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I am trying to solve part b of the exercise 3.6 (page 113) from the book Artificial Intelligence: A Modern Approach.

More specifically, I need to give a complete problem formulation (that is precise enough to be implemented) for the following problem.

A 3-foot-tall monkey is in a room where some bananas are suspended from the 8-foot ceiling. He would like to get the bananas. The room contains two stackable, movable, climbable 3-foot-high crates.

Give the initial state, goal test, successor function, and cost function for each of the following. Choose a formulation that is precise enough to be implemented.

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    $\begingroup$ This looks like homework. That is not necessarily a problem (unless you are breaking your course's honour system - but that's not an issue for this site, just your own conscience and possibly your grades if it is against the rules and discovered). However, you will learn badly if you go straight to an answer. Putting your thoughts about your solution so far would help you and the person answering. In addition, the question includes the phrase "for each of the following" - but there is nothing following? I suspect there is a list of events in the scenario that you are expected to formalise. $\endgroup$
    – Neil Slater
    Feb 27, 2019 at 11:54

2 Answers 2

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  • Initial state: initial position of the monkey.
  • Possible actions
    • climb on the crate,
    • get down the crate,
    • move the crate from one spot to another,
    • stack one crate on another,
    • walk from one spot to another,
    • grab bananas (if standing on the crate)
  • Goal test: did the monkey get the bananas?
  • Cost function: the number of actions completed
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    $\begingroup$ This is a good start on the answer. If I were grading it, I would want to see a more formal description of some of the actions. This formulation is not precise enough to be implemented because "the crate" is actually one of two crates (which one are we talking about?). It also lacks a definition of "spot" (in a minimal description, you really only care about whether a crate is "directly below the bananas" or not, so that might be a better choice.) $\endgroup$
    – John Doucette
    Nov 12, 2019 at 17:30
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Initial state: The monkey, the suspended bananas, and two cratesin the room

Goal test: Monkey has bananas.

Successor function: To jump on crate; to jump off crate; Push crate from
One spot to another; Walk from one spot to another;Grab bananas (if standing on crate).

Cost function: Number of actions.

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