Rule-Based Reasoning
From International Center for Computational Logic
Rule-Based Reasoning
Rule-based reasoning is the general concept of automatically deriving new knowledge by recursively applying rules on data. These rules can be expressed in different formats and can have different properties: Datalog rules do not support functions nor existentially quantified variables, with Existential Rules existentially quantified variables can be derived, and other formalisms like for example Notation3 Logic allow the introduction of more complex constructs.
Rule-based reasoning can be performed with different strategies. Knowledge can be derived by successively applying all rules on data and derived knowledge (forward-reasoning) or going backwards starting from a goal (backward reasoning). Negation can be handled in different ways: everything what cannott be proven can be considered as wrong (Negation as Failure), but there are also frameworks which handle negation in a more First-Order-Logic kind of way taking different possibilities into account (Answer Set Programming).
These and other aspects like for example the kind of practical problems which can be solved by the different existing approaches and the complexity different features add to the reasoning are the field of our research.Scientific Staff
Journal Articles
Philipp Hanisch, Markus Krötzsch
Chase Termination Beyond Polynomial Time
Proc. ACM Manag. Data, 2(2):93, May 2024
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Proceedings Articles
Alex Ivliev, Lukas Gerlach, Simon Meusel, Jakob Steinberg, Markus Krötzsch
Nemo: Your Friendly and Versatile Rule Reasoning Toolkit
In Pierre Marquis,Magdalena Ortiz,Maurice Pagnucco, eds., Proceedings of the 21st International Conference on Principles of Knowledge Representation and Reasoning (KR 2024), Proceedings of the International Conference on Principles of Knowledge Representation and Reasoning, 743-754, November 2024. IJCAI Organization
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Lukas Gerlach, David Carral
Do Repeat Yourself: Understanding Sufficient Conditions for Restricted Chase Non-Termination (Technical Report)
In Pierre Marquis,Tran Cao Son,Gabriele Kern-Isberner, eds., Proceedings of the 20th International Conference on Principles of Knowledge Representation and Reasoning (KR 2023), volume 20 of Proceedings of the International Conference on Principles of Knowledge Representation and Reasoning, 301–310, September 2023. International Joint Conferences on Artificial Intelligence Organization
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Lukas Gerlach, David Carral
General Acyclicity and Cyclicity Notions for the Disjunctive Skolem Chase (Extended Abstract)
In Oliver Kutz, Carsten Lutz, Ana Ozaki, eds., Proceedings of the 36th International Workshop on Description Logics (DL 2023) co-located with the 20th International Conference on Principles of Knowledge Representation and Reasoning and the 21st International Workshop on Non-Monotonic Reasoning (KR 2023 and NMR 2023), volume 3515 of CEUR Workshop Proceedings, October 2023. CEUR-WS.org
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Lukas Gerlach, David Carral
General Acyclicity and Cyclicity Notions for the Disjunctive Skolem Chase (Extended Technical Report)
In Brian Williams, Yiling Chen, Jennifer Neville, eds., Proceedings of the 37th AAAI Conference on Artificial Intelligence, volume 37 of Proceedings of the AAAI Conference on Artificial Intelligence, 6372-6379, June 2023. AAAI Press
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Alex Ivliev, Stefan Ellmauthaler, Lukas Gerlach, Maximilian Marx, Matthias Meißner, Simon Meusel, Markus Krötzsch
Nemo: First Glimpse of a New Rule Engine
In Enrico Pontelli, Stefania Costantini, Carmine Dodaro, Sarah Gaggl, Roberta Calegari, Artur D'Avila Garcez, Francesco Fabiano, Alessandra Mileo, Alessandra Russo, Francesca Toni, eds., Proceedings 39th International Conference on Logic Programming (ICLP 2023), volume 385 of EPTCS, 333--335, September 2023
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Martin Bromberger, Irina Dragoste, Rasha Faqeh, Christof Fetzer, Larry González, Markus Krötzsch, Maximilian Marx, Harish K Murali, Christoph Weidenbach
A Sorted Datalog Hammer for Supervisor Verification Conditions Modulo Simple Linear Arithmetic
In Dana Fisman, Grigore Rosu, eds., Proc. of the 28th Int. Conf. on Tools and Algorithms for the Construction and Analysis of Systems (TACAS 2022), volume 13243 of LNCS, 480-501, 2022. Springer
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Ali Elhalawati, Markus Krötzsch, Stephan Mennicke
An Existential Rule Framework for Computing Why-Provenance On-Demand for Datalog
In Guido Governatori, Anni-Yasmin Turhan, eds., Proceedings of the 6th International Joint Conference on Rules and Reasoning (RuleML+RR 2022), volume 13752 of LNCS, 146--163, 2022. Springer
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Stefan Ellmauthaler, Markus Krötzsch, Stephan Mennicke
Answering Queries with Negation over Existential Rules
Proceedings of the 36th AAAI Conference on Artificial Intelligence (AAAI 2022), 5626-5633, 2022. AAAI Press
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Larry González, Alex Ivliev, Markus Krötzsch, Stephan Mennicke
Efficient Dependency Analysis for Rule-Based Ontologies
In Ulrike Sattler, Aidan Hogan, Maria Keet, Valentina Presutti, João Paulo A. Almeida, Hideaki Takeda, Pierre Monnin, Giuseppe Pirrò, Claudia d’Amato, eds., Proc. 21st International Semantic Web Conference (ISWC 2022), volume 13489 of LNCS, 267-283, October 2022. Springer
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Maximilian Marx, Markus Krötzsch
Tuple-Generating Dependencies Capture Complex Values (extended abstract)
In Mario Alviano, Andreas Pieris, eds., Proceedings of the 4th International Workshop on the Resurgence of Datalog in Academia and Industry, volume 3203 of CEUR Workshop Proceedings, 97--103, September 2022. CEUR-WS.org
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Maximilian Marx, Markus Krötzsch
Tuple-Generating Dependencies Capture Complex Values
In Dan Olteanu, Nils Vortmeier, eds., Proceedings of the 25th International Conference on Database Theory (ICDT 2022), volume 220 of LIPIcs, 13:1--13:20, March 2022. Schloss Dagstuhl - Leibniz-Zentrum für Informatik
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Jacopo Urbani, Markus Krötzsch, Thomas Eiter
Chasing Streams with Existential Rules
In Gabriele Kern-Isberner, Gerhard Lakemeyer, Thomas Meyer, eds., Proceedings of the 19th International Conference on Principles of Knowledge Representation and Reasoning (KR 2022), 2022
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Manuel Bodirsky, Simon Knäuer, Sebastian Rudolph
Datalog-Expressibility for Monadic and Guarded Second-Order Logic
In Nikhil Bansal, James Worrell, eds., Proceedings of the 48th International Colloquium on Automata, Languages, and Programming (ICALP), LIPIcs, 120:1-120:17, 2021. Schloss Dagstuhl - Leibniz-Zentrum für Informatik
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David Carral, Irina Dragoste, Markus Krötzsch
The Combined Approach to Query Answering in Horn-ALCHOIQ (Extended Abstract)
In Mantas Simkus, Grant E. Weddell, eds., Proceedings of the 32nd International Workshop on Description Logics, volume 2373 of CEUR Workshop Proceedings, 2019. CEUR-WS.org
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Talks and Miscellaneous
Markus Krötzsch
Data, Ontologies, Rules, and the Return of the Blank Node
Keynote at the 21st International Semantic Web Conference, 2022
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