Introduction to Proofs

An introductory course designed to teach the fundamental concepts and techniques of mathematical proofs.

Practical Applications

Proofs in Computer Science

Logical Foundations of Computing

Computer science relies on proofs to ensure that algorithms work correctly and efficiently.

Algorithm Correctness

Proving that a sorting algorithm always sorts correctly, no matter the input.

Program Verification

Using logic to prove that programs do exactly what they're supposed to, which is crucial in safety-critical systems like airplanes or medical devices.

Everyday Impact

Proofs help keep your data safe, your searches fast, and your devices reliable.

Examples

  • Verifying that a password-checking program only accepts valid passwords.

  • Proving that an encryption algorithm cannot be broken with current technology.