Practice - Predicate Logic
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define what a predicate is.
💡 Hint: Think about how statements relate to variables.
What does the universal quantifier '∀x' signify?
💡 Hint: Consider the meaning of 'for all' in logic.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the symbol '∀' represent in predicate logic?
💡 Hint: Consider how we express 'all' in logical statements.
True or False: Existential quantification asserts that all elements are true for a predicate.
💡 Hint: Think about the requirement for 'exist' versus 'all'.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that '∀x (P(x) ∧ Q(x))' is logically equivalent to '∀x P(x) ∧ ∀x Q(x)'.
💡 Hint: Use methods of logical equivalences and quantify simultaneously.
In a domain of natural numbers, evaluate the truth of '∃x (P(x)) → ∀x (Q(x))'. What implications does this carry?
💡 Hint: Consider the implications of assuming P for all x and how it connects to the consequent.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.