Which of the following statements are unsatisfiable? Select one or more: a. A- ¬A b. QA -Q O c. Bv ¬B O d. (PA Q)^ (¬P ^ (¬P → ¬Q))
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- Let s1 be " Welcome " and s2 be " welcome ". Write the code for the following statements: (a) Check whether s1 is equal to s2 and assign the result to a Boolean variable isEqual.Can only use boolean opearators and numerical comparisons.Let p be “It is raining" and let q be "It is snowing". Translate each of the following logical expressions into English statements. 1. -p V ¬q 2. рла 3. тр — д 4. р 9 5. -p
- A student makes the following argument. if I receive a good grade, the instructor teaches well. I didn't receive a good grade. Therefore, the instructor didn't teach well. is the student's argument valid? Let A be the statement, "I receive a good grade" and B be the statement, " the instructor teaches well." Then, rewrite the above paragraph using A and B.1. The operator ↑ is complete. In other words, all the three operators -, V and A are representable by using ↑ only.:Q3: Answer the following Determine the value, true or false, of each of the following Boolean expressions, assuming that the value of the variable count is 5 and the value of the variable limit is -1. Give your answer as one of the values true or false. a. (count = ((0 c. (limit/count) > 7) || (limit < 20) IMI r263 LAlas Google la e 1ajall lals Juayl pae
- Which of the following statements is/are correct? I. The language L accepts all the strings of a's and b’s where the third symbol from left end is b. The regular expression for L is (a + b)² b(a+b)*. II. The language L accepts all the strings of a's and b's where the number of a's in a string is divisible by 3. The regular expression for L is (b* ab* ab*ab*)* . III. The regular expression R =(a+b)" . The number of states required to construct the minimal DFA for the regular expression R is n+2. (A) I and II (B) I and III (С) II and III (D) All are correctWhich of the following statements is/are correct? I. The language L accepts all the strings of a's and b's where the third symbol from left end is b. The regular expression for L is (a + b) b(a + b)*. II. The language L accepts all the strings of a's and b's where the number of a's in a string is divisible by 3. The regular expression for L is (b* ab* ab* ab* )*. III. The regular expression R=(a+b)“ . The number of states required to construct the minimal DFA for the regular expression R is n+2. (A) I and II (B) I and III (C) II and III (D) All are correctFind a counterexample for each statement. (a) If n is prime, then 2 - 1 is prime. (Enter an answer where n x. X = (d) For every positive nonprime integer n, if some prime p divides n, then some other prime g (with q = p) also divides n. n =