2.2 a. Translate the following statements into predicate logic and explain yo...
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2.2
a. Translate the following statements into predicate logic and explain your translation process:1. All students who study hard pass the exam.2. Some students do not like mathematics.3. Every teacher teaches at least one subject.In your answer, clearly define the domain, predicates, and quantifiers used.Also, discuss the importance of correct formalization in predicate logic.(10 Marks)
b. Translate the following predicate logic expressions into clear natural language statements:1. ∀x(Human(x)→Mortal(x))2. ∃x(Cat(x)∧Black(x))3. ¬∃x(Student(x)∧Tall(x))Then explain the meaning of each sentence and how negations and quantifiers are interpreted in natural language. (10 Marks)
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