Logic & Boolean Algebra

Implication

An implication p → q is false only when p is true and q is false.

Meaning

What Is Implication?

An implication p → q is false only when p is true and q is false.

An implication p → q is false only when p is true and q is false.

Examples

Examples of Implication

1“If n is divisible by 4, then n is even” is an implication.
Understand

Formula and Key Points

Formula / rule
p → q
  • Know the definition and standard notation for Implication.
  • Be able to recognise or compute implication in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used in program conditions, digital circuits, database queries, formal verification, search and decision logic.

FAQ

Implication: Frequently Asked Questions

What is Implication?

An implication p → q is false only when p is true and q is false.

Why is Implication useful in computer science?

Used in program conditions, digital circuits, database queries, formal verification, search and decision logic.