## 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 145

A wff X

satisfies X . Thus , it is easy to see that the wif ( Vx ) ( y ) [ P ( x ) VQ ( y ) ]

follows from the set { ( Ux ) y ) { P ( x ) V Q ( y ) ] , ( Vz ) [ R ( 2 ) V Q ( A ) ] } .

A wff X

**logically**follows from a set of wffs S if every interpretation satisfying S alsosatisfies X . Thus , it is easy to see that the wif ( Vx ) ( y ) [ P ( x ) VQ ( y ) ]

**logically**follows from the set { ( Ux ) y ) { P ( x ) V Q ( y ) ] , ( Vz ) [ R ( 2 ) V Q ( A ) ] } .

Page 161

A simple argument can be given to justify the process of proof by refutation .

Suppose a wff , w ,

every interpretation satisfying S also satisfies W . None of the interpretations

satisifying ...

A simple argument can be given to justify the process of proof by refutation .

Suppose a wff , w ,

**logically**follows from a set , S , of wffs ; then , by definition ,every interpretation satisfying S also satisfies W . None of the interpretations

satisifying ...

Page 277

It is a predicate calculus expression that must

state description in order for the F - rule to be applicable to that state description .

Consistent with our restrictions on the form of goal wffs , we assume here that ...

It is a predicate calculus expression that must

**logically**follow from the facts in thestate description in order for the F - rule to be applicable to that state description .

Consistent with our restrictions on the form of goal wffs , we assume here that ...

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### Contents

PRODUCTION SYSTEMS AND AI | 17 |

SEARCH STRATEGIES FOR | 53 |

SEARCH STRATEGIES FOR DECOMPOSABLE | 99 |

Copyright | |

10 other sections not shown

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### Common terms and phrases

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 evaluation example expression F-rule fact Figure formula function given goal 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 search tree selected sequence shown in Figure simple solution graph solve specify statement step STRIPS structure subgoal substitutions successors Suppose symbols termination theorem tree unifying unit University variables