Artificial Intelligence: A Modern Approach
Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 7, Problem 3E

a.

Explanation of Solution

Recursive algorithm

  • The language has built-in Boolean operators not,and,or and if.
  • The algorithm is

  function PL-TRUE?(s,m) returns true or false

if s = True then return true

  else if s = False then return false

  else if SYMBOL?(s) then return LOOKUP(s,m)

  else...

b.

Explanation of Solution

Sentences

  • All the sentences can be determined to be true or false...

c.

Explanation of Solution

Truth value

  • A general algorithm for partial models must handle the empty partial model, with no

  assignments...

d.

Explanation of Solution

Modification of algorithm

  • It helps if and and or evaluate their arguments in sequence, terminating on false or true arguments, respectively.
  • In that case, the algorithm already has the desired propertie...

e.

Explanation of Solution

Modified algorithm makes TT-Entails or not

  • Early termination in Boolean operators will provide a very substantial speedup...

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A robot moves in a 2D lattice. The robot can only move north (N), south (S), east (E), and west (W) by a certain number of steps. Assume that the robot always starts at (0,0), and that the x axis is oriented east, while the y axis is oriented north. Write a Python function that, given a set of moves, calculates the final position of the robot. For example, if the set of moves provided as input is: N 2 E 4 S 1 W 3 then the final position of the robot is (1,1). The integer that follows a move is always positive. Follow this code skeleton: def robot_move (moves): X = 0 y = 0 # your code here return (x,y) The moves are provided as an array of tuples. The array can have any number of moves in any order. The example above is passed as input as follows: [('N',2), ('E',4), ('S',1), ('W',3)]
Give a recursive definition for the set of all strings of a’s and b’s that begins with an a and ends in a b. Say, S = { ab, aab, abb, aaab, aabb, abbb, abab..} Let S be the set of all strings of a’s and b’s that begins with a and ends in a b. The recursive definition is as follows – Base:... Recursion: If u ∈ S, then... Restriction: There are no elements of S other than those obtained from the base and recursion of S.
Your main task is to write a recursive function sierpinski() that plots a Sierpinski triangle of order n to standard drawing. Think recursively: sierpinski() should draw one filled equilateral triangle (pointed downwards) and then call itself recursively three times (with an appropriate stopping condition). It should draw 1 filled triangle for n = 1; 4 filled triangles for n = 2; and 13 filled triangles for n = 3; and so forth. Sierpinski.java When writing your program, exercise modular design by organizing it into four functions, as specified in the following API:   public class Sierpinski {     // Height of an equilateral triangle with the specified side length.     public static double height(double length)     // Draws a filled equilateral triangle with the specified side length     // whose bottom vertex is (x, y).     public static void filledTriangle(double x, double y, double length)     // Draws a Sierpinski triangle of order n, such that the largest filled     //…
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