A Proof Procedure for Data Dependencies
Journal of the ACM (JACM)
Conceptual structures: information processing in mind and machine
Conceptual structures: information processing in mind and machine
The monadic second-order logic of graphs. I. recognizable sets of finite graphs
Information and Computation
Complexity and expressive power of logic programming
ACM Computing Surveys (CSUR)
Foundations of Databases: The Logical Level
Foundations of Databases: The Logical Level
Reformulation of XML Queries and Constraints
ICDT '03 Proceedings of the 9th International Conference on Database Theory
Data Exchange: Semantics and Query Answering
ICDT '03 Proceedings of the 9th International Conference on Database Theory
Sound and Complete Forward and backward Chainingd of Graph Rules
ICCS '96 Proceedings of the 4th International Conference on Conceptual Structures: Knowledge Representation as Interlingua
The Implication Problem for Data Dependencies
Proceedings of the 8th Colloquium on Automata, Languages and Programming
Embedded implicational dependencies and their inference problem
STOC '81 Proceedings of the thirteenth annual ACM symposium on Theory of computing
Data exchange: semantics and query answering
Theoretical Computer Science - Database theory
Tractable Reasoning and Efficient Query Answering in Description Logics: The DL-Lite Family
Journal of Automated Reasoning
Proceedings of the twenty-seventh ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Graph-based Knowledge Representation: Computational Foundations of Conceptual Graphs
Graph-based Knowledge Representation: Computational Foundations of Conceptual Graphs
Generalized schema-mappings: from termination to tractability
Proceedings of the twenty-eighth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
A general datalog-based framework for tractable query answering over ontologies
Proceedings of the twenty-eighth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Complexity boundaries for horn description logics
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
Extensions of simple conceptual graphs: the complexity of rules and constraints
Journal of Artificial Intelligence Research
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Extending decidable cases for rules with existential variables
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Conjunctive query answering in the description logic EL using a relational database system
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
On chase termination beyond stratification
Proceedings of the VLDB Endowment
Query answering under non-guarded rules in datalog+/-
RR'10 Proceedings of the Fourth international conference on Web reasoning and rule systems
Datalog+/-: A Family of Logical Knowledge Representation and Query Languages for New Applications
LICS '10 Proceedings of the 2010 25th Annual IEEE Symposium on Logic in Computer Science
Advanced processing for ontological queries
Proceedings of the VLDB Endowment
On rules with existential variables: Walking the decidability line
Artificial Intelligence
Walking the complexity lines for generalized guarded existential rules
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
A general Datalog-based framework for tractable query answering over ontologies
Web Semantics: Science, Services and Agents on the World Wide Web
A sound and complete backward chaining algorithm for existential rules
RR'12 Proceedings of the 6th international conference on Web Reasoning and Rule Systems
Distributed ontology based data access via logic programming
RR'12 Proceedings of the 6th international conference on Web Reasoning and Rule Systems
ADBIS'12 Proceedings of the 16th East European conference on Advances in Databases and Information Systems
Disjunctive datalog with existential quantifiers: Semantics, decidability, and complexity issues
Theory and Practice of Logic Programming
Flag & check: data access with monadically defined queries
Proceedings of the 32nd symposium on Principles of database systems
Kiabora: an analyzer of existential rule bases
RR'13 Proceedings of the 7th international conference on Web Reasoning and Rule Systems
Sound, complete, and minimal query rewriting for existential rules
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Ontology based query answering with existential rules
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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The need for an ontological layer on top of data, associated with advanced reasoning mechanisms able to exploit the semantics encoded in ontologies, has been acknowledged both in the database and knowledge representation communities. We focus in this paper on the ontological query answering problem, which consists of querying data while taking ontological knowledge into account. To tackle this problem, we consider a logical framework based on existential rules, also called Tuple-Generating Dependencies or Datalog+/- rules. This framework can also be defined in graph terms. Query entailment with existential rules is not decidable, thus a crucial issue is to define decidable classes of rules as large as possible. This paper is a survey of decidable classes of rules, including a review of the main complexity results. It mostly relies on previous work presented at IJCAI'2009 [BLMS09] and KR'2010 [BLM10] (and developed in a journal paper [BLMS11]), updated to include very recent results.