Download e-book for kindle: Recent Advances in Constraints: Joint ERCIM/CologNet by Manuel Hermenegildo, Germán Puebla, Francisco Bueno (auth.),

By Manuel Hermenegildo, Germán Puebla, Francisco Bueno (auth.), Barry O’Sullivan (eds.)

ISBN-10: 3540009868

ISBN-13: 9783540009863

ISBN-10: 3540366075

ISBN-13: 9783540366072

This publication constitutes the completely refereed post-proceedings of the Joint ERCIM/CologNet overseas Workshop on Constraint fixing and Constraint good judgment Programming, held in Cork, eire in June 2002.

The 14 revised complete papers offered have been rigorously chosen for inclusion within the publication in the course of rounds of reviewing and revision. one of the themes addressed are verification and debugging of constraint good judgment courses, modeling and fixing CSPs, rationalization new release, inference and inconsistency processing, SAT and 0/1 encodings of CSPs, tender constraints and constraint rest, real-world purposes, and allotted constraint solving.

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Additional resources for Recent Advances in Constraints: Joint ERCIM/CologNet International Workshop on Constraint Solving and Constraint Logic Programming Cork, Ireland, June 19–21, 2002. Selected Papers

Example text

2, these tuples are excluded from the match. The meaning of degradation assume different meanings when instantiated to different semirings: δ 1. fuzzy CSP: b ∈ FS v (a) gets instantiated to: min(minc∈C (cη[v := a]), δ) ≤ minc∈C (cη[v := b]) which means that changing v := b to v := a does not make the solution worse than before or worse than δ. In the practical case where we want to only consider solutions with a quality better than δ, this means that substitution will never put a solution out of this class.

Theorem 5 (Extensivity for α and δ). t. t. δ ≥ δ . Then, δ δ a ∈ NS v (b) =⇒ a ∈ NS v (b) and a ∈ α NS v (b) =⇒ a ∈ α NS v (b) Similar results holds for FS , NI , FI . As a corollary when threshold and degradation are 0 or 1 we have some special results. Corollary 2. When α = 0 and δ = 1, we obtain the non approximated versions of NS . When α = 1 and δ = 0, all domain values are substitutable. 1 ∀a, b, a ∈ 0 NS v (b) and a ∈ NS v (b) ⇐⇒ a ∈ N S(b) 0 ∀a, b, a ∈ 1 NS v (b) and a ∈ NS v (b) Similar results holds for FS , NI , FI .

Also, we perform simple checks for redundancy such as, in the case of equality, the left hand side being syntactically identical to the right hand side. Finally, when eliminating with equality the original constraint is removed following elimination in order to avoid cluttering the constraint set. Eliminate has a higher priority than introduce: there is no point in introducing variables for common terms that will be eliminated anyway. Following the introduction of z0 = x1 − x2 in the example, various instances of eliminate can fire.

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Recent Advances in Constraints: Joint ERCIM/CologNet International Workshop on Constraint Solving and Constraint Logic Programming Cork, Ireland, June 19–21, 2002. Selected Papers by Manuel Hermenegildo, Germán Puebla, Francisco Bueno (auth.), Barry O’Sullivan (eds.)


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