Practice Rules Of Inferences In Predicate Logic (9.2) - Rules of Inferences in Predicate Logic - part A
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Rules of Inferences in Predicate Logic

Practice - Rules of Inferences in Predicate Logic - 9.2

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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

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

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