Constraint propagation algorithms for temporal reasoning: a revised report
Readings in qualitative reasoning about physical systems
Reasoning about qualitative temporal information
Artificial Intelligence - Special volume on constraint-based reasoning
Complexity and algorithms for reasoning about time: a graph-theoretic approach
Journal of the ACM (JACM)
Journal of the ACM (JACM)
Reasoning about temporal relations: a maximal tractable subclass of Allen's interval algebra
Journal of the ACM (JACM)
The complexity of querying indefinite data about linearly ordered domains
Journal of Computer and System Sciences - Special issue: dedicated to the memory of Paris Kanellakis
Twenty-one large tractable subclasses of Allen's algebra
Artificial Intelligence
A shorter model theory
Conjunctive-query containment and constraint satisfaction
PODS '98 Proceedings of the seventeenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
Maintaining knowledge about temporal intervals
Communications of the ACM
Tractable disjunctions of linear constraints: basic results and applications to temporal reasoning
Theoretical Computer Science
Constraint Processing
Reasoning about temporal relations: The tractable subalgebras of Allen's interval algebra
Journal of the ACM (JACM)
Scheduling with AND/OR Precedence Constraints
SIAM Journal on Computing
Handbook of Temporal Reasoning in Artificial Intelligence (Foundations of Artificial Intelligence (Elsevier))
Relation Algebras and their Application in Temporal and Spatial Reasoning
Artificial Intelligence Review
Classifying the Complexity of Constraints Using Finite Algebras
SIAM Journal on Computing
The complexity of temporal constraint satisfaction problems
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Datalog and constraint satisfaction with infinite templates
STACS'06 Proceedings of the 23rd Annual conference on Theoretical Aspects of Computer Science
The complexity of temporal constraint satisfaction problems
Journal of the ACM (JACM)
Proceedings of the forty-third annual ACM symposium on Theory of computing
Syntactically characterizing local-to-global consistency in ORD-Horn
CP'12 Proceedings of the 18th international conference on Principles and Practice of Constraint Programming
Nogoods in qualitative constraint-based reasoning
KI'12 Proceedings of the 35th Annual German conference on Advances in Artificial Intelligence
Constraint satisfaction tractability from semi-lattice operations on infinite sets
ACM Transactions on Computational Logic (TOCL)
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We introduce a new tractable temporal constraint language, which strictly contains the Ord-Horn language of Bürkert and Nebel and the class of AND/OR precedence constraints. The algorithm we present for this language decides whether a given set of constraints is consistent in time that is quadratic in the input size. We also prove that (unlike Ord-Horn) the constraint satisfaction problem of this language cannot be solved by Datalog or by establishing local consistency.