Математическая логика
Математика
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Nienhuys-Cheng S.-H., de Wolf R. Foundations of Inductive Logic Programming
Издательство Springer, 1997, -248 pp.

One of the most interesting recent developments within the field of automated deduction is inductive logic programming, an area that combines logic programming with machine leaing. Within a short time this area has grown to an impressive field, rich in spectacular applications and full of techniques calling for new theoretical insights.
This is the first book that provides a systematic introduction to the theoretical foundations of this area. It is a most welcome addition to the literature conceing leaing, resolution, and logic programming.
The authors offer in this book a solid, scholarly presentation of the subject. By starting their presentation with a self-contained account of the resolution method and of the foundations of logic programming they enable the reader to place the theory of inductive logic programming in the right historical and mathematical perspective. By presenting in detail the theoretical aspects of all components of inductive logic programming they make it clear that this field has grown into an important area of theoretical computer science.
The presentation given by the authors also allows us to reevaluate the role of some, until now, isolated results in the field of resolution and yields an interesting novel framework that sheds new light on the use of first-order logic in computer science.
I would like to take this opportunity to congratulate the authors on the outcome of their work. I am sure this book will have an impact on the future of inductive logic programming.

Part I Logic
Propositional Logic
First-Order Logic
Normal Forms and Herbrand Models
Resolution
Subsumption Theorem and Refutation Completeness
Linear and Input Resolution
SLD-Reso!ution
SLDNF-Resolution
Part II Inductive Logic Programming
What Is Inductive Logic Programming?
The Framework for Model Inference
Inverse Resolution
Unfolding
The Lattice and Cover Structure of Atoms
Subsumption Order
Implication Order
Background Knowledge
Refinement Operators
PAC Leaing
Further Topics
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