Two logical expressions are logically equivalent when they have identical truth values for all inputs.
What Is Logical Equivalence?
Two logical expressions are logically equivalent when they have identical truth values for all inputs.
Examples of Logical Equivalence
1
p→q is equivalent to ¬p∨q.Formula and Key Points
Formula / rule
A ≡ B
- Know the definition and standard notation for Logical Equivalence.
- Be able to recognise or compute logical equivalence in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used in program conditions, digital circuits, database queries, formal verification, search and decision logic.
Related Math Terms
Logical Equivalence: Frequently Asked Questions
What is Logical Equivalence?
Two logical expressions are logically equivalent when they have identical truth values for all inputs.
Why is Logical Equivalence useful in computer science?
Used in program conditions, digital circuits, database queries, formal verification, search and decision logic.