Logic & Boolean Algebra

Contradiction

A contradiction is a logical expression that is false for every possible truth assignment.

Meaning

What Is Contradiction?

A contradiction is a logical expression that is false for every possible truth assignment.

A contradiction is a logical expression that is false for every possible truth assignment.

Examples

Examples of Contradiction

1p ∧ ¬p is a contradiction.
Understand

Formula and Key Points

  • Know the definition and standard notation for Contradiction.
  • Be able to recognise or compute contradiction 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

Contradiction: Frequently Asked Questions

What is Contradiction?

A contradiction is a logical expression that is false for every possible truth assignment.

Why is Contradiction useful in computer science?

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