DeciGUT

A Grand Unified Theory of Decidability in Logic-Based Knowledge Representation

Research group

Computational Logic

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Information
Publications

Contact Sebastian Rudolph
2018 – 2024
funded by European Research Council

The project deals with the formal foundations of knowledge management as well as their application in today's information society. Among the biggest challenges in this area are the intelligent access to digital information as well as the automated composition of information from diverse sources. For these purposes, logical specifications of background knowledge - so-called ontologies - can be used together with automated reasoning techniques in order to enable a "meaning-aware" handling of data.

Unfortunately, reasoning in ontology languages of high expressivity is impossible to capture algorithmically – they are undecidable. Therefore, the quest for "good" ontology languages consists in identifying logical formalisms which are as expressive as possible, yet still decidable. Hitherto, the obtained results in this area have, however, been patchy and fragmented.

The goal of the DeciGUT project is the creation of a unified theory of decidability, which in turn will enable the definition of new, advanced ontology languages.

The project is of high relevance to diverse scientific fields like mathematical logic, artificial intelligence, and database theory with potentially far-reaching impact in areas such as semantic technologies and information systems.

Journal Articles

Bartosz Bednarczyk
Exploring Non-Regular Extensions of Propositional Dynamic Logic with Description-Logics Features.
Logical Methods in Computer Science, 20(2):7:1–7:31, May 2024
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Tim Lyon, Kees van Berkel
Proof Theory and Decision Procedures for Deontic STIT Logics
Journal of Artificial Intelligence Research, to appear
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Bartosz Bednarczyk, Sebastian Rudolph
How to Tell Easy from Hard: Complexities of Conjunctive Query Entailment in Extensions of ALC
Journal of Artificial Intelligence Research, 78:385–458, November 2023
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Kees van Berkel, Tim Lyon, Matteo Pascucci
A Logical Analysis of Instrumentality Judgments: Means-End Relations in the Context of Experience and Expectations
Journal of Philosophical Logic, 52:1475–1516, 2023
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Tim Lyon
Nested Sequents for Intermediate Logics: The Case of Gödel-Dummett Logics
Journal of Applied Non-Classical Logics, 33(2):121-164, 2023
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Sarah Alice Gaggl, Sebastian Rudolph, Hannes Straß
On the Decomposition of ADFs and the Complexity of Naive-based Semantics
Journal of Artificial Intelligence Research, 70:1-64, January 2021
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Norbert Manthey, Rafael Peñaloza Nyssen, Sebastian Rudolph
SATPin: Axiom Pinpointing for Lightweight Description Logics through Incremental SAT
Künstliche Intelligenz, 34(3):389-394, 2020
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Thomas Feller, Christian Pech, Maja Pech
The classification of homomorphism homogeneous tournaments
European Journal of Combinatorics, 89:103142, October 2020
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Proceedings Articles

Tim Lyon, Ian Shillito, Alwen Tiu
Taking Bi-Intuitionistic Logic First-Order: A Proof-Theoretic Investigation via Polytree Sequents
In Jörg Endrullis, Sylvain Schmitz, eds., Proceedings of the 33rd EACSL Annual Conference on Computer Science Logic 2025, volume 326 of LIPIcs, to appear. Schloss Dagstuhl - Leibniz-Zentrum für Informatik
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Tim Lyon
Unifying Sequent Systems for Gödel-Löb Provability Logic via Syntactic Transformations
In Jörg Endrullis, Sylvain Schmitz, eds., Proceedings of the 33rd EACSL Annual Conference on Computer Science Logic 2025, volume 326 of LIPIcs, to appear. Schloss Dagstuhl - Leibniz-Zentrum für Informatik
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Tim Lyon
On Explicit Solutions to Fixed-Point Equations in Propositional Dynamic Logic
Proceedings of the Eleventh International Conference on Fundamentals of Software Engineering (FSEN), LNCS, to appear. Springer
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Bartosz Bednarczyk
Data Complexity in Expressive Description Logics With Path Expressions
Proceedings of the 33rd International Joint Conference on Artificial Intelligence, IJCAI 2024, 3241--3249, August 2024. ijcai.org
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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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Piotr Ostropolski-Nalewaja, Tim Lyon
Decidability of Quasi-Dense Modal Logics
Proceedings of the 39th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2024), 2024. ACM
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Lucía Gómez Álvarez, Sebastian Rudolph
Reasoning in SHIQ with Axiom- and Concept-Level Standpoint Modalities
In Pierre Marquis, Magdalena Ortiz, Maurice Pagnucco, eds., Proceedings of the 21st International Conference on Principles of Knowledge Representation and Reasoning, 383–393, 2024. IJCAI Organization
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Piotr Ostropolski-Nalewaja, Sebastian Rudolph
The Sticky Path to Expressive Querying: Decidability of Navigational Queries under Existential Rules
In Pierre Marquis, Magdalena Ortiz, Maurice Pagnucco, eds., Proceedings of the 21st International Conference on Principles of Knowledge Representation and Reasoning, 574–584, 2024. IJCAI 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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Tim Lyon, Piotr Ostropolski-Nalewaja
Connecting Proof Theory and Knowledge Representation: Sequent Calculi and the Chase with Existential Rules
Proceedings of the 20th International Conference on Principles of Knowledge Representation and Reasoning, 769-773, 2023. IJCAI Inc
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Bartosz Bednarczyk
Beyond ALCreg: Exploring Non-Regular Extensions of PDL with Description Logics Features
In Sarah Alice Gaggl, Maria Vanina Martinez, Magdalena Ortiz, eds., Proceedings of the 18th Edition of the European Conference on Logics in Artificial Intelligence (JELIA 2023), Logics in Artificial Intelligence, 289--305, to appear. Springer International Publishing
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Tim Lyon, Eugenio Orlandelli
Nested Sequents for Quantified Modal Logics
In Revantha Ramanayake, Josef Urban, eds., Proceedings of Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 2023), 449--467, 2023
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Thomas Feller, Tim Lyon, Piotr Ostropolski-Nalewaja, Sebastian Rudolph
Finite-Cliquewidth Sets of Existential Rules – Toward a General Criterion for Decidable yet Highly Expressive Querying
In Geerts, Floris and Vandevoort, Brecht, eds., Proceedings of the 26th International Conference on Database Theory (ICDT 2023), volume 255 of Leibniz International Proceedings in Informatics (LIPIcs), 18:1-18:18, March 2023. Schloss Dagstuhl - Leibniz-Zentrum für Informatik
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Tim Lyon, Sebastian Rudolph
Derivation-Graph-Based Characterizations of Decidable Existential Rule Sets
In Sarah Alice Gaggl, Maria Vanina Martinez, Magdalena Ortiz, eds., Proceedings of the 18th European Conference on Logics in Artificial Intelligence (JELIA 2023), volume 14281 of Lecture Notes in Artificial Intelligence, 369-384, 2023. Springer
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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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Bartosz Bednarczyk, Daumantas Kojelis, Ian Pratt-Hartmann
On the Limits of Decision: the Adjacent Fragment of First-Order Logic
In Kousha Etessami, Uriel Feige, and Gabriele Puppis, eds., Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming, ICALP 2023, volume 261 of Leibniz International Proceedings in Informatics, 114:1--114:20, to appear. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik
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Lucía Gómez Álvarez, Sebastian Rudolph, Hannes Straß
Tractable Diversity: Scalable Multiperspective Ontology Management via Standpoint EL
Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023, 3258-3267, 2023. ijcai.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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Tim Lyon, Lucía Gómez Álvarez
Automating Reasoning with Standpoint Logic via Nested Sequents
In Gabriele Kern-Isberner, Gerhard Lakemeyer, Thomas Meyer, eds., Proceedings of the 19th International Conference on the Principles of Knowledge Representation and Reasoning (KR'22), 2022. IJCAI Organization
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Lucía Gómez Álvarez, Sebastian Rudolph, Hannes Straß
How to Agree to Disagree: Managing Ontological Perspectives using Standpoint Logic
In Ulrike Sattler, Aidan Hogan, Maria Keet, Valentina Presutti, João Paulo A. Almeida, Hideaki Takeda, Pierre Monnin, Giuseppe Pirrò, Claudia d'Amato, eds., Proceedings of the 21st International Semantic Web Conference (ISWC 22), volume 13489 of Lecture Notes in Computer Science, October 2022. Springer
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Bartosz Bednarczyk, Mateusz Urbanczyk
Comonadic Semantics for Description Logics Games
In Ofer Arieli, Martin Homola, Jean Christoph Jung, Marie-Laure Mugnier, eds., Proceedings of the 35th International Workshop on Description Logics (DL 2022), August 2022
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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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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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Bartosz Bednarczyk, Reijo Jaakkola
Towards Model Theory of Ordered Logics: Expressivity and Interpolation
In Stefan Szeider, Robert Ganian, Alexandra Silva, eds., Proceedings of the 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022), volume 241 of Leibniz International Proceedings in Informatics, 15:1--15:14, August 2022. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik
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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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Tim Lyon, Jonas Karge
Uniform and Modular Sequent Systems for Description Logics
In Ofer Arieli, Martin Homola, Jean Christoph Jung, Marie-Laure Mugnier, eds., Proceedings of the 35th International Workshop on Description Logics (DL 2022), 2022
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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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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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Frederic Dörband, Thomas Feller, Kevin Stier
Approximated Determinisation of Weighted Tree Automata
In Alberto Leporati, Carlos Martín-Vide, Dana Shapira, Claudio Zandron, eds., Language and Automata Theory and Applications. LATA 2021., volume 12638 of Lecture Notes in Computer Science, 255-266, February 2021. Springer
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Sarah Alice Gaggl, Sebastian Rudolph, Hannes Straß
On the Decomposition of ADFs and the Complexity of Naive-based Semantics
IJCAI 2021 Journal Track, 2021
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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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Frederic Dörband, Thomas Feller, Kevin Stier
Sequentiality of Group-Weighted Tree Automata
In Alberto Leporati, Carlos Martín-Vide, Dana Shapira, Claudio Zandron, eds., Language and Automata Theory and Applications. LATA 2021., volume 12638 of Lecture Notes in Computer Science, 267-278, February 2021. Springer
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Camille Bourgaux, David Carral, Markus Krötzsch, Sebastian Rudolph, Michaël Thomazo
Capturing Homomorphism-Closed Decidable Queries with Existential Rules
In Meghyn Bienvenu, Gerhard Lakemeyer, Esra Erdem, eds., Proc. 18th International Conference on Principles of Knowledge Representation and Reasoning (KR'21), 141--150, 2021
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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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Tim Lyon
A Framework for Intuitionistic Grammar Logics
In Pietro Baroni, Christoph Benzmüller, Yὶ N. Wang, eds., Logic and Argumentation, volume 13040, 495-503, October 2021. Springer International Publishing
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Bartosz Bednarczyk, Sebastian Rudolph
The Price of Selfishness: Conjunctive Query Entailment for ALCSelf is 2ExpTime-hard (Extended Abstract)
In Martin Homola, Vladislav Ryzhikov, Renate A. Schmidt, eds., Proceedings of the 34th International Workshop on Description Logics (DL 2021), volume 2954 of CEUR Workshop Proceedings, September 2021. CEUR-WS.org
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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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Bartosz Bednarczyk, Emanuel Kieroński
Finite-Controllability of Conjunctive Queries in the Z family of Description Logics (Extended Abstract)
In Martin Homola, Vladislav Ryzhikov, Renate A. Schmidt, eds., Proceedings of the 34th International Workshop on Description Logics (DL 2021), volume 2954 of CEUR Workshop Proceedings, September 2021. CEUR-WS.org
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Tim Lyon
Nested Sequents for Intuitionistic Modal Logics via Structural Refinement
In Anupam Das, Sara Negri, eds., Automated Reasoning with Analytic Tableaux and Related Methods, 409-427, August 2021. Springer International Publishing
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Bartosz Bednarczyk, Stéphane Demri, Alessio Mansutti
A Framework for Reasoning about Dynamic Axioms in Description Logics
In Christian Bessiere, eds., Proceedings of the 29th International Joint Conference on Artificial Intelligence and the 17th Pacific Rim International Conference on Artificial Intelligence (IJCAI 2020), ijcai.org, 1681--1687, July 2020. International Joint Conferences on Artificial Intelligence
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Franz Baader, Bartosz Bednarczyk, Sebastian Rudolph
Satisfiability and Query Answering in Description Logics with Global and Local Cardinality Constraints
In Giuseppe De Giacomo. Alejandro Catala, Bistra Dilkina, Michela Milano, Senen Barro and Alberto Bugarin, Jerome Lang, eds., Proceedings of the 24th European Conference on Artificial Intelligence (ECAI 2020), volume 325 of Frontiers in Artificial Intelligence and Applications, 616-623, June 2020. IOS Press
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Bartosz Bednarczyk, Robert Ferens, Piotr Ostropolski-Nalewaja
All-Instances Oblivious Chase Termination is Undecidable for Single-Head Binary TGDs
In Christian Bessiere, eds., Proceedings of the 29th International Joint Conference on Artificial Intelligence and the 17th Pacific Rim International Conference on Artificial Intelligence (IJCAI 2020), ijcai.org, 1719--1725, July 2020. International Joint Conferences on Artificial Intelligence
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Bartosz Bednarczyk, Sebastian Rudolph
Worst-Case Optimal Querying of Very Expressive Description Logics with Path Expressions and Succinct Counting
In Mantas Simkus, Grant E. Weddell, eds., Proceedings of the 32nd International Workshop on Description Logics, volume 2373 of CEUR Workshop Proceedings, June 2019. CEUR-WS.org
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Franz Baader, Bartosz Bednarczyk, Sebastian Rudolph
Satisfiability Checking and Conjunctive Query Answering in Description Logics with Global and Local Cardinality Constraints
In Mantas Simkus, Grant E. Weddell, eds., Proceedings of the 32nd International Workshop on Description Logics, volume 2373 of CEUR Workshop Proceedings, June 2019. CEUR-WS.org
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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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Bartosz Bednarczyk, Sebastian Rudolph
Worst-Case Optimal Querying of Very Expressive Description Logics with Path Expressions and Succinct Counting
In Sarit Kraus, eds., Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence (IJCAI 2019), ijcai.org, 1530--1536, August 2019. International Joint Conferences on Artificial Intelligence
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Sebastian Rudolph, Lukas Schweizer, Zhihao Yao
SPARQL Queries over Ontologies Under the Fixed-Domain Semantics
In Abhaya C. Nayak, Alok Sharma, eds., PRICAI 2019: Trends in Artificial Intelligence - 16th Pacific Rim International Conference on Artificial Intelligence, Cuvu, Yanuca Island, Fiji, August 26-30, 2019, Proceedings, Part I, volume 11670 of Lecture Notes in Computer Science, 486--499, August 2019. Springer
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Bernhard Ganter, Sebastian Rudolph, Gerd Stumme
Explaining Data with Formal Concept Analysis
In Markus Krötzsch, Daria Stepanova, eds., Reasoning Web. Explainable Artificial Intelligence - 15th International Summer School 2019, Bolzano, Italy, September 20-24, 2019, Tutorial Lectures., volume 11810 of LNCS, 153-195, 2019. Springer
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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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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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Ana Ozaki, Markus Krötzsch, Sebastian Rudolph
Temporally Attributed Description Logics
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, 441-474. Springer, 2019
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Doctoral Theses

Bartosz Bednarczyk
Database-Inspired Reasoning Problems in Description Logics With Path Expressions
Phd thesis, Technischen Universitat Dresden, 2024/06/25
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Technical Reports

Bartosz Bednarczyk
Lutz's Spoiler Technique Revisited: A Unified Approach to Worst-Case Optimal Entailment of Unions of Conjunctive Queries in Locally-Forward Description Logics
Technical Report, arXiv.org, August 2021. Technical Report
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Manuel Bodirsky, Simon Knäuer, Sebastian Rudolph
Datalog-Expressibility for Monadic and Guarded Second-Order Logic
Technical Report, arXiv.org, volume 2010.05677, October 2020
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