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sachin10101998 committed Aug 5, 2019
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<div id="hiddden">

The goals we have considered so far all ask the planner to make the
world satisfy the goal at just one time step. Not all goals can be
expressed this way: you do not achieve the goal of suspending a
chandelier above the ground by throwing it in the air. More seriously,
you wouldn’t want your spacecraft life-support system to supply oxygen
one day but not the next. A <i>maintenance goal</i> is achieved
when the agent’s plan causes a condition to hold continuously from a
given state onward. Describe how to extend the formalism of this chapter
to support maintenance goals.
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<div id="hiddden">

In the blocks world we were forced to introduce two action schemas,
${Move}$ and ${MoveToTable}$, in order to maintain the ${Clear}$
predicate properly. Show how conditional effects can be used to
represent both of these cases with a single action.
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<div id="hiddden">

Conditional effects were illustrated for the
${Suck}$ action in the vacuum world—which square becomes clean depends
on which square the robot is in. Can you think of a new set of
propositional variables to define states of the vacuum world, such that
${Suck}$ has an <i>unconditional</i> description? Write out
the descriptions of ${Suck}$, ${Left}$, and ${Right}$, using your
propositions, and demonstrate that they suffice to describe all possible
states of the world.
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<div id="hiddden">

Find a suitably dirty carpet, free of obstacles, and vacuum it. Draw the
path taken by the vacuum cleaner as accurately as you can. Explain it,
with reference to the forms of planning discussed in this chapter.
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<div id="hiddden">

The following quotes are from the backs of shampoo bottles. Identify
each as an unconditional, conditional, or execution-monitoring plan. (a)
“Lather. Rinse. Repeat.” (b) “Apply shampoo to scalp and let it remain
for several minutes. Rinse and repeat if necessary.” (c) “See a doctor
if problems persist.”
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Consider the following problem: A patient arrives at the doctor’s office
with symptoms that could have been caused either by dehydration or by
disease $D$ (but not both). There are two possible actions: ${Drink}$,
which unconditionally cures dehydration, and ${Medicate}$, which cures
disease $D$ but has an undesirable side effect if taken when the patient
is dehydrated. Write the problem description, and diagram a sensorless
plan that solves the problem, enumerating all relevant possible worlds.
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To the medication problem in the previous exercise, add a ${Test}$
action that has the conditional effect ${CultureGrowth}$ when
${Disease}$ is true and in any case has the perceptual effect
${Known}({CultureGrowth})$. Diagram a conditional plan that solves
the problem and minimizes the use of the ${Medicate}$ action.
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You have a number of trucks with which to deliver a set of packages.
Each package starts at some location on a grid map, and has a
destination somewhere else. Each truck is directly controlled by moving
forward and turning. Construct a hierarchy of high-level actions for
this problem. What knowledge about the solution does your hierarchy
encode?
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Suppose that a high-level action has exactly one
implementation as a sequence of primitive actions. Give an algorithm for
computing its preconditions and effects, given the complete refinement
hierarchy and schemas for the primitive actions.
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Suppose that the optimistic reachable set of a high-level plan is a
superset of the goal set; can anything be concluded about whether the
plan achieves the goal? What if the pessimistic reachable set doesn’t
intersect the goal set? Explain.
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<div id="hiddden">[Exercise 11.5 \[HLA-progression-exercise\]](ex_5/)

Write an algorithm that takes an initial
state (specified by a set of propositional literals) and a sequence of
HLAs (each defined by preconditions and angelic specifications of
optimistic and pessimistic reachable sets) and computes optimistic and
pessimistic descriptions of the reachable set of the sequence.
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