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Foundations of Constraint Processing CSCE421/821, Fall 2005:

New(er) Types of AC. Foundations of Constraint Processing CSCE421/821, Fall 2005: www.cse.unl.edu/~choueiry/F05-421-821/ Berthe Y. Choueiry (Shu-we-ri) Avery Hall, Room 123B choueiry@cse.unl.edu Tel: +1(402)472-5444. Singleton Arc Consistency. Repeat until no change occurs

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Foundations of Constraint Processing CSCE421/821, Fall 2005:

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  1. New(er) Types of AC Foundations of Constraint Processing CSCE421/821, Fall 2005: www.cse.unl.edu/~choueiry/F05-421-821/ Berthe Y. Choueiry (Shu-we-ri) Avery Hall, Room 123B choueiry@cse.unl.edu Tel: +1(402)472-5444 nFCi

  2. Singleton Arc Consistency • Repeat until no change occurs • Repeat for each variable • Repeat for each value in domain • Assign this value to this variable. • If the CSP is AC, keep the value. Otherwise, remove it. • Proposed by Debruyne &Bessière, IJCAI 97 nFCi

  3. Neighborhood inverse consistency • Repeat until no change occurs • Repeat for each variable • Consider only the neighborhood of the variable • Repeat for each value for the variable • If the value appears in any complete solution for the neighborhood, keep it. Otherwise, remove it. • Proposed by Freuder & Elfe, AAAI 96 nFCi

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