# Question: Prove each of the following statements a Breadth first search

Prove each of the following statements:

a. Breadth-first search is a special case of uniform-cost search.

b. Breadth-first search, depth-first search, and uniform-cost search are special cases of best-first search.

c. Uniform-cost search is a special case of A* search.

a. Breadth-first search is a special case of uniform-cost search.

b. Breadth-first search, depth-first search, and uniform-cost search are special cases of best-first search.

c. Uniform-cost search is a special case of A* search.

## Answer to relevant Questions

Devise a state space in which A* using GRAPH-SEARCH returns a suboptimal solution with an h(n) function that is admissible but inconsistent.We defined the relaxation of the 8-puzzle in which a tile can move from square A to square B if B is blank. The exact solution of this problem defines Gaschnig’s heuristic (Gaschnig, 1979). Explain why Gaschnig’s ...Compare the performance of A and RBFS on a set of randomly generated problems in the 8-puzzle (with Manhattan distance) and TSP (with MST—see Exercise 4.8) domains. Discuss your results. What happens to the performance of ...What is the worst-case complexity of running AC-3 on a tree-structured CSP?Prove that with a positive linear transformation of leaf values (i.e., transforming a value x to ax + b where a > 0), the choice of move remains unchanged in a game tree, even when there are chance nodes.Post your question