Arc and path consistence revisited
Artificial Intelligence
Network-based heuristics for constraint-satisfaction problems
Artificial Intelligence
Tree clustering for constraint networks (research note)
Artificial Intelligence
Enhancement schemes for constraint processing: backjumping, learning, and cutset decomposition
Artificial Intelligence
On some partial line graphs of a hypergraph and the associated matroid
Discrete Mathematics
A Sufficient Condition for Backtrack-Free Search
Journal of the ACM (JACM)
On the Desirability of Acyclic Database Schemes
Journal of the ACM (JACM)
Synthesizing constraint expressions
Communications of the ACM
Theory of Relational Databases
Theory of Relational Databases
Engineering Applications of Artificial Intelligence
Hi-index | 0.00 |
The problem of checking for consistency of Constraint-Satisfaction Problems (CSPs) is a fundamental problem in the field of constraint-based reasonning. Moreover, it is a hard problem since satisfiability of CSPs belongs to the class of NPcomplete problems. So, in (Freuder 1982), Freuder gave theoretical results concerning consistency of binary CSPs (two variables per constraints). In this paper, we proposed an extension to these results to general CSP (n-ary constraints). On one hand, we define a partial consistency well adjusted to general CSPs called hyper-k-consistency. On the other hand, we proposed a measure of the connectivity of hypergraphs called width of hypergraphs. Using width of hypergraphs and hyper-k-consistency, we derive a theorem defining a sufficient condition for consistency of general CSPs.