Strong induction assumes all earlier cases up to n are true to prove the next case.
What Is Strong Induction?
Strong induction assumes all earlier cases up to n are true to prove the next case.
Examples of Strong Induction
1
It can prove every integer >1 factors into primes.Formula and Key Points
Formula / rule
Assume P(1)…P(n) ⇒ prove P(n+1)
- Know the definition and standard notation for Strong Induction.
- Be able to recognise or compute strong induction 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 algorithm proofs, counting, recurrence analysis, data structures and theoretical computer science.
Related Math Terms
Strong Induction: Frequently Asked Questions
What is Strong Induction?
Strong induction assumes all earlier cases up to n are true to prove the next case.
Why is Strong Induction useful in computer science?
Used in algorithm proofs, counting, recurrence analysis, data structures and theoretical computer science.