CSE355_SP24_mid1sol

L2= {1010 10ª | a ≥ 0} 5. () Using L₂ from the previous problem, is L₂ € Eo? Circle the appropriate answer and justify your answer. YES or NO 6. () Using L₂ from the previous problem, is L₂ E₁? Circle the appropriate answer and justify your answer. YES or NO

12. Simplify the following Boolean function F, together with the don’t-care conditions d :

The set of premises and a conclusion are given. Use the valid argument forms to deduce the conclusion from the premises, giving a reason for each step. Assume all variables are statement variables. a. p>9 b. rVs c. ~s >-t d. ~q Vs C. e. ~S f. ~pAr>u g. w Vt h. uAw

Let p, q, and r represent the following statements: p:  The first ball is red. q:  The second ball is white. r:  The third ball is blue. Which would be the correct English statement for the symbolic form (¬¬p ∧∧ q) →→ r ? Group of answer choices A .If the first ball is red or the second ball is white, then the third ball is blue. B. If the first ball is not red or the second ball is white, then the third ball is blue. C .If the first ball is not red and the second ball is white, then the third ball is blue. D. If the first ball is red and the second ball is white, then the third ball is blue.

Question 37 The correct statements are: If both L and ¬L are in D, then L must be also in SD. If both L and ¬L are in D, then ¬L must be also in SD. If both L and ¬L are in SD, then L must be also in D. If both L and ¬L are in SD, then ¬L must be also in D.

Definition of 3SAT : In the 3SAT problem, the input is a Boolean expression formed by m clause and n variables (each variable x can have a positive literal x and negative literal x). Each clause formed by disjunction of threeliterals and the formula is formed by the conjunction of the m clauses. For example, the following formulais an instance of the 3SAT problem: (x1 ∨ x2 ∨ x3) ∧ (x1 ∨ x2 ∨ x3) ∧ (x1 ∨ x2 ∨ x3), which is formed by 3 variables x1, x2, x3 and three clauses. The objective is to find an assignment of Boolean values to variables to satisfy the formula. In the example above, one possible satisfying assignment is to let x1 to be false and x2, x3 to be true.  Problem : A 2SAT formula is a conjunction of clauses like a 3SAT formula, except that each clause is a disjunction of 2 literals (rather than 3). For example (x1 ∨ x2) ∧ (x2 ∨ x3) ∧ (x3 ∨ x1) is a 2SAT formula.Use consistency model to provide a 2SAT formula consistent with the following labelled data (or specifythat…

No. 2 question only.

Objective: The objective of this discussion is to be aware of the field of logic. Problem Statement: Consider the statement: "There is a person x who is a student in CSEN 5303 and has visited Mexico" Explain why the answer cannot be 3r (S(x)→ M(x)).

Please answer with explanations.

Quadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…

1. Suppose that a bank only permits passwords that are strings from the alphabets = {a,b.c, d, 1, 2, 3, 4). The passwords follow the rules (a) The length can be 5 or more. (b) The first alphabet must be from {a,b,c,d}. (c) The last two alphabets must be from {1,2,3,4} Give a regular expression for this language.

help me to solve the problem

Solve in C# please.. Kinly provide correct solution Objective In this problem, you need to find the maximum number of cities that Jeff can visit on his way from West to East. As Jeff travels from West to East, he has two rules: He can only travel to cities in lexicographic order (e.g. Jeff cannot travel from Berkeley to Albany nor can he travel from City2 to City100). He can only travel to cities that are further from the West than the city he is currently at (e.g. if Jeff is at Berkeley, he cannot travel to cities that are closer to the West than Berkeley).   Implementation Implement the method MaxCities(cities, distances) which returns the maximum number of cities that Jeff can visit. The first input argument, cities, is an array of strings representing the city names. For example: ['Tucson', 'Albany', 'Smith', 'Westford', 'Berkeley'] The second input argument, distances, is an array of integers representing the distances from the West point to the cities. Each distance is unique…

Click and drag the appropriate word, symbol, or phrase into the most appropriate blank. Let P(x) be the statement "x can speak Russian" and let Q(x) be the statement "x knows the computer language C+t." Consider the statement, "Every student at your school either can speak Russian, or knows C+." This statement is k(n) beginning of the symbolic statement is statement, because of the word, "every." So, the appropriate quantifier to be applied at the .We want this symbol to act on x, representing a student at your school. The universal statement may be rewritten for clarity's sake as, "Every student at your school speaks Russian or every student at your school knows C++." The phrases, "student at your school speaks Russian" and "student at your school knows C++" are directly symbolized by respectively. Finally, the word "or" requires the statement to employ the . Hence, the completed quantified statement is Q(X) and P(x) P(x) and Q(x) universal VX(P(x)vQ(x)) 3X(P(X)AQ(x)) conditional…

Refer to the following statement to answer parts (a) through (c) below, The professor is intelligent and an overachiever, or not an overachiever a. Write the statement in symbolic form Assign letters to simple statements that are not negated Choose the correct answer below OA. let p=The professor is intelligent and letq= The professor is not an overachiever, (p A q)v OB. let p= The professor is intelligent and let q= The professor is not an overachiever (p v q) A OC. let p= The professor is intelligent and let q= The professor is an overachiever (p A q) v -q O D. letp=The professor is intelligent and let q= The professor is an overachiever, (p v q) ^ -9 b. Construct a truth table for the symbolic statement in part (a) PAq (pAq) v -q T.

1. Give the unifyiing substitition for (x,y,z are variables):   f(a) f(b) 2.  Give the unifyiing substitition for (x,y,z are variables):   g(x,x) g(f(a),f(y)) 3. Give the unifyiing substitition for (x,y,z are variables):   g(x,x) g(f(a0,f(b))

Please answer all

1. Consider the following statements: P(z, y) = "3r €R such that Vy E R, z = 2y" Q(z, y) = "Vz € R By ER such that z= 2y" Explain the difference between what these two statements are claiming. Which of them is true and which of them is false?

7

Part I. Let p, q, and r be the following simple statements: p: Sydney is the capital of Australia. q: Thirteen is a prime number. r: The Trinity University of Asia is in Quezon City. Express each of the following propositions as an English sentence and determine its truth value. Part II. Use the truth table to determine whether the following pairs of statement are logically equivalent or not . 1. ~(p↑q)and~p↑-q 2. p↓(q↑r)and(p↑q)↓(p↑r)