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Generating Abstraction Hierarchies : An Automated Approach to Reducing Search in Planning :  An Automated Approach to Reducing Search in Planning - Craig A. Knoblock

Generating Abstraction Hierarchies : An Automated Approach to Reducing Search in Planning

An Automated Approach to Reducing Search in Planning

Hardcover Published: 15th January 1993
ISBN: 9780792393108
Number Of Pages: 168

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Generating Abstraction Hierarchies presents a completely automated approach to generating abstractions for problem solving. The abstractions are generated using a tractable, domain-independent algorithm whose only inputs are the definition of a problem space and the problem to be solved and whose output is an abstraction hierarchy that is tailored to the particular problem. The algorithm generates abstraction hierarchies that satisfy the ordered monotonicity' property, which guarantees that the structure of an abstract solution is not changed in the process of refining it. An abstraction hierarchy with this property allows a problem to be decomposed such that the solution in an abstract space can be held invariant while the remaining parts of a problem are solved. The algorithm for generating abstractions is implemented in a system called ALPINE, which generates abstractions for a hierarchical version of the PRODIGY problem solver. Generating Abstraction Hierarchies formally defines this hierarchical problem solving method, shows that under certain assumptions this method can reduce the size of a search space from exponential to linea

` ... it is well-structured, and the material is presented logically, and in correct order; all the conclusions are convincing. ... The list of bibliography (97 entries) is also worth mentioning. I must confess that having read the book I understood my own way of thinking while solving problems better than before. This book can be recommended not only to the specialists working in automatic problem solving; it would be useful for engineers who want to improve their understanding of themselves and the world around them. ... ' Engineering Applications Artificial Intelligence, 7:3 (1994) 'I would go so far as to describe it as a beautiful book... I recommend the volume to anyone doing research in the area, or to anyone who might wish to apply the technology.' The Australian Computer Journal 26:1 1994 'This book can be recommended not only to the specialists working in automatic problem solving; is would be useful for engineers who want to improve their understanding of themselves and the world around them.' Eng. App. of Artificial Intelligence 7:3 1994

Introductionp. 1
Problem Solvingp. 2
Hierarchical Problem Solvingp. 3
Generating Abstraction Hierarchiesp. 4
Closely Related Workp. 6
Contributionsp. 8
Outlinep. 9
Problem Solvingp. 11
Definition of Problem Solvingp. 12
Tower of Hanoi Examplep. 13
Problem Solving in PRODIGYp. 16
Hierarchical Problem Solvingp. 23
Abstraction Hierarchiesp. 24
Hierarchical Problem Solvingp. 28
Analysis of the Search Reductionp. 37
Tower of Hanoi Examplep. 41
Hierarchical Problem Solving in PRODIGYp. 45
Generating Abstractionsp. 53
Properties of Abstraction Hierarchiesp. 53
Generating Abstraction Hierarchiesp. 63
Tower of Hanoi Examplep. 68
Generating Abstractions in ALPINEp. 73
Empirical Resultsp. 85
Search Reduction: Theory vs. Practicep. 85
Empirical Results for ALPINEp. 88
Comparison of ALPINE and EBLp. 99
Comparison of ALPINE and ABSTRIPSp. 101
Related Workp. 107
Using Abstractions for Problem Solvingp. 107
Generating Abstractions for Problem Solvingp. 111
Properties of Abstractionsp. 116
Conclusionp. 119
Theory of Abstractionp. 119
Generating Abstractionsp. 120
Using Abstractionsp. 124
A: Tower of Hanoip. 133
B: Extended STRIPS Domainp. 137
C: Machine-Shop Planning and Schedulingp. 143
D: STRIPS Robot Planning Domainp. 149
Bibliographyp. 155
Indexp. 165
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792393108
ISBN-10: 0792393104
Series: The Springer International Series in Engineering and Computer Science
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 168
Published: 15th January 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 1.27
Weight (kg): 0.45