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When the current goal is empty, a regular logic program interpreter stops and output the current substitution. In this condition, a constraint logic program stops. Its output may be the current domains as reduced via the local consistency conditions on the constraint store. Actual satisfiability and finding a solution is enforced via labeling literals. In particular, whenever the interpreter encounters the literal <math>labeling(variables)</math> during the evaluation of a clause, it runs a satisfiability checker on the current constraint store to try and find a satisfying assignment.
==Reference==
*{{cite book
| first=Rina
| last=Dechter
| title=Constraint processing
| publisher=Morgan Kaufmann
| year=2003
| url=http://www.ics.uci.edu/~dechter/books/index.html
}} ISBN 1-55860-890-7
*{{cite book
| first=Krzysztof
| last=Apt
| title=Principles of constraint programming
| publisher=Cambridge University Press
| year=2003
}} ISBN 0-521-82583-0
[[Category:Logic programming]]
[[Category:Constraint satisfaction]]
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