The Resolution Calculus
Language: English
Published by Springer, 2011
Series: Book 4 of 45 - Texts in Theoretical Computer Science. An EATCS
- Softcover
- New

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pp. 316.
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- Title
- The Resolution Calculus
- Author
- Alexander Leitsch
- Publisher
- Springer
- Publication year
- 2011
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3642644732
- ISBN 13
- 9783642644733
- Series
- Book 4 of 45: Texts in Theoretical Computer Science. An EATCS
This is a completely new presentation of resolution as a logical calculus and as a basis for computational algorithms and decision procedures. The book deals with the traditional topics in new ways and gives a systematic treatment of recent research topics. It should become a standard reference.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This is a completely new presentation of resolution as a logical calculus and as a basis for computational algorithms and decision procedures.
The first part deals with the traditional topics (Herbrand's theorem, completeness of resolution, refinements and deletion) but with many new features and concepts like normalization of clauses, resolution operators, and search complexity.
Building on this foundation, the second part gives a systematic treatment of recent research topics. It is shown how resolution decision procedures can be applied to solve the decision problem for some important first-order classes. The complexity of resolution is analyzed in terms of Herbrand complexity, and new concepts like ground projection are used to classify the complexity of refinements. Finally, the method of functional extension is introduced; combined with resolution it gives a computational calculus which is stronger than most others.
The first part deals with the traditional topics (Herbrand's theorem, completeness of resolution, refinements and deletion) but with many new features and concepts like normalization of clauses, resolution operators, and search complexity.
Building on this foundation, the second part gives a systematic treatment of recent research topics. It is shown how resolution decision procedures can be applied to solve the decision problem for some important first-order classes. The complexity of resolution is analyzed in terms of Herbrand complexity, and new concepts like ground projection are used to classify the complexity of refinements. Finally, the method of functional extension is introduced; combined with resolution it gives a computational calculus which is stronger than most others.
"About the title" may belong to another edition of this title.
Books Puddle
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