Estimated Distances in A* Search
Let g’(s) be an estimate of g(s) based on the currently known shortest distance from the start state to s.
Let the h’(s) be a heuristic evaluation function that estimates the distance (path length) from s to the nearest goal state.
Let f’(s) = g’(s) + h’(s)
Best-first search using f’(s) as the evaluation function is called A* search.