Pattern-Based Constraint Satisfaction and Logic Puzzles

BERTHIER, Pr Denis

ISBN 10: 1291203397 / ISBN 13: 9781291203394

Edité par Lulu.com, 2012

In. N° de réf. du vendeur ria9781291203394_new

Synopsis :

"Pattern-Based Constraint Satisfaction and Logic Puzzles" develops a pure logic, pattern-based perspective of solving the finite Constraint Satisfaction Problem (CSP), with emphasis on finding the "simplest" solution. Different ways of reasoning with the constraints are formalised by various families of "resolution rules", each of them carrying its own notion of simplicity. A large part of the book illustrates the power of the approach by applying it to various popular logic puzzles. It provides a unified view of how to model and solve them, even though they involve very different types of constraints: obvious symmetric ones in Sudoku, non-symmetric but transitive ones (inequalities) in Futoshiki, topological and geometric ones in Map colouring, Numbrix and Hidato, and even much more complex non-binary arithmetic ones in Kakuro. It also shows that the most familiar techniques for these puzzles can indeed be understood as mere application-specific presentations of the general rules.

Présentation de l'éditeur: "Pattern-Based Constraint Satisfaction and Logic Puzzles" develops a pure logic, pattern-based perspective of solving the finite Constraint Satisfaction Problem (CSP), with emphasis on finding the "simplest" solution. Different ways of reasoning with the constraints are formalised by various families of "resolution rules", each of them carrying its own notion of simplicity. A large part of the book illustrates the power of the approach by applying it to various popular logic puzzles. It provides a unified view of how to model and solve them, even though they involve very different types of constraints: obvious symmetric ones in Sudoku, non-symmetric but transitive ones (inequalities) in Futoshiki, topological and geometric ones in Map colouring, Numbrix and Hidato, and even much more complex non-binary arithmetic ones in Kakuro. It also shows that the most familiar techniques for these puzzles can indeed be understood as mere application-specific presentations of the general rules.

Détails bibliographiques

Titre : Pattern-Based Constraint Satisfaction and ...
Éditeur : Lulu.com
Date d'édition : 2012
Reliure : Couverture souple
Etat : New