Handbook of Automated Reasoning - Vol 2

Volume II

By: Voronkov, A. Robinson

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Hardcover | 21 June 2001

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1188 Pages

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24.13 x 17.15 x 5.08

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6 1/2 X 9 7/16 in Part V. Higher-order logic and logical frameworks.

Chapter 15. Classical Type Theory (Peter B. Andrews).

1. Introduction to type theory.

2. Metath eoretical foundations.

3. Proof search.

4. Conclusion.

Bibliography. Index.

Chapter 16. Higher-Order Unification and Matching (Gilles Dowek) .

1. Type Theory and Other Set Theories.

2. Simply Typed &lgr;-calculus.

3. Undecidab ility.

4. Huet's Algorithm.

5. Scopes Ma nagement.

6. Decidable Subcases.

7. Unif ication in &lgr;-calculus with Dependent Types.

Bibliogr aphy. Index.

Chapter 17. Logical Frameworks (Frank Pfenning).

1. Introduction.

2. Abstract syntax.

3. Judgments and deductions.
4. Meta-programming and proof search.

5. Representing meta-theory.

6. Appendix: the simply-typed

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Science Artificial Intelligence Databases Computer Architecture & Logic Design Philosophy Epistemology & The Theory of Knowledge Computer Programming & Software Development Software Engineering Mathematical Theory of Computation Mathematics

Mathematical Foundation Mathematical Logic Medicine Medicine in General

History
The Early History of Automated Deduction
Presburger's Procedure
Newell, Shaw & Simon, and H. Gelernter
First-Order Logic
Bibliography
Index
Classical Logic
Resolution Theorem Proving
Introduction
Preliminaries
Standard Resolution
A Framework for Saturation-Based Theorem Proving
General Resolution
Basic Resolution Strategies
Refined Techniques for Defining Orderings and Selection Functions
Global Theorem Proving Methods
First-Order Resolution Methods
Effective Saturation of First-Order Theories
Concluding Remarks
Bibliography
Index
Tableaux and Related Methods
Introduction
Preliminaries
The Tableau Method
Clause Tableaux
Tableaux as a Framework
Comparing Calculi
Historical Remarks & Resources
Bibliography
Notation
Index
The Inverse Method
Introduction
Preliminaries
Cooking classical logic
Applying the recipe to nonclassical logics
Naming and connections with resolution
Season your meal: strategies and redundancies
Path calculi
Logics without the contraction rules
Conclusion
Bibliography
Index
Normal Form Transformations
Introduction
Notation and Definitions
On the Concept of Normal Form
Equivalence-Preserving Normal Forms
Skolem Normal Form
Conjunctive Normal Form
Normal Forms in Nonclassical Logics
Conclusion
Bibliography
Index
Computing Small Clause Normal Forms
Introduction
Preliminaries
Standard CNF-Translation
Formula Renaming
Skolemization
Simplification
Bibliographic Notes
Implementation Notes
Bibliography
Index
Equality and other theories
Paramodulation-Based Theorem Proving
About this chapter
Preliminaries
Paramodulation calculi
Saturation procedures
Paramodulation with constrained clauses
Paramodulation with built-in equational theories
Symbolic constraint solving
Extensions
Perspectives
Bibliography
Index
Unification Theory
Introduction
Syntactic unification
Equational unification
Syntactic methods for E-unification
Semantic approaches to E-unification
Combination of unification algorithms
Further topics
Bibliography
Index
Rewriting
Introduction
Terminology
Normal Forms and Validity
Termination Properties
Church-Rosser Properties
Completion
Relativized Rewriting
Equational Theorem Proving
Conditional Rewriting
Programming
Bibliography
Index
Equality Reasoning in Sequent-Based Calculi
Introduction
Translation of logic with equality into logic without equality
Free variable systems
Early history
Simultaneous rigid E-unification
Incomplete procedures for rigid E-unification
Sequent-based calculi and paramodulation
Equality elimination
Equality reasoning in nonclassical logics
Conclusion and open problems
Bibliography
Calculi and inference rules
Index
Automated Reasoning in Geometry
A history review of automated reasoning in geometry
Algebraic approaches to automated reasoning in geometry
Coordinate-free approaches to automated reasoning in geometry
AI approaches to automated reasoning in geometry
Final remarks
Bibliography
Index
Solving Numerical Constraints
Introduction
Linear constraints over fields
Linear diophantine constraints
Non-linear constraints over continuous domains
Non-linear diophantine constraints
Bibliography
Index
Induction
The A
Table of Contents provided by Publisher. All Rights Reserved.

Handbook of Automated Reasoning - Vol 2

Volume II

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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