"The Hidden Logic of Sudoku" provides the first systematic
perspective of the logical foundations and of the symmetries of the
popular game. These are fully exploited to define new resolution
rules, new graphical representations and an ordering of the rules
consistent with their complexity. The classical pattern of
xy-chains has been extended into a homogeneous set of chain rules
that, when added to a few elementary rules, suffices to solve
almost any puzzle. These rules are illustrated with a hundred
puzzles with their full resolution paths. A large collection of
puzzles has been processed by Artificial Intelligence (AI)
techniques, leading to a precise evaluation of the efficiency of
each rule. This pedagogical book is intended for both Sudoku
players (who will discover many new facets of the game and new
rules - all set in a uniform conceptual framework based on
patterns) and teachers or students of Logic or AI (who will
appreciate the strict logical foundations).
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