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7.12 (Translation) Translate the following English sentences into FOL. Your translations will use all of the propositional connectives. 1. If a is a tetrahedron then

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7.12 (Translation) Translate the following English sentences into FOL. Your translations will use all of the propositional connectives. 1. If a is a tetrahedron then it is in front of d. 2. a is to the left of or right of d only if it's a cube. 3. c is between either a and e or a and d. 4. c is to the right of a, provided it (i.e., c) is small. 5. c is to the right of d only if b is to the right of c and left of e. 6. If e is a tetrahedron, then it's to the right of b if and only if it is also in front of b. 7. If b is a dodecahedron, then if it isn't in front of d then it isn't in back of d either. 8. c is in back of a but in front of e. 9. e is in front of d unless it (i.e., e) is a large tetrahedron. 10. At least one of a, c, and e is a cube. 11. a is a tetrahedron only if it is in front of b. 12. b is larger than both a and e. 13. a and e are both larger than c, but neither is large. 14. d is the same shape as b only if they are the same size. 15. a is large if and only if it's a cube. 16. b is a cube unless c is a tetrahedron. 17. If e isn't a cube, either b or d is large. 18. b or d is a cube if either a or c is a tetrahedron. 19. a is large just in case d is small. 20. a is large just in case e is. Save your list of sentences as Sentences 7.12. Before submitting the file, you should complete Exercise 7.13

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