-
Title:
08-12 Finding A Successful Plan Question
-
Description:
Unit 8 12 Finding a Successful Plan Question
-
Let's say we performed that search.
-
We had a big search tree, and then we threw out
-
all the branches except one, and this branch of the search tree
-
does itself have branches, but this branch of the search tree
-
through the belief state represents a single plan,
-
not multiple possible plans.
-
Now, what I want to know is, for this single plan,
-
what can we guarantee about it?
-
So, say we wanted to know is this plan guaranteed to find the goal
-
in an unbounded number of steps?
-
And what do we need to guarantee that?
-
So, it's an unbounded solution.
-
Do we need to guarantee that
-
some leaf node is a goal?
-
So, for example, here's a plan to go through,
-
and at the bottom, there's a leaf node.
-
Now, if this were in problem solving,
-
then remember, it would be a sequence of steps
-
with no branches in it, and we know it's a solution
-
if the one leaf node is a goal.
-
But for these with branches, do we need to guarantee
-
that some leaf is a goal,
-
or do we need to guarantee
-
that every leaf is a goal,
-
or is there no possible guarantee
-
that will mean that for sure we've got a solution,
-
although the solution may be of unbounded length?
-
Then I also want you to answer
-
what does it take to guarantee
-
that we have a bounded solution?
-
That is, a solution that is guaranteed to reach the goal
-
in a bounded, finite number of steps.
-
Do we need to have a plan that has
-
no branches in it, like this branch?
-
Or a plan that has no loops in it,
-
like this loop that goes back to a previous state?
-
Or is there no guarantee that we have a bounded solution?