Question: CONSTRAINT SATISFACTION PROBLEMS Consider a traditional crossword puzzle, where each square contains a single letter of the alphabet (case insensitive). In a crossword puzzle, certain

CONSTRAINT SATISFACTION PROBLEMS

Consider a traditional crossword puzzle, where each square contains a single letter of the alphabet (case insensitive). In a crossword puzzle, certain squares are blacked out, and certain rows and columns are numbered, corresponding to clues that hint as to the word that fills that contiguous set of squares.

a) What are the variables in a crossword puzzle?

b) What are the possible values (the domain) of the variables?

c) Suppose for each square we have a constraint such that consecutive vertical and horizontal cells must form a word within some lexicon. Does this formulation necessarily specify a unique solution to the crossword?

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