Artificial Intelligence Stack Exchange
Artificial Intelligence Stack Exchange

Questions tagged [completeness]

For questions about the completeness of search algorithms. A search algorithm is complete if it is guaranteed to find one solution (if there is one).

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Why is the completeness of UCS guaranteed only if the cost of every step exceeds some small positive constant?

I was reading Artificial Intelligence: A Modern Approach 3rd Edition, and I have reached to the UCS algorithm. I was reading the proof that UCS is complete. The book state that: Completeness is guaranteed provided the cost of every step exceeds…
Kais Hasan
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How do I construct a state space that shows that Greedy Best First Search is not complete while A* is?

Construct a state space with appropriate heuristics and local costs. Show that Greedy Best First search is not complete for the state space. Also illustrate A* is complete and guarantees solution for the same state space. Here I can not come up…
npsulav
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Are hill climbing variations always optimal and complete?

Are hill climbing variations (like steepest ascent hill climbing, stochastic hill climbing, random restart hill climbing, local beam search) always optimal and complete?
user45792