Constraint Resolution Theories - Softcover

BERTHIER, Pr Denis

Softcover

ISBN 10: 1447868889 ISBN 13: 9781447868880

Publisher: Lulu Press, Inc., 2011

Synopsis

"Constraint Resolution Theories" introduces a pure logic perspective of the finite Constraint Satisfaction Problem (CSP), with emphasis on finding the "simplest" solution. Based on constructive logic, the resolution paradigm involves resolution rules, i.e. logical formulæ in the condition-action form, where the condition pattern implies the elimination of a candidate (a possible value for a CSP variable). Defining a resolution theory as a set of resolution rules, it introduces several families of such theories. Each of them carries its own notion of simplicity, defines a rating of CSP instances and satisfies two main theorems: the confluence property (guaranteeing that the associated rating has good computational properties) and a correspondence with a form of structured search procedure without guessing (Trial-and-Error). Throughout the book, Sudoku is used for illustrative purposes.

Edition details

• Publisher: Lulu Press, Inc.
• Publication date: 2011
• Language: English
• ISBN 10: 1447868889
• ISBN 13: 9781447868880
• Binding: Paperback
• Edition number: 1
• Number of pages: 312