Behavior of A*
• Admissible h never overestimates the cost to reach
the goal (e.g. route finding, sliding tile puzzle)
• h admissible Þ A is called A*
• Monotonicity of f – f doesn’t decrease along a path
• h admissible Þ f monotonic?
• h admissible Þ pathmax equation forces
monotonicity:
f(n’) = max(f(n), g(n’)+h(n’))
• Monotonicity à search contours