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Exercises 40-44 deal the translation between system specification and logical expressions involving quantifiers.
40. Translate these system specifications into English, and where the domain forxandyconsists of all systems and all possible states, respectively.
a)
b)
c)
d)
e)
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Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
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- Exercise 6| We introduce a language in which there are: - A constant me which represents the person who speaks, and a constant vegetables which represents the corresponding food; Two symbols of binary relations eat and likes: eat(p, a) represents the property "p eat a" and likes(p, a) the fact that "p likes a ". 1. Give the logical formulas that correspond to the following expressions: (a) I like everything I eat. (b) There are things that I do not like but that I eat anyway. (c) Those who do not like vegetables eat nothing. (d) If everyone agrees to eat something he does not like then I eat vegetables.arrow_forwardWhat is the major operator in the following statement? [(A -> Y) v (B -> ~X)] v ~[(B & ~ X) & (Y v A)] V & ->arrow_forwardCan you answer the last 3 remainding and show all work and explanations please and thank you!arrow_forward
- Which of the following expressions is NOT equivalent to ((Y \ (Z \ Z)) \ (X UY))? (Please note - should you encounter either of these symbols - that A denotes the complement of set A, and AB denotes the difference between sets A and B.) Select one: O a (Z\ (((Y \Y)®)U )) O b.((x)u Z)n X)\Y) c. None of the above O d.(Zn (Y\(YU (XUX)))) \ Z)arrow_forwardLet T(x,y) = "x will take y", S(x) = "x is a CS student", H(y) = "y is a hard course" and P(y) = "y is an elective course" Assume the domain of x is all students and the domain of y is all courses. Select the negation of "Some CS students will not take all elective courses" O 1.All CS students will take some elective courses. O 2. All students will not take all elective courses. O 3. Some CS students will not take some elective courses. O 4. Some CS students will take all elective courses.arrow_forwardExpress constraint 1 to mathematical statement.arrow_forward
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