Lecture Notes in Computer Science : International Summer School, CCL'99 Gif-sur-Yvette, France, September 5-8, 1999 Revised Lectures - Hubert Comon

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Lecture Notes in Computer Science

International Summer School, CCL'99 Gif-sur-Yvette, France, September 5-8, 1999 Revised Lectures

By: Hubert Comon (Editor), Claude Marche (Editor), Ralf Treinen (Editor)

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Paperback | 18 April 2001

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328 Pages

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Constraints provide a declarative way of representing infinite sets of data. They are well suited for combining different logical or programming paradigms as has been known for constraint logic programming since the 1980s and more recently for functional programming. The use of constraints in automated deduction is more recent and has proved to be very successful, moving the control from the meta-level to the constraints, which are now first-class objects.
This monograph-like book presents six thoroughly reviewed and revised lectures given by leading researchers at the summer school organized by the ESPRIT CCL Working Group in Gif-sur-Yvette, France, in September 1999. The book offers coherently written chapters on constraints and constraint solving, constraint solving on terms, combining constraint solving, constraints and theorem proving, functional and constraint logic programming, and building industrial applications.

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Constraints and Constraint Solving: An Introduction	p. 1
Introduction	p. 1
A First Approach to Constraint Based Calculi	p. 2
A Case Study of a Constraint System: Feature Constraints	p. 18
Programming with Incomplete Constraint Solvers	p. 29
Committed Choice: A More Realistic Approach	p. 33
Constraint Solving on Terms	p. 47
Introduction	p. 47
The Principle of Syntactic Methods	p. 48
Unification Problems	p. 49
Dis-Unification Problems	p. 70
Ordering Constraints	p. 74
Matching Constraints	p. 76
Principles of Automata Based Constraint Solving	p. 78
Presburger Arithmetic and Classical Word Automata	p. 79
Typing Constraints and Tree Automata	p. 84
Set Constraints and Tree Set Automata	p. 88
Examples of Other Constraint Systems Using Tree Automata	p. 91
Combining Constraint Solving	p. 104
Introduction	p. 104
Classification of Constraint Systems and Combination Approaches	p. 105
The Nelson-Oppen Combination Procedure	p. 112
Combination of E-Unification Algorithms	p. 119
The Logical and Algebraic Perspective	p. 129
Generalizations	p. 140
Optimization and Complexity Issues	p. 147
Open Problems	p. 152
Constraints and Theorem Proving	p. 159
Introduction	p. 159
Equality Clauses	p. 160
The Purely Equational Case: Rewriting and Completion	p. 166
Superposition for General Clauses	p. 174
Saturation Procedures	p. 186
Paramodulation with Constrained Clauses	p. 189
Paramodulation with Built-in Equational Theories	p. 192
Effective Saturation of First-Order Theories	p. 194
Functional and Constraint Logic Programming	p. 202
Introduction	p. 202
A Rewriting Logic for Declarative Programming	p. 204
Higher-Order Programming	p. 234
Constraint Programming	p. 252
Conclusions	p. 260
Building Industrial Applications with Constraint Programming	p. 271
Introduction	p. 271
Constraint Programming	p. 272
The CHIP System	p. 278
Application Studies	p. 280
Industrial Applications	p. 280
Case Studies	p. 286
Application Framework	p. 298
Analysis	p. 298
Does CLP Deliver?	p. 301
Limitations	p. 302
Future Trends	p. 303
Conclusions	p. 304
Table of Contents provided by Publisher. All Rights Reserved.

Lecture Notes in Computer Science

International Summer School, CCL'99 Gif-sur-Yvette, France, September 5-8, 1999 Revised Lectures

At a Glance

Paperback

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