The "Hidden Logic of Sudoku" provides the first systematic
perspective of the logical symmetries of the popular game. These
are fully exploited to define new graphical representations, new
kinds of resolution rules and a precedence ordering of the rules
consistent with their logical complexity. The set of rules defined
in the book is illustrated with a hundred of puzzles together with
their full resolution paths. It suffices to solve almost any puzzle
without making guesses or assuming the uniqueness of a solution. It
has been fed into an Artificial Intelligence (AI) engine and a
large database of puzzles has been processed, leading to a precise
evaluation of the efficiency of each rule. The book is intended for
both advanced Sudoku players (who will discover many new facets of
the game and a new, systematic approach to the resolution rules)
and for teachers or students of Logic or AI (who will appreciate
the strict logical foundations).
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