12.1 Construct a truth table for the following Boolean expressions: а. АВС + A ВС" b. ABC+ABC +AB C с.А (ВС+ ВС)
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- 4. ~(~C ≡ ~A) ѵ [(B ѵ C) • X] a) Replace each statement with the given assigned truth-values and rewrite the problem with the assigned truth-values ~(~t ≡ ~t) ѵ [(t ѵ t) • f] b) Using the truth-table, solve for the truth-value of the compound statement1) Write the Regular Expression of the following languages, where Σ= {x,y}i. {w | each x in w is followed by at least 3 y}ii. {w | w contains exactly three y and ends with x}Q 3.I] Write a Java program to read the length and breadth using console and find the area of the rectangle. If the area is greater than 5oo then find the Perimeter of the rectangle. Area of rectangle=length∗breadth Perimeter of the rectangle=2∗(length breadth)
- 10. Given the following languages, construct regular expressions describing both of them. (a) The language of binary strings with an even number of runs. (A run is a sequence of the same character appearing consecutively i.e. 1110100 has 4 runs (111, 0, 1, 00). Another example is given the empty string, 10, 01, 1110100, and 00101 are in the language, while 1, 0, 00110, 111, and 11001 are not. (b) The language of binary strings with at most three 0s.2.18 Most programming languages now use the free format pioneered by Algol60, in which state- ments can begin anywhere, but must end, not with the end of a line of text, but with an explicit end symbol, such as a semicolon. By contrast, Python and a few other languages use fixed format, in which statements begin in a particular column and end at the end of the line of code, unless continuation marks are provided. Discuss the effect of fixed or free format on readability, writability, and security.1. Compute the weakest preconditions of the following statements for the given postconditions. Assume all variables are integers. (a) a = 2*b + 1; b = a*a + 1; { a > 10 } (b) if (b > 0) a = 4*b - 10; else a = b + 172; {a>0}
- Q11. Construct a truth table for the statements belowa. (p ∧ q) ∧ (~r ∨ q).b. ~[~p ∧ (q ∧ r)]c. [p ∧ (q ∨ ~p)] → ~p then find the truth value of the statement givena. p is a false statement, q is a true statement and r is a true statement.b. p is a false statement, q is a false statement and r is a false statement.c. p is a false statement, q is a false statement and r is a true statement.?** **** Exercise: 3 stars, standard (swap_exercise) Write an Imp program [c] that swaps the values of [X] and [Y] and show that it satisfies the following specification: {{X <= Y}} c {{Y <= X}} Your proof should not need to use [unfold valid_hoare_triple]. Hints: - Remember that Imp commands need to be enclosed in <{...}> brackets. - Remember that the assignment rule works best when it's applied "back to front," from the postcondition to the precondition. So your proof will want to start at the end and work back to the beginning of your program. - Remember that [eapply] is your friend.) *) Definition swap_program : com (* REPLACE THIS LINE WITH ":= _your_definition_ ." *). Admitted. Theorem swap_exercise : {{X <= Y}} swap_program {{Y <= X}}.Proof. (* FILL IN HERE *) Admitted.(** [] *)From the book software Foundations Volume 2 coq proofComputer Science Given the following declaration and assignment: declare X X=midtermexam(mcq:[d b c a b] q1:[a [b [c]]] q2:q3(q4 q5 [a b [e c]])) How much is X.q1.2.1.2? What are the expressions related to X that will display e, q3, and 3? Programm in OZ
- 1. Write a Python regex pattern that matches a valid email address, assuming that an email address consists of a username, followed by the "@" symbol, followed by a domain name, which in turn consists of one or more subdomains separated by dots, and ending with a top-level domain (e.g., .com, .org, .edu, etc.). 2. Using the re.findall() function in Python, write a Python code snippet that takes the text string and the regex pattern from Q4 and returns a list of all the email addresses found in the string. 3. Suppose you want to modify the regex pattern from Q4 to also match email addresses that contain hyphens ("-") in the username and/or domain name. What changes would you make to the pattern, and why? 4. Using the modified regex pattern from Q6, write a Python code snippet that takes the text string and the modified regex pattern, and returns a list of all the email addresses found in the string. Note: You can assume that the text string contains valid email addresses separated by…EXPLAIN: A statement is atomic if it ________________________. a. cannot be combined into a larger statement b. includes a connective c. cannot be divided into smaller statements d. involves natural numbersplz solve all questions 11.Write a lex program to count the number of characters and new lines in the given input text. 12.Write a lex progam to count the number of ‘a’ in the given input text. 13.Write a lex program to print “NUMBER” or “WORD” based on the given input text.