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DISCRETE STRUCTURES:
1.a. Truth value of a propositional statement For this exercise, it is easier not to use truth tables.
1. Suppose that A → ((BAC)-D) is false. What are the truth values of A, B, C, and D?
2. Suppose that (A-B) v (CA (DAE)) → F) is false.
What are the truth values of A, B, C, D, E, and F?
1.b. Logical equivalence Prove the equivalences below without using truth tables. Instead, use the rules of logical equivalence given in class. Justify your reasoning.
1.c. Inference Formalize the following argument and show that it is valid.
If Jose took the jewellery or Mrs. Krasov lied, then a crime was committed. Mr. Krasov was not in town. If a crime was committed, then Mr. Krasov was in town. Therefore Jose did not take the jewellery

1 Answer

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Note: The complete part of question 1b is attached as a file

Answer:

1ai) A = true, B = true, C = true, D = false

Check the attached files for the answers of the remaining parts

Step-by-step explanation:

The detailed solutions of all the sections of the question are contained in the attached files

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