2019). Mechanised Assessment of Complex Natural-Language Arguments Using Expressive Logic Combinations. Frontiers of Combining Systems (FroCoS 2019), 112–128. https://doi.org/10.1007/978-3-030-29007-8_7

Fuenmayor, D., & Benzmüller, C. (2019c). A Computational-Hermeneutic Approach for Conceptual Explicitation. Model-Based Reasoning in Science and Technology (MBR 2018), 49, 441–469. https://doi.org/10.1007/978-3-030-32722-4_25

Fuenmayor, D., & Benzmüller, C. (2019b). Harnessing Higher-Order (Meta-) Logic to Represent and Reason with Complex Ethical Theories. PRICAI 2019: Trends in Artificial Intelligence, 11670, 418–432. https://doi.org/10.1007/978-3-030-29908-8_34

Fuenmayor, D., & Benzmüller, C. (2019a). Computational Hermeneutics: an Integrated Approach for the Logical Analysis of Natural-Language Arguments. Dynamics, Uncertainty and Reasoning: The Second Chinese Conference on Logic and Argumentation, 187–207. https://doi.org/10.1007/978-981-13-7791-4_9

Fuenmayor, D., & Benzmüller, C. (2019e). Harnessing Higher-Order (Meta-)Logic to Represent and Reason with Complex Ethical Theories (pp. 1–14). arXiv. https://doi.org/10.48550/ARXIV.1903.09818

Fuenmayor, D., & Benzmüller, C. (2019d). A Computational-Hermeneutic Approach for Conceptual Explicitation (pp. 1–29). arXiv. https://doi.org/10.48550/ARXIV.1906.06582

Kirchner, D., Benzmüller, C., & Zalta, E. N. (2019c). Computer Science and Metaphysics: a Cross-Fertilization. Open Philosophy, 2(1), 230–251. https://doi.org/10.1515/opphil-2019-0015

Kirchner, D., Benzmüller, C., & Zalta, E. N. (2019b). Computer Science and Metaphysics: a Cross-Fertilization (pp. 1–39). arXiv. https://doi.org/10.48550/ARXIV.1905.00787

Kirchner, D., Benzmüller, C., & Zalta, E. N. (2019a). Mechanizing prinzipia Logico-Metaphysica in functional type-theory. The Review of Symbolic Logic, 13(1), 206–218. https://doi.org/10.1017/S1755020319000297

Steen, A., & Benzmüller, C. (2019). Extensional Higher-Order Paramodulation in Leo-III (pp. 1–34). arXiv. https://doi.org/10.48550/ARXIV.1907.11501

Tiemens, L., Scott, D. S., Benzmüller, C., & Benda, M. (2019). Computer-supported Exploration of a Categorical Axiomatization of Modeloids (pp. 1–24). arXiv. https://doi.org/10.48550/ARXIV.1910.12863

Zahoransky, V. (2019). Modelling the US Constitution to establish constitutional dictatorship. MIREL 2019: MIning and REasoning with Legal Texts, 2632, 1–13.

Fuenmayor, D., & Benzmüller, C. (2017). Automating Emendations of the Ontological Argument in Intensional Higher-Order Modal Logic. KI 2017: Advances in Artificial Intelligence, 114–127. https://doi.org/10.1007/978-3-319-67190-1_9

Wisniewski, M., Steen, A., Kern, K., & Benzmüller, C. (2016). Effective Normalization Techniques for HOL. Automated Reasoning — 8th International Joint Conference, IJCAR 2016, Coimbra, Portugal, June 27 – July 2, 2016, Proceedings, 362–370. https://doi.org/10.1007/978-3-319-40229-1_25

Benzmüller, C. (1997). A calculus and a system architecture for extensional higher-order resolution (Research Report 97-198 June,1997, pp. 1–27). Figshare. https://doi.org/10.1184/r1/6476477.v1

Benzmüller, C. (1993). HDMS-A und OBSCURE in KORSO: die Funktionale Essenz von HDMS-A aus Sicht der algorithmischen Spezifikationsmethode; Teil 3: Spezifikation der atomaren Funktionen. Universit?t des Saarlandes. https://doi.org/10.22028/d291-25819