# Question: Prove that uniform cost search and breadth first search with con

Prove that uniform-cost search and breadth-first search with constant step costs are optimal when used with the GRAPH-SEARCH algorithm. Show a state space with constant step costs in which GRAPH-SEARCH using iterative deepening finds a suboptimal solution.

**View Solution:**## Answer to relevant Questions

Describe a state space iii which iterative deepening search performs much worse than depth-first search (for example. O(n2) vs. O(n)).The heuristic path algorithm is a best-first search in which the objective function is f(n) = (2 – w) g(n) + wh(n). For what values of w is this algorithm guaranteed o be optimal? (You may assume that h is admissible.) ...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 ...Define in your own words the terms constraint satisfaction problem, constraint, backtracking search, arc consistency, back jumping and mm-conflicts.Show how a single ternary constraint such as “A + B = C” can be turned into three binary constraints by using an auxiliary variable. You may assume finite domains. Next, show how constraints with more than three ...Post your question