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1 DSI - Département Systèmes d-Information

Abstract : 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. This chapter is the full Introduction of the book

keyword : Constraint Satisfaction Artificial Intelligence Constructive Logic Logic Puzzles Sudoku Futoshiki Kakuro Numbrix Hidato





Autor: Denis Berthier -

Fuente: https://hal.archives-ouvertes.fr/



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