Most puzzles which are not word puzzle
s dependent on the meanings of words, like crossword
s, can be thought of as logic puzzles in some sense. Sometimes the pure math puzzle
s are separated from these as another separate class of puzzle.
The World Puzzle Championship consists mainly of logic puzzles and some math puzzles.
Old Chestnuts are often logic puzzles; you can find many examples at that node.
One popular category of logic puzzles are what I call grid-logic puzzles; these include Paint by numbers, battleships, most path puzzles, and other similar puzzles.