Solving the Wolf, Goat, and Cabbage Problem Using a Finite State Machine

The classic logic puzzle of transporting a wolf, a goat, and a cabbage across a river is often used to demonstrate algorithmic approaches. In this article, the author proposes formalizing the solution to this puzzle using finite state machine theory. The problem's conditions impose strict constraints: the boat holds only the farmer and one item, and certain pairs of objects cannot be left unattended due to the risk of being eaten. The author translates these rules into a language of states and transitions, providing a clear visualization of the process for finding a safe path. Using a finite state machine turns an intuitive solution into a rigorous mathematical algorithm that eliminates errors. This approach clearly demonstrates how abstract computer science concepts can be applied to everyday tasks, simplifying the search for an optimal solution under limited resources and defined safety rules.