Reasoning about temporal relations: a maximal tractable subclass of Allen's interval algebra
Journal of the ACM (JACM)
Local and global relational consistency
Theoretical Computer Science - Special issue: principles and practice of constraint programming
Algorithms on strings, trees, and sequences: computer science and computational biology
Algorithms on strings, trees, and sequences: computer science and computational biology
A Sufficient Condition for Backtrack-Free Search
Journal of the ACM (JACM)
The difficulty of constructing a leaf-labelled tree including or avoiding given subtrees
Discrete Applied Mathematics
Maintaining knowledge about temporal intervals
Communications of the ACM
The Constraint Language for Lambda Structures
Journal of Logic, Language and Information
STACS '02 Proceedings of the 19th Annual Symposium on Theoretical Aspects of Computer Science
Reasoning about temporal relations: The tractable subalgebras of Allen's interval algebra
Journal of the ACM (JACM)
D-theory: talking about talking about trees
ACL '83 Proceedings of the 21st annual meeting on Association for Computational Linguistics
On determining the consistency of partial descriptions of trees
ACL '94 Proceedings of the 32nd annual meeting on Association for Computational Linguistics
Reasoning with descriptions of trees
ACL '92 Proceedings of the 30th annual meeting on Association for Computational Linguistics
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
Constraint Satisfaction Problems with Infinite Templates
Complexity of Constraints
The complexity of rooted phylogeny problems
Proceedings of the 13th International Conference on Database Theory
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume One
Journal of Artificial Intelligence Research
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We present an efficient algorithm that decides the consistency of partial descriptions of ordered trees. The constraint language of these descriptions was introduced by Cornell in computational linguistics; the constraints specify for pairs of nodes sets of admissible relative positions in an ordered tree. Cornell asked for an algorithm to find a tree structure satisfying these constraints. This computational problem generalizes the common-supertree problem studied in phylogenetic analysis, and also generalizes the network consistency problem of the so-called left-linear point algebra. We present the first polynomial time algorithm for Cornell's problem, which runs in time O(mn), where m is the number of constraints and n the number of variables in the constraint.