The most simplified form of the proposition NOT[LP AND (NOT(NOT p OR q))] OR (p AND q)] OR q is O a. q->p O b. p->q O c. None of the Given Choices ○ d. p AND q O e. p OR q
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Question 5
![The most simplified form of the proposition
NOT[LP AND (NOT(NOT p OR q))] OR (p AND q)] OR q
is
O a. q->p
O b. p->q
O c. None of the Given Choices
○ d. p AND q
O e. p OR q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3be9fc5-49dc-4987-93dc-30b0d6519ab7%2Fe3d16e9b-12fb-4133-ad56-5a8c2b0e232c%2F7h3b2hw_processed.png&w=3840&q=75)
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- 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)).If p=F, q = T, r = F, give the truth value for: ~(p ∧ q) Use ~ for negation.1 Let . Let p and q be the propositions “The election is decided” and “The votes have been counted,” respectively. Express each of these compound propositions as an English sentence. A. ¬p → ¬qB. p ∧ qC. ¬p ∨ qD. ¬p ∧ (p ∨ ¬q)E. p ↔ ¬qF. ¬p → ¬q
- Note that for this question, you can in addition use ``land'' for the symbol ∧ ``lor'' for the symbol ∨ ``lnot'' for the symbol ¬. Given the following three sentences:A) Every mathematician is married to an engineer.B) A bachelor is not married to anyone.C) If George is a mathematician, then he is not a bachelor. a) Convert A,B,C into three FOL sentences, whereMn(x): x is a mathematician.Er(x): x is an engineer.Md(x,y): x is married to y.Br(x): x is a bachelor.george: George is a constant. b) Show that A does-not-entail C. (Hint: Consider defining an interpretation I such that I models A, but does-not-model C.)c) Show that {A,B} entails C. (Hint: For a given interpretation I, consider two difference cases, the case where Mn(george) is true, and the case Mn(george) is false. For both cases, argue that it is always that I models C).d) Convert A,B, lnot C into a set of clausal forms, number your clauses. (Note that C is negated here!) e) Derive the empty clause from the set of clauses…Sentential Logic Translation (It is mandatory to use the Letters given in the following questions; do NOT choose other Letters): If neither inflation (I) nor unemployment (U) continues at their current low rates, then there will be recession (R) if and only if stock prices (S) do not drop dramatically and either heating oil (H) or gasoline prices (G) continues to rise. Any ONE (i.e., only ONE) of my three children [Peter, John, Mary] is telling the truth. (P, J, M)The expression-F p is: a. Contingency O b. Tautalogy O c. Unsatisfiable O d. Contradiction
- Suppose P and Q are the statements: P: Jack passed math. Q: Jill passed math. (a) Translate “Jack and Jill both passed math” into symbols. (b) Translate “If Jack passed math, then Jill did not” into symbols. (c) Translate “P ∨ Q” into English. (d) Translate “¬(P ∧ Q) → Q” into English.The Martian language can be written in the familiar Roman alphabet, which has 21 consonants (B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y, Z) and 5 vowels (A, E, I, O, U). All Martian nouns begin with a consonant, followed by one or more vowel-consonant pairs. However, no consonant can appear more than once in a single noun, and no vowel can appear more than once in a single noun. For example, VUX, DIYOK, and ZOBALUT are possible Martian nouns, but X, VUV, DIYIK, and ZEZELAL are not. How many Martian nouns are possible? Your answer must be a number. Briefly explain your answer.The Martian language can be written in the familiar Roman alphabet, which has 21 consonants (B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y, Z) and 5 vowels (A, E, I, O, U). All Martian nouns begin with a consonant, followed by one or more vowel-consonant pairs. However, no consonant can appear more than once in a single noun, and no vowel can appear more than once in a single noun. For example, VUX, DIYOK, and ZOBALUT are possible Martian nouns, but X, VUV, DIYIK, and ZEZELAL are not. Recent expeditions to Mars have cast doubt on whether the Martian language can be written with exactly 21 consonants and 5 vowels. Suppose that Martian requires c consonants and v vowels, where c > 0, v > 0, and c > v. Express the number of possible Martian nouns in terms of c and v. Your answer need not be in closed form.
- If a, b, and c are the three sides of a triangle, then its area is, Area = √[s(s-a)(s-b)(s-c)]Here, "s" is the semi-perimeter of the triangle, i.e., s = (a + b + c)/2. However to be a validtriangle “the summation of any two sides should be greater than the third side.”i) Now Design a Class Triangle with a method checkValid() that returns true if it satisfies the criteria of a valid triangle.ii) Write down a method throwException() that uses the checkValid() and throws OwnException as described below.iii) Your own Exception class OwnException will throw an Exception if the valid triangle criteria is not satisfied with the information of “Not a real triangle” with the values of three sides.iv) A triangle object can be only instantiated with the value of three sides if it is a valid triangle otherwise an exception will be thrown. Similarly changing the sides of a triangle is possible if it satisfies the above criteria otherwise an exception will be thrown.v) In the Driver Class gets the…Translate the English sentence to propositional logic. a) Every student majoring in Cumputer science need to visit the science museum b) Use the De Morgan’s law to find the negation of “Some students has visited the science museum.”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…
