The Alternator Speaks Thrice
Every inhabitant of an island is of exactly one of four kinds: a knight (every statement true), a knave (every statement false), a true-first alternator (statements alternate true, false, true, ...) or a false-first alternator (false, true, false, ...). A stranger makes three statements in this order: 1. "I am not a knave." 2. "I am an alternator." 3. "My first statement was true." What kind of inhabitant is the stranger? Answer with one of: knight, knave, alternator.
Related problems
Source: Original puzzle; alternators are a standard extension of Smullyan's knights and knaves. Statement written for AxiomIQ.