Knowledge representation and reasoning
From International Center for Computational Logic
Knowledge representation and reasoning
The Ars Magna (ca. 1305) of the Majorcan philosopher Ramon Llull is one of the earliest examples of structured knowledge representation and automated reasoning
Knowledge representation and reasoning (KRR) is concerned with the encoding of human knowledge in computer systems such that it can serve as a basis for drawing logical conclusions. By means of logical reasoning, KRR systems derive implicit knowledge from the given information. KRR plays an important role in constructing more intelligent computer systems, but it is also used in applications where large knowledge bases need to be constructed, since reasoning can help to reduce redundancy and to detect errors.
Most modern KRR approaches are based on formal logics, with description logics and rule-based formalisms constituting the most prominent language families. In applied fields, knowledge bases are used to construct ontologies, which relates KRR to other research topics, such as semantic technologies. While KRR is based on a large body of theoretical research, it also includes many applied topics, such as the design and implementation of tools for automated reasoning.
Most modern KRR approaches are based on formal logics, with description logics and rule-based formalisms constituting the most prominent language families. In applied fields, knowledge bases are used to construct ontologies, which relates KRR to other research topics, such as semantic technologies. While KRR is based on a large body of theoretical research, it also includes many applied topics, such as the design and implementation of tools for automated reasoning.
Professors and Research Group Leaders
- APB 2021
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Scientific Staff
Former Members
Journal Articles
Philipp Hanisch, Markus Krötzsch
Chase Termination Beyond Polynomial Time
Proc. ACM Manag. Data, 2(2):93, May 2024
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Ringo Baumann, Hannes Straß
An Abstract, Logical Approach to Characterizing Strong Equivalence in Non-monotonic Knowledge Representation Formalisms
Artificial Intelligence, 305:103680, April 2022
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Markus Krötzsch
Wissen als Code: Die Welt der Wissensgraphen und Ontologien
Linux-Magazin (12/2022):24-28, 2022
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Bartosz Bednarczyk
One-Variable Logic Meets Presburger Arithmetic
Theoretical Computer Science, 802(141-146), January 2020
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Fariz Darari, Sebastian Rudolph, Simon Razniewski, Werner Nutt
Completeness and soundness guarantees for conjunctive SPARQL queries over RDF data sources with completeness statements
Semantic Web, 11(3):441-482, 2020
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Markus Krötzsch, Tomáš Masopust, Michaël Thomazo
Complexity of Universality and Related Problems for Partially Ordered NFAs
Information and Computation, 255(1):177-192, August 2017
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Markus Krötzsch, Sebastian Rudolph
Is Your Database System a Semantic Web Reasoner?
KI, 30(2):169-176, 2016
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Markus Krötzsch, Sebastian Rudolph, Peter H. Schmitt
A Closer Look at the Semantic Relationship between Datalog and Description Logics
Semantic Web Journal, 6(1):63-79, 2015
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Yevgeny Kazakov, Markus Krötzsch, František Simančík
The Incredible ELK: From Polynomial Procedures to Efficient Reasoning with ℰℒ Ontologies
J. Autom. Reasoning, 53(1):1-61, 2014
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Markus Krötzsch, František Simančík, Ian Horrocks
Description Logics
IEEE Intelligent Systems, 29(1):12-19, 2014
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Despoina Magka, Markus Krötzsch, Ian Horrocks
A rule-based ontological framework for the classification of molecules
J. Biomedical Semantics, 5:17, 2014
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Nadeschda Nikitina, Sebastian Rudolph
(Non-)Succinctness of uniform interpolants of general terminologies in the description logic ℰℒ
Artificial Intelligence, 215:120-140, October 2014
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Giorgo Stefanoni, Boris Motik, Markus Krötzsch, Sebastian Rudolph
The Complexity of Answering Conjunctive and Navigational Queries over OWL 2 EL Knowledge Bases
Journal of Artificial Intelligence Research, 51:645-705, December 2014
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Bernardo Cuenca Grau, Ian Horrocks, Markus Krötzsch, Clemens Kupke, Despoina Magka, Boris Motik, Zhe Wang
Acyclicity Notions for Existential Rules and Their Application to Query Answering in Ontologies
J. Artif. Intell. Res. (JAIR), 47:741-808, 2013
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Darko Anicic, Sebastian Rudolph, Paul Fodor, Nenad Stojanovic
Real-Time Complex Event Recognition and Reasoning-a Logic Programming Approach
Applied Artificial Intelligence, 26(1-2):6-57, February 2012
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Nadeschda Nikitina, Sebastian Rudolph, Birte Glimm
Interactive ontology revision
Journal of Web Semantics, 12:118-130, April 2012
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Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler
Type-elimination-based Reasoning for the Description Logic SHIQbs using Decision Diagrams and Disjunctive Datalog
Logical Methods in Computer Science, 8(1), 2012
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Philipp Cimiano, Sebastian Rudolph, Helena Hartfiel
Computing Intensional Answers to Questions - An Inductive Logic Programming Approach
Data & Knowledge Engineering, 69(3):261-278, March 2010
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Sebastian Rudolph, Birte Glimm
Nominals, Inverses, Counting, and Conjunctive Queries or: Why Infinity is Your Friend!
Journal of Artificial Intelligence Research, 39:429-481, October 2010
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Proceedings Articles
Lukas Gerlach, David Carral, Markus Hecher
Finite Groundings for ASP with Functions: A Journey through Consistency (Technical Report)
In Kate Larson, eds., Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence, IJCAI-24, 3386-3394, August 2024. International Joint Conferences on Artificial Intelligence Organization
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Luisa Herrmann, Vincent Peth, Sebastian Rudolph
Decidable (Ac)counting with Parikh and Muller: Adding Presburger Arithmetic to Monadic Second-Order Logic over Tree-Interpretable Structures
In Aniello Murano, Alexandra Silva, eds., CSL '24: Proceedings of the 32nd EACSL Annual Conference on Computer Science Logic 2024, volume 288 of LIPIcs, 33:1-33:19, 2024. Schloss Dagstuhl - Leibniz-Zentrum für Informatik
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Alex Ivliev, Lukas Gerlach, Simon Meusel, Jakob Steinberg, Markus Krötzsch
Nemo: Your Friendly and Versatile Rule Reasoning Toolkit
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, to appear. IJCAI Organization
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Nicholas Leisegang, Thomas Meyer, Sebastian Rudolph
Towards Propositional KLM-Style Defeasible Standpoint Logics
Proceedings of the 5th Southern African Conference on AI Research (SACAIR'24), to appear
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Tim Lyon, Jonas Karge
Constructive Interpolation and Concept-Based Beth Definability for Description Logics via Sequents
Proceedings of the 33rd International Joint Conference on Artificial Intelligence (IJCAI 2024), 2024. ijcai.org
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Jean-François Baget, Marie-Laure Mugnier, Sebastian Rudolph
Bounded Treewidth and the Infinite Core Chase – Complications and Workarounds toward Decidable Querying
In Floris Geerts, Hung Q. Ngo, Stavros Sintos, eds., Proceedings of the 42nd Symposium on Principles of Database Systems (PODS'23), 291-302, 2023. ACM
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Stefan Ellmauthaler, Lukas Gerlach
ADF-BDD.DEV: Insights to undecided Statements in Abstract Dialectical Frameworks
In Gianvincenzo Alfano, Stefano Ferilli, eds., Proceedings of the 7th Workshop on Advances in Argumentation in Artificial Intelligence (AI^3 2023) co-located with the 22nd International Conference of the Italian Association for Artificial Intelligence (AIxIA 2023), Rome, Italy, November 9, 2023, volume 3546 of CEUR Workshop Proceedings, December 2023. CEUR-WS.org
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Florian Emmrich, Lucía Gómez Álvarez, Hannes Straß
Automated Reasoning Support for Standpoint-OWL 2
In Sergio de Cesare, Tiago Prince Sales, eds., Proceedings of th 13th International Conference on Formal Ontology in Information Systems (FOIS 2023), Ontology Showcase and Demonstrations Track, 2023
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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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Denny Vrandečić, Lydia Pintscher, Markus Krötzsch
Wikidata: The Making Of
In Ying Ding, Jie Tang, Juan F. Sequeda, Lora Aroyo,Carlos Castillo, Geert-Jan Houben, eds., Companion Proceedings of the ACM Web Conference 2023 (WWW'23), 615--624, 2023. ACM
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Bartosz Bednarczyk, Emanuel Kieroński
Finite Entailment of Local Queries in the Z family of Description Logics
Proceedings of the 36th AAAI Conference on Artificial Intelligence (AAAI 2022), volume 36, 5487--5494, February 2022. AAAI Press
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Bartosz Bednarczyk, Sebastian Rudolph
The Price of Selfishness: Conjunctive Query Entailment for ALCSelf is 2EXPTIME-hard
Proceedings of the 36th AAAI Conference on Artificial Intelligence (AAAI 2022), 5495-5502, February 2022
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Raven Beutner, David Carral, Bernd Finkbeiner, Jana Hofmann, Markus Krötzsch
Deciding Hyperproperties Combined with Functional Specifications
In Christel Baier and Dana Fisman, eds., Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2022), 56:1--56:13, 2022. ACM
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Stefan Borgwardt, Jörg Hoffmann, Alisa Kovtunova, Markus Krötzsch, Bernhard Nebel, Marcel Steinmetz
Expressivity of Planning with Horn Description Logic Ontologies
Proceedings of the 36th AAAI Conference on Artificial Intelligence (AAAI 2022), 5503--5511, 2022. AAAI Press
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Stefan Borgwardt, Jörg Hoffmann, Alisa Kovtunova, Markus Krötzsch, Bernhard Nebel, Marcel Steinmetz
Expressivity of Planning with Horn Description Logic Ontologies (Extended Abstract)
In Ofer Arieli, Martin Homola,Jean Christoph Jung, Marie-Laure Mugnier, eds., Proceedings of the 35th International Workshop on Description Logics (DL 2022), volume 3263 of CEUR Workshop Proceedings, 2022. CEUR-WS.org
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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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Raimund Dachselt, Sarah Alice Gaggl, Markus Krötzsch, Julián Méndez, Dominik Rusovac, Mei Yang
NEXAS: A Visual Tool for Navigating and Exploring Argumentation Solution Spaces
In Francesca Toni, eds., Proceedings of the 9th International Conference on Computational Models of Argument (COMMA 2022), volume 220146 of FAIA, 116-127, September 2022. IOS Press
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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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Faiq Miftakhul Falakh, Sebastian Rudolph, Kai Sauerwald
Semantic Characterizations of AGM Revision for Tarskian Logics
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, 95-110, September 2022. Springer
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Sarah Alice Gaggl, Philipp Hanisch, Markus Krötzsch
Simulating Sets in Answer Set Programming
In Luc De Raedt, eds., Proceedings of the 31st International Joint Conference on Artificial Intelligence (IJCAI 2022), 2634--2640, 2022. ijcai.org
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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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Lucía Gómez Álvarez, Sebastian Rudolph, Hannes Straß
Modelling Multiple Perspectives by Standpoint-Enhanced Description Logics (Extended Abstract)
In Ofer Arieli, Martin Homola, Jean Christoph Jung, Marie-Laure Mugnier, eds., Proceedings of the 35th International Workshop on Description Logics (DL 2022), volume 3263, August 2022. CEUR Workshop Proceedings
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Jonas Karge, Sebastian Rudolph
The More the Worst-Case-Merrier: A Generalized Condorcet Jury Theorem for Belief Fusion
In Gabriele Kern-Isberner, Gerhard Lakemeyer, Thomas Meyer, eds., Proceedings of the 19th International Conference on Principles of Knowledge Representation and Reasoning, 205-–214, 2022
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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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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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Piotr Ostropolski-Nalewaja, Jerzy Marcinkowski, David Carral, Sebastian Rudolph
A Journey to the Frontiers of Query Rewritability
In Leonid Libkin, Pablo Barceló, eds., Proceedings of the 41st Symposium on Principles of Database Systems (PODS'22), 359-367, June 2022. ACM
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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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Bartosz Bednarczyk, Maja Orłowska, Anna Pacanowska, Tony Tan
On Classical Decidable Logics extended with Percentage Quantifiers and Arithmetics
In Mikołaj Bojańczyk, Chandra Chekuri, eds., Proceedings of the 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021), volume 213 of Leibniz International Proceedings in Informatics, 36:1--36:15, December 2021. Schloss Dagstuhl - Leibniz-Zentrum fur Informatik
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Bartosz Bednarczyk
Exploiting forwardness: Satisfiability and Query-Entailment in Forward Guarded Fragment
In Wolfgang Faber, Gerhard Friedrich, Martin Gebser, Michael Morak, eds., Proceedings of the 17th Edition of the European Conference on Logics in Artificial Intelligence (JELIA 2021), volume 12678 of Lecture Notes in Computer Science, 179--193, May 2021. Springer International Publishing
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Manuel Bodirsky, Thomas Feller, Simon Knäuer, Sebastian Rudolph
On Logics and Homomorphism Closure
Proceedings of the 36th Annual Symposium on Logic in Computer Science (LICS 2021), 1-13, 2021. IEEE
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Martin Bromberger, Irina Dragoste, Rasha Faqeh, Christof Fetzer, Markus Krötzsch, Christoph Weidenbach
A Datalog Hammer for Supervisor Verification Conditions Modulo Simple Linear Arithmetic
In Boris Konev, Giles Reger, eds., Proc. of the 13th Int. Symp. on Frontiers of Combining Systems (FROCOS 2021), volume 12941 of LNCS, 3-24, 2021. Springer
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Emanuel Kieroński, Sebastian Rudolph
Finite Model Theory of the Triguarded Fragment and Related Logics
In IEEE, eds., Proceedings of the 36th Annual Symposium on Logic in Computer Science (LICS 2021), 1-13, 2021
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Bartosz Bednarczyk, Piotr Witkowski
A note on C2 interpreted over finite data-words
In Emilio Muñoz-Velasco, Ana Ozaki, Martin Theobald, eds., Proceedings of the 27th International Symposium on Temporal Representation and Reasoning (TIME 2020), volume 178 of Leibniz International Proceedings in Informatics, 17:1--17:14, September 2020. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik
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David Carral, Markus Krötzsch
Rewriting the Description Logic ALCHIQ to Disjunctive Existential Rules
In Christian Bessiere, eds., Proceedings of the 29th International Joint Conference on Artificial Intelligence, IJCAI 2020, 1777-1783, 2020. ijcai.org
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Markus Krötzsch
Computing Cores for Existential Rules with the Standard Chase and ASP
In Diego Calvanese, Esra Erdem, Michael Thielscher, eds., Proceedings of the 17th International Conference on Principles of Knowledge Representation and Reasoning (KR 2020), 603-613, 2020. IJCAI
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David Carral, Irina Dragoste, Larry González, Ceriel Jacobs, Markus Krötzsch, Jacopo Urbani
VLog: A Rule Engine for Knowledge Graphs
In Chiara Ghidini, Olaf Hartig, Maria Maleshkova, Vojtěch Svátek, Isabel F. Cruz, Aidan Hogan, Jie Song, Maxime Lefrançois, Fabien Gandon, eds., Proceedings of the 18th International Semantic Web Conference (ISWC'19) Part II, volume 11779 of LNCS, 2019. Springer
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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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David Carral, Irina Dragoste, Markus Krötzsch, Christian Lewe
Chasing Sets: How to Use Existential Rules for Expressive Reasoning
Proceedings of the 28th International Joint Conference on Artificial Intelligence (IJCAI'19), August 2019. International Joint Conferences on Artificial Intelligence
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Markus Krötzsch
Too Much Information: Can AI Cope With Modern Knowledge Graphs?
In Diana Cristea, Florence Le Ber, Baris Sertkaya, eds., Proceedings of the 15th International Conference on Formal Concept Analysis (ICFCA 2019), volume 11511 of LNCS, 17--31, 2019. Springer
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Markus Krötzsch, Maximilian Marx, Sebastian Rudolph
The Power of the Terminating Chase
In Pablo Barceló, Marco Calautti, eds., Proceedings of the 22nd International Conference on Database Theory (ICDT 2019), volume 127 of LIPIcs, 3:1--3:17, 2019. 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
In Michael Thielscher, Francesca Toni, Frank Wolter, eds., Proceedings of the 16th International Conference on Principles of Knowledge Representation and Reasoning (KR 2018), 339-348, October 2018. AAAI Press
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Markus Krötzsch, Maximilian Marx, Ana Ozaki, Veronika Thost
Attributed Description Logics: Reasoning on Knowledge Graphs
In Jérôme Lang, eds., Proceedings of the 27th International Joint Conference on Artificial Intelligence (IJCAI'18), 5309--5313, July 2018. International Joint Conferences on Artificial Intelligence
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Ana Ozaki, Markus Krötzsch, Sebastian Rudolph
Happy Ever After: Temporally Attributed Description Logics
In Magdalena Ortiz, Thomas Schneider, eds., Proceedings of the 31st International Workshop on Description Logics (DL 2018), volume 2211 of CEUR Workshop Proceedings, 2018. CEUR-WS.org
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Sebastian Rudolph, Mantas Simkus
The Triguarded Fragment of First-Order Logic
In Gilles Barthe, Geoff Sutcliffe, Margus Veanes, eds., Proceedings of the 22nd International Conference on Logic for Programming, Artificial Intelligence and Reasoning, volume 57 of EPiC Series in Computing, 604-619, 2018. EasyChair
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Jacopo Urbani, Markus Krötzsch, Ceriel Jacobs, Irina Dragoste, David Carral
Efficient Model Construction for Horn Logic with VLog: Extended Abstract
In Magdalena Ortiz, Thomas Schneider, eds., Proceedings of the 31st International Workshop on Description Logics (DL 2018), volume 2211 of CEUR Workshop Proceedings, October 2018. CEUR-WS.org
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Jacopo Urbani, Markus Krötzsch, Ceriel Jacobs, Irina Dragoste, David Carral
Efficient Model Construction for Horn Logic with VLog
In Didier Galmiche, Stephan Schulz, Roberto Sebastiani, eds., Proceedings of the 8th International Joint Conference on Automated Reasoning (IJCAR 2018), volume 10900 of LNCS, 680--688, 2018. Springer
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Franz Baader, Stefan Borgwardt, Patrick Koopmann, Ana Ozaki, Veronika Thost
Metric Temporal Description Logics with Interval-Rigid Names
In Clare Dixon, Marcelo Finger, eds., Proceedings of the 11th International Symposium on Frontiers of Combining Systems (FroCoS'17), volume 10483 of Lecture Notes in Computer Science, 60--76, September 2017. Springer
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Bartosz Bednarczyk, Witold Charatonik
Modulo Counting on Words and Trees.
In Satya V. Lokam, R. Ramanujam, eds., FSTTCS 2017, 37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, volume 93 of Leibniz International Proceedings in Informatics, 12:1--12:16, December 2017. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik
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Bartosz Bednarczyk, Witold Charatonik, Emanuel Kieroński
Extending Two-Variable Logic on Trees
In Valentin Goranko, Mads Dam, eds., Proceedings of 26th EACSL Annual Conference on Computer Science Logic (CSL 2017), volume 82 of Leibniz International Proceedings in Informatics, 11:1--11:20, August 2017. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik
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David Carral, Irina Dragoste, Markus Krötzsch
Tractable Query Answering for Expressive Ontologies and Existential Rules
In Claudia d'Amato, Miriam Fernández, Valentina A. M. Tamma, Freddy Lécué, Philippe Cudré-Mauroux, Juan F. Sequeda, Christoph Lange, Jeff Heflin, eds., Proceedings of the 16th International Semantic Web Conference (ISWC'17), volume 10587 of LNCS, 2017. Springer
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David Carral, Irina Dragoste, Markus Krötzsch
Restricted chase (non)termination for existential rules with disjunctions
In Carles Sierra, eds., Proceedings of the 26th International Joint Conference on Artificial Intelligence (IJCAI'17), 922-928, 2017. International Joint Conferences on Artificial Intelligence
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Markus Krötzsch, Maximilian Marx, Ana Ozaki, Veronika Thost
Attributed Description Logics: Ontologies for Knowledge Graphs
In Claudia d'Amato, Miriam Fernández, Valentina A. M. Tamma, Freddy Lécué, Philippe Cudré-Mauroux, Juan F. Sequeda, Christoph Lange, Jeff Heflin, eds., Proceedings of the 16th International Semantic Web Conference (ISWC'17), volume 10587 of LNCS, 418--435, October 2017. Springer
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Markus Krötzsch
Ontologies for Knowledge Graphs?
In Alessandro Artale, Birte Glimm, Roman Kontchakov, eds., Proceedings of the 30th International Workshop on Description Logics (DL 2017), volume 1879 of CEUR Workshop Proceedings, July 2017. CEUR-WS.org
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Markus Krötzsch, Maximilian Marx, Ana Ozaki, Veronika Thost
Reasoning with Attributed Description Logics
In Alessandro Artale, Birte Glimm, Roman Kontchakov, eds., Proceedings of the 30th International Workshop on Description Logics (DL 2017), volume 1879 of CEUR Workshop Proceedings, July 2017. CEUR-WS.org
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Maximilian Marx, Markus Krötzsch, Veronika Thost
Logic on MARS: Ontologies for generalised property graphs
In Carles Sierra, eds., Proceedings of the 26th International Joint Conference on Artificial Intelligence (IJCAI'17), 1188-1194, August 2017. International Joint Conferences on Artificial Intelligence
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David Carral, Cristina Feier, Pascal Hitzler
A Practical Acyclicity Notion for Query Answering Over Horn-SRIQ Ontologies
In Paul Groth, Elena Simperl, Alasdair Gray, Marta Sabou, Markus Krötzsch, Freddy Lecue, Fabian Flock, Yolanda Gil, eds., The Semantic Web - ISWC 2016 - 15th International Semantic Web Conference, Kobe, Japan. Proceedings, Part I, volume 9981 of LNCS, 70-85, October 2016. Springer
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Stathis Delivorias, Sebastian Rudolph
Revisiting Grounded Circumscription in Description Logics
In Magdalena Ortiz, Stefan Schlobach, eds., Proceedings of the 10th International Conference on Web Reasoning and Rule Systems, volume 9898 of LNCS, 46-60, September 2016. Springer
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Markus Krötzsch, Veronika Thost
Ontologies for Knowledge Graphs: Breaking the Rules
In Yolanda Gil, Elena Simperl, Paul Groth, Freddy Lecue, Markus Krötzsch, Alasdair Gray, Marta Sabou, Fabian Flöck, Hideaki Takeda, eds., Proceedings of the 15th International Semantic Web Conference (ISWC 2016), volume 9981 of LNCS, 376-392, 2016. Springer
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Sebastian Rudolph, Michaël Thomazo
Expressivity of Datalog Variants - Completing the Picture
In Subbarao Kambhampati, eds., Proceedings of the 24th International Joint Conference on Artificial Intelligence (IJCAI'16), 1230-1236, July 2016. AAAI Press
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Jacopo Urbani, Ceriel Jacobs, Markus Krötzsch
Column-Oriented Datalog Materialization for Large Knowledge Graphs
In Dale Schuurmans, Michael P. Wellman, eds., Proceedings of the 30th AAAI Conference on Artificial Intelligence, 258-264, 2016. AAAI Press
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Jacopo Urbani, Ceriel Jacobs, Markus Krötzsch
VLog: A Column-Oriented Datalog System for Large Knowledge Graphs
In Takahiro Kawamura, Heiko Paulheim, eds., Proceedings of the 15th International Semantic Web Conf. (ISWC'16), Posters and Demos, volume 1690 of CEUR Workshop Proceedings, 2016. CEUR-WS.org
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Stefan Bischof, Markus Krötzsch, Axel Polleres, Sebastian Rudolph
Schema-Agnostic Query Rewriting for OWL QL
In Diego Calvanese, Boris Konev, eds., Proceedings of the 28th International Workshop on Description Logics, volume 1350 of CEUR Workshop Proceedings, 2015. CEUR-WS.org
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Pierre Bourhis, Markus Krötzsch, Sebastian Rudolph
Reasonable Highly Expressive Query Languages
In Qiang Yang, Michael Wooldridge, eds., Proc. 24th International Joint Conference on Artificial Intelligence (IJCAI'15), 2826-2832, 2015. AAAI Press
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Stephan Böhme, Marcel Lippmann
Decidable Contextualized DLs with Rigid Roles
Proceedings of the 28th International Workshop on Description Logics (DL-2015), CEUR Workshop Proceedings, to appear. CEUR-WS.org
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Stefan Bischof, Markus Krötzsch, Axel Polleres, Sebastian Rudolph
Schema-Agnostic Query Rewriting in SPARQL 1.1
In Peter Mika, Tania Tudorache, Abraham Bernstein, Chris Welty, Craig A. Knoblock, Denny Vrandečić, Paul T. Groth, Natasha F. Noy, Krzysztof Janowicz, Carole A. Goble, eds., Proc. 13th International Semantic Web Conference (ISWC'14), volume 8796 of LNCS, 584-600, October 2014. Springer
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Pierre Bourhis, Markus Krötzsch, Sebastian Rudolph
How to Best Nest Regular Path Queries
Proc. 27th International Workshop on Description Logics (DL'14), volume 1193 of CEUR Workshop Proceedings, 404-415, July 2014. CEUR-WS.org
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Markus Krötzsch
P ≠ P: Why Some Reasoning Problems Are More Tractable Than Others
Proc. 8th International Conference on Web Reasoning and Rule Systems (RR'14), volume 8741 of LNCS, 1-22, September 2014. Springer
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Markus Krötzsch, Sebastian Rudolph
Nominal Schemas in Description Logics: Complexities Clarified
In Chitta Baral, Giuseppe De Giacomo, Thomas Eiter, eds., Proc. 14th International Conference on Principles of Knowledge Representation and Reasoning (KR'14), 308-317, July 2014. AAAI Press
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Sebastian Rudolph
The Two Views on Ontological Query Answering
In Georg Gottlob, Jorge Pérez, eds., Proceedings of the 8th Alberto Mendelzon Workshop on Foundations of Data Management, volume 1189 of CEUR Workshop Proceedings, June 2014. CEUR
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Markus Krötzsch, Despoina Magka, Ian Horrocks
Concrete Results on Abstract Rules
Proc. 12th International Conference on Logic Programming and Nonmonotonic Reasoning (LPNMR'13), 414-426, September 2013. Springer
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Despoina Magka, Markus Krötzsch, Ian Horrocks
Nonmonotonic Existential Rules for Non-Tree-Shaped Ontological Modelling
Proc. 26th International Workshop on Description Logics (DL'13), 390-402, July 2013. CEUR Workshop Proceedings
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Despoina Magka, Markus Krötzsch, Ian Horrocks
Computing Stable Models for Nonmonotonic Existential Rules
Proc. 23rd International Joint Conference on Artificial Intelligence (IJCAI'13), 1031-1038, August 2013. AAAI Press
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Bernardo Cuenca Grau, Ian Horrocks, Markus Krötzsch, Clemens Kupke, Despoina Magka, Boris Motik, Zhe Wang
Acyclicity Conditions and their Application to Query Answering in Description Logics
Proc. 13th International Conference on Principles of Knowledge Representation and Reasoning (KR'12), 243–253, June 2012. AAAI Press
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Yevgeny Kazakov, Markus Krötzsch, František Simančík
Practical Reasoning with Nominals in the EL Family of Description Logics
Proc. 13th International Conference on Principles of Knowledge Representation and Reasoning (KR'12), 264–274, June 2012. AAAI Press
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Yevgeny Kazakov, Markus Krötzsch, František Simančík
ELK Reasoner: Architecture and Evaluation
Proc. of the OWL Reasoner Evaluation Workshop 2012, July 2012. CEUR Workshop Proceedings
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Markus Krötzsch
OWL 2 Profiles: An Introduction to Lightweight Ontology Languages
Reasoning Web Summer School 2012, 112-183, September 2012. Springer
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Markus Krötzsch
The Not-So-Easy Task of Computing Class Subsumptions in OWL RL
Proc. 11th International Semantic Web Conference (ISWC'11), 279-294, 2012. Springer
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Yevgeny Kazakov, Markus Krötzsch, František Simančík
Concurrent Classification of EL Ontologies
In Lora Aroyo, Chris Welty, Harith Alani, Jamie Taylor, Abraham Bernstein, Lalana Kagal, Natasha Noy, Eva Blomqvist, eds., Proc. 10th International Semantic Web Conference (ISWC'11), volume 7032 of LNCS, 305-320, October 2011. Springer
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Yevgeny Kazakov, Markus Krötzsch, František Simančík
Unchain My EL Reasoner
Proc. 24th International Workshop on Description Logics (DL'11), July 2011. CEUR Workshop Proceedings
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Markus Krötzsch, Sebastian Speiser
ShareAlike Your Data: Self-referential Usage Policies for the Semantic Web
Proc. 10th International Semantic Web Conference (ISWC'11), 354-369, October 2011. Springer
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Markus Krötzsch, Frederick Maier, Adila Krisnadhi, Pascal Hitzler
A Better Uncle for OWL: Nominal Schemas for Integrating Rules and Ontologies
Proc. 20th International Conference on World Wide Web (WWW'11), 645-654, March 2011. ACM
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Markus Krötzsch, Sebastian Rudolph
Extending Decidable Existential Rules by Joining Acyclicity and Guardedness
In Toby Walsh, eds., Proceedings of the 22nd International Joint Conference on Artificial Intelligence (IJCAI 2011), 963-968, July 2011. IJCAI/AAAI
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Markus Krötzsch
Efficient Rule-Based Inferencing for OWL EL
Proc. 22nd International Joint Conference on Artificial Intelligence (IJCAI'11), 2668-2673, July 2011. AAAI Press
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Markus Krötzsch, Frederick Maier, Adila Alfa Krisnadhi, Pascal Hitzler
Nominal Schemas for Integrating Rules and Description Logics
In Riccardo Rosati, Sebastian Rudolph, Michael Zakharyaschev, eds., Proc. 24th International Workshop on Description Logics (DL'11), volume 745 of CEUR Workshop Proceedings, July 2011. CEUR-WS.org
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František Simančík, Boris Motik, Markus Krötzsch
Fixed Parameter Tractable Reasoning in DLs via Decomposition
In Riccardo Rosati, Sebastian Rudolph, Michael Zakharyaschev, eds., Proc. 24th International Workshop on Description Logics (DL'11), volume 745 of CEUR Workshop Proceedings, 400-410, July 2011. CEUR-WS.org
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Birte Glimm, Markus Krötzsch
SPARQL Beyond Subgraph Matching
In Peter F. Patel-Schneider, Yue Pan, Birte Glimm, Pascal Hitzler, Peter Mika, Jeff Pan, Ian Horrocks, eds., Proceedings of the 9th International Semantic Web Conference (ISWC 2010), volume 6496 of LNCS, 241-256, 2010. Springer
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Markus Krötzsch, Anees ul Mehdi, Sebastian Rudolph
Orel: Database-Driven Reasoning for OWL 2 Profiles
Proceedings of the 23nd International Workshop on Description Logics (DL 2010), volume 573 of CEUR Workshop Proceedings, May 2010. CEUR-WS.org
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Markus Krötzsch
Efficient Inferencing for OWL EL
In Tomi Janhunen, Ilkka Niemelä, eds., Proceedings of the 12th European Conference on Logics in Artificial Intelligence (JELIA'10), volume 6341 of LNAI, 234-246, 2010. Springer
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Markus Krötzsch, Sebastian Rudolph, Peter H. Schmitt
On the Semantic Relationship between Datalog and Description Logics
In Pascal Hitzler, Thomas Lukasiewicz, eds., Proceedings of the 4th International Conference on Web Reasoning and Rule Systems (RR 2010), volume 6333 of LNCS, 88-102, September 2010. Springer
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Markus Krötzsch, Sebastian Rudolph, Pascal Hitzler
ELP: Tractable Rules for OWL 2
In Amit Sheth and Steffen Staab and Mike Dean and Massimo Paolucci and Diana Maynard and Timothy Finin and Krishnaprasad Thirunarayan, eds., Proceedings of the 7th International Semantic Web Conference (ISWC 2008), volume 5318 of LNCS, 649-664, October 2008. Springer
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Markus Krötzsch, Sebastian Rudolph, Pascal Hitzler
Description Logic Rules
In Malik Ghallab and Constantine D. Spyropoulos and Nikos Fakotakis and Nikos Avouris, eds., Proceedings of the 18th European Conference on Artificial Intelligence (ECAI-08), volume 178 of Frontiers in Artificial Intelligence and Applications (FAIA), 80--84, July 2008. IOS Press
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Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler
All Elephants are Bigger than All Mice
In Franz Baader, Carsten Lutz, Boris Motik, eds., Proceedings of the 21st International Workshop on Description Logics (DL2008), volume 353 of CEUR Workshop Proceedings, May 2008. CEUR-WS.org
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Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler
Terminological Reasoning in SHIQ with Ordered Binary Decision Diagrams
In Dieter Fox, Carla P. Gomes, eds., Proceedings of the 23rd AAAI Conference on Artficial Intelligence (AAAI-08), 529-534, 2008. AAAI Press
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Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler
Cheap Boolean Role Constructors for Description Logics
In Steffen Hölldobler, Carsten Lutz, Heinrich Wansing, eds., Proceedings of 11th European Conference on Logics in Artificial Intelligence (JELIA), volume 5293 of LNAI, 362-374, 2008. Springer
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Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler
Description Logic Reasoning with Decision Diagrams: Compiling SHIQ to Disjunctive Datalog
In Amit Sheth, Steffen Staab, Mike Dean, Massimo Paolucci, Diana Maynard, Timothy Finin, Krishnaprasad Thirunarayan, eds., Proceedings of the International Semantic Web Conference (ISWC 2008), volume 5318 of LNCS, 435-450, 2008. Springer
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Markus Krötzsch, Sebastian Rudolph, Pascal Hitzler
Complexity Boundaries for Horn Description Logics
Proceedings of the 22nd AAAI Conference on Artficial Intelligence, 452--457, 2007. AAAI Press
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Markus Krötzsch, Sebastian Rudolph, Pascal Hitzler
Conjunctive Queries for a Tractable Fragment of OWL 1.1
In Karl Aberer and Key-Sun Choi and Natasha Noy and Dean Allemang and Kyung-Il Lee and Lyndon Nixon and Jennifer Golbeck and Peter Mika and Diana Maynard and Riichiro Mizoguchi and Guus Schreiber and Philippe Cudré-Mauroux, eds., Proceedings of the 6th International Semantic Web Conference (ISWC 2007), volume 4825 of LNCS, 310--323, November 2007. Springer
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Markus Krötzsch, Sebastian Rudolph, Pascal Hitzler
On the complexity of Horn description logics
In Bernardo Cuenca Grau, Pascal Hitzler, Conor Shankey, Evan Wallace, eds., Proceedings of the 2nd Workshop on OWL: Experiences and Directions, volume 216 of CEUR Workshop Proceedings, November 2006. CEUR
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Markus Krötzsch, Pascal Hitzler, Denny Vrandečić, Michael Sintek
How to reason with OWL in a logic programming system
In Thomas Eiter, Enrico Franconi, Ralph Hodgson, Susie Stephens, eds., Proceedings of the Second International Conference on Rules and Rule Markup Languages for the Semantic Web, RuleML2006, 17--26, November 2006. IEEE Computer Society
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Denny Vrandečić, Markus Krötzsch
Reusing Ontological Background Knowledge in Semantic Wikis
In Max Völkel and Sebastian Schaffert and Stefan Decker, eds., Proceedings of the First Workshop on Semantic Wikis -- From Wikis to Semantics, June 2006
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Books
Steffen Hölldobler, Sebastian Bader, Bertram Fronhöfer, Ursula Hans, Pascal Hitzler, Markus Krötzsch, Tobias Pietzsch
Logik und Logikprogrammierung, Band 2: Aufgaben und Lösungen
Synchron Publishers Heidelberg, 2011
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Book Chapters
Sebastian Rudolph
Presburger Concept Cardinality Constraints in Very Expressive Description Logics – Allegro sexagenarioso ma non ritardando
In Carsten Lutz, Uli Sattler, Cesare Tinelli, Anni-Yasmin Turhan, Frank Wolter, eds., Description Logic, Theory Combination, and All That - Essays Dedicated to Franz Baader on the Occasion of His 60th Birthday, volume 11560 of LNCS, 542-561. Springer, 2019
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Edited Proceedings
Markus Krötzsch, Daria Stepanova
Explainable Artificial Intelligence. Proceedings of the 15th Reasoning Web Summer School
Volume 11810 of LNCS, 2019. Springer
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Daniele Dell'Aglio, Emanuele Della Valle, Thomas Eiter, Markus Krötzsch, Maria Maleshkova, Ruben Verborgh, Federico M. Facca, Michael Mrissa
Joint Proceedings of the 3rd Stream Reasoning (SR 2016) and the 1st Semantic Web Technologies for the Internet of Things (SWIT 2016) workshops
Volume 1783 of CEUR Workshop Proceedings, 2017. CEUR-WS.org
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Paul T. Groth, Elena Simperl, Alasdair J. G. Gray, Marta Sabou, Markus Krötzsch, Freddy Lécué, Fabian Flöck, Yolanda Gil
Proceedings of the 15th International Semantic Web Conference (ISWC 2016), Part I
Volume 9981 of LNCS, 2016. Springer
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Paul T. Groth, Elena Simperl, Alasdair J. G. Gray, Marta Sabou, Markus Krötzsch, Freddy Lécué, Fabian Flöck, Yolanda Gil
Proceedings of the 15th International Semantic Web Conference (ISWC 2016), Part II
Volume 9982 of LNCS, 2016. Springer
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Steffen Hölldobler, Markus Krötzsch, Rafael Peñaloza Nyssen, Sebastian Rudolph
KI 2015: Advances in Artificial Intelligence - Proceedings of the 38th Annual German Conference on AI
Volume 9324 of LNAI, 2015. Springer
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Kostis Kyzirakos, Cory A. Henson, Matthew Perry, Dalia Varanka, Rolf Grütter, Jean-Paul Calbimonte, Irene Celino, Emanuele Della Valle, Daniele Dell'Aglio, Markus Krötzsch, Stefan Schlobach
Joint Proceedings of the 1st Joint International Workshop on Semantic Sensor Networks and Terra Cognita (SSN-TC 2015) and the 4th International Workshop on Ordering and Reasoning (OrdRing 2015)
Volume 1488 of CEUR Workshop Proceedings, 2015. CEUR-WS.org
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Irene Celino, Emanuele Della Valle, Markus Krötzsch, Stefan Schlobach
Proceedings of the 2nd International Workshop on Ordering and Reasoning, OrdRing 2013
Volume 1059 of CEUR Workshop Proceedings, 2013. CEUR-WS.org
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Thomas Eiter, Birte Glimm, Yevgeny Kazakov, Markus Krötzsch
Informal Proceedings of the 26th International Workshop on Description Logics, Ulm, Germany, July 23 - 26, 201
Volume 1014 of CEUR Workshop Proceedings, 2013. CEUR-WS.org
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Sebastian Rudolph, Georg Gottlob, Ian Horrocks, Frank van Harmelen
Reasoning Web. Semantic Technologies for Intelligent Data Access - 9th International Summer School 2013, Mannheim, Germany, July 30 - August 2, 2013. Proceedings
Volume 8067 of Lecture Notes in Computer Science, 2013. Springer
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Markus Krötzsch, Umberto Straccia
Web Reasoning and Rule Systems - 6th International Conference, RR 2012, Vienna, Austria, September 10-12, 2012. Proceeding
Volume 7497 of Lecture Notes in Computer Science, 2012. Springer
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Doctoral Theses
Sarah Alice Gaggl
A Comprehensive Analysis of the cf2 Argumentation Semantics: From Characterization to Implementation
Phd thesis, TU Wien, 2013/03/04
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Technical Reports
Stephan Böhme, Marcel Lippmann
Description Logics of Context with Rigid Roles Revisited
Technical Report, Chair of Automata Theory, TU Dresden, volume 15-04, May 2015. LTCS-Report
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Markus Krötzsch, Frantisek Simancik, Ian Horrocks
A Description Logic Primer
Technical Report, arXiv.org, volume CoRR abs/1201.4089, January 2012
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Markus Krötzsch, Sebastian Rudolph
Revisiting Acyclicity and Guardedness Criteria for Decidability of Existential Rules
Technical Report, Institut AIFB, KIT, volume 3011, January 2011
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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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Markus Krötzsch
Working with Knowledge Graphs
Course at EDBT Summer School 2019, Lyon, France, 2019
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Markus Krötzsch
Ontological Modelling in Wikidata
Invited keynote at the 9th Workshop on Ontology Design and Patterns (WOP'18), 2018
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Markus Krötzsch
Recent Advances in Reasoning with Existential Rules
Presentation at the 2018 Workshop of the European Master in Computational Logic (EMCL), 2018
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Maximilian Marx, Markus Krötzsch
The New SQID: Improving Wikidata Made Easy
Presentation at WikidataCon 2017, 2017
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Sarah Alice Gaggl, Norbert Manthey
ASPARTIX-D Ready for the Competition
Presentation at Argumentation Spring Meeting 2015, Leipzig, April 2015
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Markus Krötzsch
Morphisms in Logic, Topology, and Formal Concept Analysis
Master's thesis, Technische Universität Dresden, February 2005
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cfaed
CENTER FOR ADVANCING ELECTRONICS DRESDEN
CPEC
Center for Perspicuous Computing
DeciGUT
A Grand Unified Theory of Decidability in Logic-Based Knowledge Representation
InnoSale
Innovating Sales and Planning of Complex Industrial Products Exploiting Artificial Intelligence
Nemo
A fast, scalable, and reliable rule engine
SECAI
School of Embedded Composite Artificial Intelligence
SEMECO-Q2
Secure Medical Microsystems and Communications: AI-assisted Regulatory Affairs for Medicine and Cybersecurity
ScaDS.AI
Center for Scalable Data Analytics and Artificial Intelligence
Adf-bdd
Abstract Dialectical Frameworks solved with Binary Decision Diagrams
