4. ) From RN 7.2 and the following propositional symbols, construct a KB: "unicorn is mythical" Y I "unicorn is immortal" M "unicorn is mammal" "unicorn is horned" G “unicorn is magical" (a) Translate English sentences to logic. Think of the paragraph as the following sentences: If the unicorn is mythical, then it is immortal. (i) (ii) If the unicorn is not mythical, then it is a mortal mammal. (iii) If the unicorn is either immortal or a mammal, then it is horned. (iv) If the unicorn is horned, then it is magical.

4. ) From RN 7.2 and the following propositional symbols, construct a KB: "unicorn is mythical" Y I "unicorn is immortal" M "unicorn is mammal" "unicorn is horned" G “unicorn is magical" (a) Translate English sentences to logic. Think of the paragraph as the following sentences: If the unicorn is mythical, then it is immortal. (i) (ii) If the unicorn is not mythical, then it is a mortal mammal. (iii) If the unicorn is either immortal or a mammal, then it is horned. (iv) If the unicorn is horned, then it is magical.

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Topic: Propositional Logic Guidelines: - type out the work (do not handwrite) - explain everything in words and in mathematical format - provide the solution in the format asked for the question - don't have grammar mistakes - write in full sentences
Problem 4) Translate the given statement into propositional logic using the propositions provided. (Do not simplify the expressions.) “It is not true that you can go out without a hat only if it is warm and not rainy.” Express your answer in terms ofh: “You can go out without a hat”, w: “It is warm”, andr: “It is rainy”.
1. Explain the difference between first-order logic and propositional logic. 2. The language of first-order logic is based on objects and relations. An example of a first-order logic expression is "squares near the WAMPUS are smelly." What are the objects and relations in that expression? 3. What is an atomic sentence? Give an example. 4. What is the universal quantifier? Write the sentence "All kings are persons" using the universal quantifier and other logic symbols. Hint: To find the logic symbols in blackboard click on fx from the toolbar above and select the symbols tab. 5. What is the existential quantifier? Write the sentence "There is a prime number that is even" using the existential quantifier and other logic symbols.
Mathematical Logic. First-order or predicate logic. For each of the following relations, give a formula that defines it in (N;+,∙). The language has equality and has the parameters ∀,+ and ∙. a) {0} b) {1} c) {〈m,n〉| n is the successor of m in N} d) {〈m,n〉| n<n in N} Please be as clear as possible. Thank you.
3. Formalize the following arguments in L1 providing a suitabledictionary. Make your formalization as detailed as possible. Ifyou find an ambiguity in the argument, explain it to justifyyour choice of formalization. (c) It’s not true that time travel is possible. For if I travelback in time and kill my grandfather, I will be born andunborn. But I will not be born and unborn. And I willtravel back in time and kill my grandfather, provided timetravel is possible.
(a) Is it possible for an argument to be sound and have a false conclusion? Explainyour answer (in one or two sentences).(b) Is it possible for an argument to be invalid and have a true conclusion? Explainyour answer (in one or two sentences).(c) Explain what a tautology is.(d) Explain what semantic entailment is.(e) State the deduction theorem.(f) If A ⊨ B, then A, C ⊨ B. What is this feature of entailment known as?
“Anyone passing his history exams and winning the lottery is happy. But anyone who studies or is lucky can pass all his exams. John did not study but he is lucky. Anyone who is lucky wins the lottery. Is John happy?”(a) [2] Change the sentences to predicate form. (b) [2] Change the predicate statements to clause form.(c) [8] Use binary resolution method with the set of support strategy to prove the conclusion “Is John happy?”.(d) [8] Use binary resolution method with the unit preference strategy to prove the conclusion“Is John happy?”.