Reasoning about temporal relations: a maximal tractable subclass of Allen's interval algebra
Journal of the ACM (JACM)
A shorter model theory
Closure properties of constraints
Journal of the ACM (JACM)
Maintaining knowledge about temporal intervals
Communications of the ACM
The complexity of maximal constraint languages
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Reasoning about temporal relations: The tractable subalgebras of Allen's interval algebra
Journal of the ACM (JACM)
Point algebras for temporal reasoning: algorithms and complexity
Artificial Intelligence
A Graph of a Relational Structure and Constraint Satisfaction Problems
LICS '04 Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science
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
Constraint Satisfaction with Countable Homogeneous Templates
Journal of Logic and Computation
A complete classification of tractability in RCC-5
Journal of Artificial Intelligence Research
The complexity of equality constraint languages
CSR'06 Proceedings of the First international computer science conference on Theory and Applications
Datalog and constraint satisfaction with infinite templates
STACS'06 Proceedings of the 23rd Annual conference on Theoretical Aspects of Computer Science
Constraint Satisfaction Problems with Infinite Templates
Complexity of Constraints
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We systematically investigate the computational complexity of constraint satisfaction problems for constraint languages over an infinite domain. In particular, we study a generalization of the wellestablished notion of maximal constraint languages from finite to infinite domains. If the constraint language can be defined with an ω-categorical structure, then maximal constraint languages are in one-to-one correspondence to minimal oligomorphic clones. Based on this correspondence, we derive general tractability and hardness criteria for the corresponding constraint satisfaction problems.