Exploiting Monotonicity in Interval Constraint Propagation - École des Ponts ParisTech Access content directly
Conference Papers Year : 2010

Exploiting Monotonicity in Interval Constraint Propagation


We propose in this paper a new interval constraint propagation algorithm, called MOnotonic Hull Consistency (Mohc), that exploits monotonicity of functions. The propagation is standard, but the Mohc-Revise procedure, used to filter/contract the variable domains w.r.t. an individual constraint, uses monotonic versions of the classical HC4-Revise and BoxNarrow procedures. Mohc-Revise appears to be the first adaptive revise procedure ever proposed in (interval) constraint programming. Also, when a function is monotonic w.r.t. every variable, Mohc-Revise is proven to compute the optimal/sharpest box enclosing all the solutions of the corresponding constraint (hull consistency). Very promising experimental results suggest that Mohc has the potential to become an alternative to the state-of-the-art HC4 and Box algorithms.
No file

Dates and versions

hal-00654400 , version 1 (21-12-2011)


  • HAL Id : hal-00654400 , version 1


Ignacio Araya, Gilles Trombettoni, Bertrand Neveu. Exploiting Monotonicity in Interval Constraint Propagation. Twenty-Fourth AAAI Conference on Artificial Intelligence, Jul 2010, Atlanta, United States. pp.9-14. ⟨hal-00654400⟩
223 View
1 Download


Gmail Mastodon Facebook X LinkedIn More