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Enhancing constraints manipulation in semiring-based formalisms
@INPROCEEDINGS{BG:ECAI2006:ECMSBF,
title = {{Enhancing constraints manipulation in semiring-based formalisms}},
author = {{Stefano} {Bistarelli} and {Fabio} {Gadducci}},
booktitle = {Proceedings of ECAI 2006, 17th European Conference on Artificial Intelligence},
editor = {Gerhard Brewka and Silvia Coradeschi and Anna Perini and Paolo Traverso},
pages = {63-67},
abstract = {Many semiring-like structures are used in Soft Constraint Satisfaction Problems (SCSPs). We review a few properties of semirings that are useful for dealing with soft constraints, highlighting the differences between alternative proposals in the literature. We then extend the semiring structure, by adding the notion of division as weak kind of inverse operation of product. In particular, division is needed to apply constraint relaxation when the product operation of the semiring is not idempotent. The division operator is introduced via residuation and is also able to deal with partial orders, generalizing the approach given for valued CSPs.},
publisher = {IOS Press},
series = {Frontiers in Artificial Intelligence and Applicati},
volume = {141},
year = {2006},
url = {http://rap.dsi.unifi.it/sensoriasite/ECAI06_015.pdf},
partner = {PISA},
status = {public},
task = {T5.1},
}
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