1. A board has:
- any set of placeholders called cells.
- any set of cells called regions, each with the same size.
- every cell at least in one region.
- a board
- a set of symbols with the same size as the regions
- the instruction: Write one symbol on each empty cell so that every region has all symbols in the set.
- a set of clues: a particular set of pairs (symbol, cell) for some cells
- a solution: the only set of pairs (symbol, cell), amongst those that fulfill the instruction, to have the clues as a subset.
4. The Latin Puzzle (upper-case p) is the set of puzzles that results when we render variable the board, the set of symbols and the clues in a given puzzle.
With this definition, the Latin square Puzzle, classical Sudoku and other are all Latin Puzzles.