• The killer was Professor Plum (p) or Colonel Mustard (-p), but not both. • The murder happened in the kitchen (k) or the study (-k), but not both. • The murder weapon was a candlestick (c), a baseball bat (b), both (c1b), or neither (-01-6). • (I) If Professor Plum did it or if it was with the candlestick, then it was not with the baseball bat ((p V c) + -b). • (II) If it was in the study, the baseball bat was used (-k +b). • (III) If it was in the kitchen, then it was Colonel Mustard with the candlestick (k − ( p^c)). • (IV) If it was with the candlestick, then it was Professor Plum in the study (c + (p^-k)). Here are two other murder mysteries for you to solve.

1. Here the meanings of the four basic propositions b, c, k, and p are exactly the same as in the example above, given by the first three unnumbered statements. Your new clues are:_______.

(a) Clue I: If the candlestick was used, then Professor Plum did it.

(b) Clue II: If Professor Plum did it, then he did not use either the baseball bat or the candlestick.

(c) Clue III: If the baseball bat was not used, then Professor Plum did it in the kitchen.

(d) Clue IV: If the candlestick was not used, then the baseball bat was used in the study.

2. In this case we have six boolean variables to worry about. The murderer may have been Colonel Mustard (m), Professor Plum (p), or Miss Scarlet (s), or any combination of all or none of these. Again the location was either the kitchen (k) or the study (-k) but not both. The weapon may have been the bat (b), the candlestick (c), both, or neither. You have six clues: Your clues are: (a) Clue I: If the candlestick was used, it was in the kitchen and Colonel Mustard was involved. (b) Clue II: If either Professor Plum is innocent or Miss Scarlet is guilty, then either the bat or the candlestick, or both, was used. (c) Clue III: If it was Professor Plum with the candlestick, then Colonel Mustard is innocent. (d) Clue IV: If Miss Scarlet is innocent, either Professor Plum was involved or it was done in the study. (e) Clue V: If the baseball bat was used, then it was in the study and Professor Plum is innocent. (f) Clue VI: Unless it was Miss Scarlet in the kitchen, the candlestick was used.