Definition:Second Principle of Mathematical Induction/Also known as

Also known as
Some sources refer to the principle of complete induction as the second principle of mathematical induction, in counterpoint to the (first) principle of mathematical induction.

Others use the principle of strong induction, in counterpoint to the principle of weak induction

However, note that these names are misleading, as both principles are equivalent, and so neither is weaker or stronger than the other.

Some sources call it course-of-values induction, but this is possibly idiosyncratic.

The abbreviation PCI is often seen.

The process of demonstrating a proof by means of the principle of complete induction is often referred to as proof by complete induction.