Suppose the agent has progressed to the point shown in Figure 7.4(a), page 239, having perceived nothing in [1,1], a breeze in [2,1], and a stench in [1,2], and is now concerned with the contents of [1,3], [2,2], and [3,1]. Each of these can contain a pit, and at most one can contain a wumpus. Following the example of Figure 7.5, construct the set of possible worlds. (You should find 32 of them.) Mark the worlds in which the KB is true and those in which each of the following sentences is true: α 2 = “There is no pit in [2,2].” α 3 = “There is a wumpus in [1,3].” Hence show that KB |= α 2 and KB |= α 3 .

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 7, Problem 1E

Suppose the agent has progressed to the point shown in Figure 7.4(a), page 239, having perceived nothing in [1,1], a breeze in [2,1], and a stench in [1,2], and is now concerned with the contents of [1,3], [2,2], and [3,1]. Each of these can contain a pit, and at most one can contain a wumpus. Following the example of Figure 7.5, construct the set of possible worlds. (You should find 32 of them.) Mark the worlds in which the KB is true and those in which

each of the following sentences is true:

α₂ = “There is no pit in [2,2].”

α₃ = “There is a wumpus in [1,3].”

Hence show that KB |= α₂ and KB |= α₃.

Expert Solution & Answer

Explanation of Solution

True statement

There are eight possible combinations in the three squares.
There are four possibilities for the wumpus location.
KB |= α₂ is true because in every line KB is true and also has α₂ true.
This is similar in the case of α₃.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

04:20

Students have asked these similar questions

A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded that: If the handyman is lying, then so is the butler. The gardener and the handyman cannot both be telling the truth. The cook and the gardener are not both lying. The handyman is telling the truth only if the cook is lying.

For (∃ x)(P(x,b)) Would an example of this being true if the domain was all the Avengers and x was green skin, then "b" being the Hulk would make this true. Am example of this being false would be: If the domain was all integers and x was positive, even integers and "b" was integers greater than zero.

Correct answer will be upvoted else downvoted. Computer science. in case there are two planes and a molecule is shot with rot age 3 (towards the right), the cycle is as per the following: (here, D(x) alludes to a solitary molecule with rot age x) the primary plane delivers a D(2) to the left and lets D(3) progress forward to the right; the subsequent plane delivers a D(2) to the left and lets D(3) progress forward to the right; the primary plane lets D(2) forge ahead to the left and creates a D(1) to the right; the subsequent plane lets D(1) progress forward to one side (D(1) can't create any duplicates). Altogether, the last multiset S of particles is {D(3),D(2),D(2),D(1)}. (See notes for visual clarification of this experiment.) Gaurang can't adapt up to the intricacy of the present circumstance when the number of planes is excessively huge. Help Gaurang find the size of the multiset S, given n and k. Since the size of the multiset can be extremely huge, you…

Answer 2

Textbook Question

Chapter 7, Problem 1E

Suppose the agent has progressed to the point shown in Figure 7.4(a), page 239, having perceived nothing in [1,1], a breeze in [2,1], and a stench in [1,2], and is now concerned with the contents of [1,3], [2,2], and [3,1]. Each of these can contain a pit, and at most one can contain a wumpus. Following the example of Figure 7.5, construct the set of possible worlds. (You should find 32 of them.) Mark the worlds in which the KB is true and those in which

each of the following sentences is true:

α₂ = “There is no pit in [2,2].”

α₃ = “There is a wumpus in [1,3].”

Hence show that KB |= α₂ and KB |= α₃.

Expert Solution & Answer

Explanation of Solution

True statement

There are eight possible combinations in the three squares.
There are four possibilities for the wumpus location.
KB |= α₂ is true because in every line KB is true and also has α₂ true.
This is similar in the case of α₃.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

04:20

Answer 3

Textbook Question

Chapter 7, Problem 1E

Suppose the agent has progressed to the point shown in Figure 7.4(a), page 239, having perceived nothing in [1,1], a breeze in [2,1], and a stench in [1,2], and is now concerned with the contents of [1,3], [2,2], and [3,1]. Each of these can contain a pit, and at most one can contain a wumpus. Following the example of Figure 7.5, construct the set of possible worlds. (You should find 32 of them.) Mark the worlds in which the KB is true and those in which

each of the following sentences is true:

α₂ = “There is no pit in [2,2].”

α₃ = “There is a wumpus in [1,3].”

Hence show that KB |= α₂ and KB |= α₃.

Expert Solution & Answer

Explanation of Solution

True statement

There are eight possible combinations in the three squares.
There are four possibilities for the wumpus location.
KB |= α₂ is true because in every line KB is true and also has α₂ true.
This is similar in the case of α₃.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

04:20

Answer 4

Textbook Question

Chapter 7, Problem 1E

Suppose the agent has progressed to the point shown in Figure 7.4(a), page 239, having perceived nothing in [1,1], a breeze in [2,1], and a stench in [1,2], and is now concerned with the contents of [1,3], [2,2], and [3,1]. Each of these can contain a pit, and at most one can contain a wumpus. Following the example of Figure 7.5, construct the set of possible worlds. (You should find 32 of them.) Mark the worlds in which the KB is true and those in which

each of the following sentences is true:

α₂ = “There is no pit in [2,2].”

α₃ = “There is a wumpus in [1,3].”

Hence show that KB |= α₂ and KB |= α₃.

Expert Solution & Answer