## Principles of Artificial IntelligenceA classic introduction to artificial intelligence intended to bridge the gap between theory and practice, Principles of Artificial Intelligence describes fundamental AI ideas that underlie applications such as natural language processing, automatic programming, robotics, machine vision, automatic theorem proving, and intelligent data retrieval. Rather than focusing on the subject matter of the applications, the book is organized around general computational concepts involving the kinds of data structures used, the types of operations performed on the data structures, and the properties of the control strategies used. Principles of Artificial Intelligenceevolved from the author's courses and seminars at Stanford University and University of Massachusetts, Amherst, and is suitable for text use in a senior or graduate AI course, or for individual study. |

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Page 82

We now show that given a rather mild and reasonable restriction on h , when A * selects a node for expansion it has ... A heuristic function , h , is said to satisfy the

We now show that given a rather mild and reasonable restriction on h , when A * selects a node for expansion it has ... A heuristic function , h , is said to satisfy the

**monotone restriction**if for all nodes ni and n ;, such that n ...Page 83

Using the

Using the

**monotone restriction**, we have that g * ( n ; ) + h ( ni ) s g * ( n ; ) + c ( ni , ni +1 ) + h ( ni +1 ) . Since n ; and ni +1 are on an optimal path g * ( ni +1 ) = g * ( ni ) + c ( ni , ni + 1 ) , therefore 18 * ( ni ) + h ...Page 84

When the

When the

**monotone restriction**is not satisfied , it is possible that some node has a smaller f value at expansion than that of a previously expanded node . We can exploit this observation to improve the efficiency of A * under this ...### What people are saying - Write a review

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achieve actions algorithm AND/OR graph answer applied arcs Artificial Intelligence assume attempt backtracking backward block called chapter clause CLEAR(C complete component condition consider consistent contains control strategy corresponding cost database deduction Deleters described direction discussed efficient evaluation example expression F-rule fact Figure formula function given goal goal node goal stack goal wff HANDEMPTY heuristic important initial involves JOHN knowledge labeled language literals logic match methods move namely node Note obtained occur ONTABLE(A operation path possible precondition predicate calculus problem procedure production system proof prove quantified reasoning refutation represent representation resolution result robot rule satisfied selected sequence shown in Figure simple solution graph solve specify statement step STRIPS structure subgoal substitutions successors Suppose symbols termination theorem unifying unit University variables