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Which algorithm are in more similar to backward chaining algorithm?

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Which algorithm are in more similar to backward chaining algorithm?

(a) Depth-first search algorithm

(b) Breadth-first search algorithm

(c) Hill-climbing search algorithm

(d) All of the mentioned

I got this question in an interview for job.

Question is from Backward Chaining topic in portion Logical Agents of Artificial Intelligence

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The correct answer is (a) Depth-first search algorithm

The best I can explain: It is depth-first search algorithm because its space requirements are linear in the size of the proof.

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