Practice Rules of Inferences in Predicate Logic - 9.2 | 9. Rules of Inferences in Predicate Logic - part A | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Translate the statement 'All birds can fly' into predicate logic.

💡 Hint: Use a universal quantifier for 'all birds'.

Question 2

Easy

What does the statement 'Some cats are black' represent in predicate logic?

💡 Hint: Focus on the existence of at least one cat.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the expression ∀x (S(x) → C(x)) mean?

  • All students have studied calculus.
  • Some students have studied calculus.
  • Every student in CS201 has studied calculus.

💡 Hint: Look for keywords like 'every' or 'some' in the options.

Question 2

True or False: The statement ∃x (S(x) ∧ C(x)) implies all students in CS201 have studied calculus.

  • True
  • False

💡 Hint: Consider what 'some' means in this context.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a logical statement that proves: 'If every person has an ID, and John is a person, then John has an ID.'

💡 Hint: Identify the premises clearly and ensure to express implications accurately.

Question 2

Construct a counterexample for the assertion: There are no flying fish.

💡 Hint: Research unique animal behaviors to find realistic examples.

Challenge and get performance evaluation