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By Judith L. Gersting
Judith Gersting's Mathematical constructions for laptop technological know-how has lengthy been acclaimed for its transparent presentation of crucial techniques and its extraordinary variety of functions appropriate to desktop technology majors. Now with this re-creation, it's the first discrete arithmetic textbook revised to satisfy the proposed new ACM/IEEE criteria for the path.
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Extra resources for Mathematical Structures for Computer Science (7th Edition)
Example text
The validity of the argument is a function only of its logical form and has nothing to do with the actual truth of any of its components. We still have no idea about whether the diary is really missing. Furthermore, the argument “Skooses are pink, but if Gingoos does not like perskees, then skooses are not pink; therefore Gingoos does like perskees,” which has the same logical form, is also valid, even though it does not make sense. Practice 14 Use propositional logic to prove that the following argument is valid.
Healthy hair is a necessary condition for good shampoo. 7. Common English has many ways to describe logical connectives. Write a wff for each of the following expressions. Neither A nor B 8. Common English has many ways to describe logical connectives. Write a wff for each of the following expressions. a. B whenever A c. A indicates B b. A is derived from B d. A exactly when B 9. Several forms of negation are given for each of the following statements. Which are correct? a. The answer is either 2 or 3.
Truth values for compound statements are determined as follows. A′ has the truth value 1 − A. A ` B has the truth value that is the minimum of the values of A and of B. A ~ B has the truth value that is the maximum of the values of A and B. a. Explain why these are reasonable assignments for the truth values of A′, A ` B, and A ~ B. 12. Find the truth values of the following statements. b. Runway conditions are not icy. c. Runway conditions are icy and flight 237 is on time. d. Runway conditions are icy or flight 237 is not on time.