Concepts Of Programming Languages
Concepts Of Programming Languages
12th Edition
ISBN: 9780134997186
Author: Sebesta, Robert W.
Publisher: Pearson,
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Chapter 3, Problem 16RQ

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Syntactic and semantic domains in denotational semantics:

Denotational semantics is related to definition of a mathematical object and a function that is used to map he instances of language entity (variables) onto instances of mathematical object. As the objects in mathematics are speedily defined, so they are closely related and model the exact meaning of their corresponding entities.

Manipulating mathematical objects and model is easier than making changes in the programming language model constructs...

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Consider the problem of finding a path in the grid shown below from the position S to theposition G. The agent can move on the grid horizontally and vertically, one square at atime (each step has a cost of one). No step may be made into a forbidden crossed area. Inthe case of ties, break it using up, left, right, and down.(a) Draw the search tree in a greedy search. Manhattan distance should be used as theheuristic function. That is, h(n) for any node n is the Manhattan distance from nto G. The Manhattan distance between two points is the distance in the x-directionplus the distance in the y-direction. It corresponds to the distance traveled along citystreets arranged in a grid. For example, the Manhattan distance between G and S is4. What is the path that is found by the greedy search?(b) Draw the search tree in an A∗search. Manhattan distance should be used as the
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