Puzzling Puzzle

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Across
  1. 1. a puzzle deriving from the mathematical field of deduction
  2. 6. in general, a form of puzzle that requires thought to solve.
  3. 7. a puzzle made up of letters arranged in a grid which contains a number of hidden words running in various directions.
  4. 8. a word puzzle featuring encrypted text that the user decrypts to reveal a message of some sort.
Down
  1. 2. a puzzle consisting of a grid of squares and blanks into which words crossing vertically and horizontally are written according to clues.
  2. 3. based on mathematical or numerical facts, rules, and objects, or whose solution requires strong mathematical reasoning, thought or consideration.
  3. 4. a puzzle involving rearranging letters in existing words to form new words
  4. 5. a logic-based, combinatorial number-placement puzzle
  5. 9. a question or statement intentionally phrased so as to require ingenuity in ascertaining its answer or meaning, typically presented as a game
  6. 10. a network of paths and hedges designed as a puzzle through which one has to find a way