If you use this book/code/slides for
teaching, please let me know at
Adrian. Groza@cs.utcluj.ro.
Chapter 1. Getting
started with Prover9 and Mace4
Chapter 2. Micro
arithmetic puzzles
1. Logic equation 4x4:
2. Logic equation 4x4
3. Logic equation 5x5
4. Logic equation 9x9 (
pdf) (
tex)
5. Three squares
6. Pocket money
7. Dividing the legacy
8. Boys and girls
9. Robinson’s age
10. Five cards
11. A square family
12. Family ages
Chapter 3. Strange
numbers
0. Intro (
abelard&heloise.pdf)
(
abelard&heloise.tex)
1. Adding their cubes
2. Multiplication
3. The arithmetical cabby
4. The ten barrels
5. Find the triangle area
6. A digital difficulty
7. The archery match
8. Target practice
9. The nine barrels
10. Upside-down year
11. A twisted number
12. Unusual number
Chapter 4. Practical puzzles
1. Secret letter to the parents
2. Ambiguous dates
3. One landlord and 100 servants
4. Consecutive numbers (
pdf)
(
tex)
5. Colouring Dracula’s land in red (
pdf) (
tex)
6. Golomb ruler (
pdf) (
tex)
7. Two cube calendar
8. How many routes? (
pdf) (
tex)
9. Going to church (
pdf) (
tex)
10. Buying wine (
pdf) (
tex)
11. Railway routes
12. The stolen balsam
Chapter 5. Ladies and tigers
1. Ladies and tigers (
pdf) (
tex) (
resolution)
2. Ladies and tigers reloaded
3. Ladies only
4. Ladies are honest but tigers are liars
5. Ladies are honest in some rooms only
6. The lady is on the other room
7. Better choosing the other room
8. Mixed messages on doors
9. A lady and two tigers
10. A lady and two tigers
11. A lady, two tigers, and other messages
12. A logic labyrinth
Chapter 6. Einstein puzzles
1. The magisterial bench
2. Five ships in a port
3. Ladies in the committee
4. Cocktail party
5. Borrowed books
6. Baseball coach dilemma
7. Perfect man
8. Four bikers
9. Movies night
10. Secret Santa
11. Seating the party
12. Passengers in a railroad compartment
Chapter 7. Island of truth
1. We are both knaves (
pdf)
(
tex)
2. At least one of us is a knave
3. Either I am a knave or B is a knight
4. We are both the same
5. Three inhabitants and two messages .
6. Three inhabitants and not enough information
7. Three inhabitants and two of the same type
8. Jim, Jon, and Joe
9. A spy appears (
pdf)
(
tex)
10. Who is the spy?
11. The whole truth and nothing but the truth
12. Three goddesses
Chapter 8. Love and marriage
1. Looking at unmarried people
2. Married people do not lie
3. Minos and aminos: we are both married
4. Minos and aminos: we are both married or both unmarried
5. Marriage in company
6. What is my relationship to Teresa?
7. Who is Helen's husband?
8. Arranged royal marrage
9. Two single persons at the end of the row
10. Five couples
11. A family tree
12. Uncles and aunts
Chapter 9. Grid puzzles
1. A five in the middle
2. Roses, shamrocks and thistles
3. Nine squares
4. Latin square (
pdf)
(
tex)
5. Magic square
6. Magic five-pointed star
7. Fort Garrisons
8. Three in a row
9. Star battle
10. Start battle reloaded
11. Fancy queens (
pdf)
(
tex)
12. Playing minesweeper (
pdf)
(
tex)
Chapter 10. Japanese puzzles
1. Killer Sudoku (
pdf) (
tex)
2. Futoshiki
3. Kaos Sudoku
4. Kakurasu
5. Takuzo
6. Kakuro
7. Daily neighbours
8. Kendoku
9. Magic labyrinth
10. Stars and arrows
11. Tents and trees
12. Sun and moon
Chapter 11. Russian puzzles
1. Young communist arranging flags
2. Keep it even
3. Magic triangle
4. From 1 to 19
5. A duel in arithmetic
6. Twenty
7. Order the numbers
8. A mysterious box
9. The courageous garrison (
pdf) (
tex)
10. A grouping of integers 1 to 15
11. A star
12. The hexagon
Chapter 12. Polyomino puzzles
1. Broken chess row
2. A simple polyomino
3. Rotating polyomino (
pdf)
(
tex)
4. Fixed Ten-Yen
5. Rotating Ten-Yen
6. A 4 × 5 pentomino
7. The twelve pentominoes
8. Importing six pentominoes
9. Importing other six pentominoes
10. Twelve pentominoes on a chessboard
11. Five tetrominoes on a strange shape
12. Broken chess
Chapter 13. Self-reference and other
puzzles
1. Tricky messages
2. Not so tricky messages
3. Six tricky messages
4. Which hand?
5. An ornament for a window
6. At the brook
7. A car tour
8. A diamond ring
9. Drinker paradox
10. Ten sentences (
pdf)
(
tex)
11. Ten relaxed sentences
12. Self-counting sentences