CEUR Workshop Proceedings (CEUR-WS.org)
This volume contains the proceedings of the Fourth International Workshop on Automated Reasoning in Quantified Non-Classical Logics (ARQNL 2022), held August 11th, 2022, in Haifa, Israel. The workshop was affiliated and co-located with the International Joint Conference on Automated Reasoning (IJCAR 2022), which was part of the Federated Logic Conference (FLoC 2022). The aim of the ARQNL 2022 Workshop has been to foster the development of proof calculi, automated theorem proving (ATP) systems and model finders for all sorts of quantified non-classical logics. The ARQNL workshop series provides a forum for researchers to present and discuss recent developments in this area.
Non-classical logics — such as modal logics, conditional logics, intuitionistic logic, description logics, temporal logics, linear logic, multivalued logic, dynamic logic, deontic logic, fuzzy logic, paraconsistent logic, relevance logic, free logic, natural logic — have many applications in Artificial Intelligence, Computer Science, Philosophy, Linguistics, and Mathematics. Hence, the automation of proof search in these logics is a crucial task. For many propositional non-classical logics there exist proof calculi and ATP systems. Often proof search in these logics is significantly more difficult than in classical logic. For first-order and higher-order non-classical logics the mechanization and automation of proof search is even more challenging. Furthermore, extending existing non-classical propositional calculi, proof techniques and implementations to quantified logics is often not straightforward. As a result, for most quantiifed non-classical logics there exist no or only few (efficient) ATP systems. It is in particular the aim of the ARQNL workshop series to initiate and foster practical implementations and evaluations of such ATP systems for non-classical logics.
The ARQNL 2022 Workshop received seven paper submissions. Each paper was reviewed by at least three referees, and following an online discussion, six research papers were selected to be included in the proceedings. The ARQNL 2022 Workshop included invited talks by Tomer Libal (“Do Lawyers Use Automated Reasoning?”) and Renate Schmidt (“Advances and Challenges in the Development and Application of Forgetting Tools”). Additionally, one research paper was selected for presentation at the workshop.
We would like to sincerely thank the invited speakers, all authors for their contributions and all active participants of the ARQNL 2022 workshop. We would also like to thank the members of the Program Committee of ARQNL 2022 for their professional work in the review process. Furthermore, we would like to thank the IJCAR Workshop co-chairs Shaull Almagor and Guillermo Pe´rez and the local organizers of FLoC 2022. Finally, we would like to acknowledge the support of the EasyChair conference management system.
Christoph Benzmu¨ller Christian Fermu¨ller Didier Galmiche Marianna Girlando Andreas Herzig Annika Kanckos Stephan Merz Larry Moss Hans De Nivelle Jens Otten Fabio Papacchini Xavier Parent Revantha Ramanayake Alexander Steen Luca Vigano`
Universidad Nacional de Co´rdoba, Argentina University of Bamberg, Germany – co-chair Vienna University of Technology, Austria Universite´ de Lorraine - LORIA, France University of Birmingham, UK University of Toulouse - IRIT-CNRS, France University of Helsinki, Finland INRIA Nancy, France Indiana University Bloomington, USA Nazarbayev University, Kazakhstan University of Oslo, Norway – co-chair Lancaster University Leipzig, Germany Vienna University of Technology, Austria University of Groningen, Netherlands University of Greifswald, Germany King’s College London, UK
Tomer Libal Advances and Challenges in the Development and Application of Forgetting Tools (Abstract) Renate A. Schmidt Towards a Coq Formalization of a Quantified Modal Logic Ana de Almeida Borges Reasoning in Non-normal Modal Description Logics Tiziano Dalmonte, Andrea Mazzullo and Ana Ozaki Intuitionistic Derivability in Anderson’s Variant of the Ontological Argument Annika Kanckos (Re)moving Quantifiers to Simplify Parameterised Boolean Equation Systems Thomas Neele Advancing Automated Theorem Proving for the Modal Logics D and S5 Jens Otten 1–10 11–12 13–27 28–45 46–63 64–80 81–91 Automated Verification of Deontic Correspondences in Isabelle/HOL - First Results Xavier Parent and Christoph Benzmu¨ller