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Disjunctive Programming

Disjunctive Programming
Author: Egon Balas
Publisher: Springer
Total Pages: 238
Release: 2018-11-27
Genre: Mathematics
ISBN: 3030001482

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Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.


Foundations of Disjunctive Logic Programming

Foundations of Disjunctive Logic Programming
Author: Jorge Lobo
Publisher: MIT Press (MA)
Total Pages: 344
Release: 1992
Genre: Computers
ISBN:

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This monograph provides an intensive course for graduate students in computer science, as well as others interested in extensions of logic programming, on the theoretical foundations of disjunctive logic programming. Disjunctive logic programming permits the description of indefinite or incomplete information through a disjunction of atoms in the head of a clause. The authors describe model theoretic semantics, proof theoretic semantics, and fix point semantics for disjunctive and normal disjunctive programs (a normal disjunctive program permits negated atoms in the body of a clause) and present theories of negation. They conclude with selected applications to knowledge databases. Jorge Lobo is Assistant Professor in Computer Science at the University of Illinois, Chicago Circle. Jack Minker is Professor in the Department of Computer Science and Institute for Advanced Computer Studies at the University of Maryland. Arcot Rajasekar is Assistant Professor in the Computer Science Department at the University of Kentucky. Contents: Introduction and Background. Definitions and Terminology. Declarative Semantics. Proof Theory. Negation. Weak Negation. Normal Logic Programs. Procedural Semantics: Normal Programs. Disjunctive Databases. Applications.


Handbook of Logic in Artificial Intelligence and Logic Programming: Volume 5: Logic Programming

Handbook of Logic in Artificial Intelligence and Logic Programming: Volume 5: Logic Programming
Author: Dov M. Gabbay
Publisher: Clarendon Press
Total Pages: 818
Release: 1998-01-08
Genre: Computers
ISBN: 0191546283

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The Handbook of Logic in Artificial Intelligence and Logic Programming is a multi-volume work covering all major areas of the application of logic to artificial intelligence and logic programming. The authors are chosen on an international basis and are leaders in the fields covered. Volume 5 is the last in this well-regarded series. Logic is now widely recognized as one of the foundational disciplines of computing. It has found applications in virtually all aspects of the subject, from software and hardware engineering to programming languages and artificial intelligence. In response to the growing need for an in-depth survey of these applications the Handbook of Logic in Artificial Intelligence and its companion, the Handbook of Logic in Computer Science have been created. The Handbooks are a combination of authoritative exposition, comprehensive survey, and fundamental research exploring the underlying themes in the various areas. Some mathematical background is assumed, and much of the material will be of interest to logicians and mathematicians. Volume 5 focuses particularly on logic programming. The chapters, which in many cases are of monograph length and scope, emphasize possible unifying themes.


Constraints in Computational Logics. Theory and Applications

Constraints in Computational Logics. Theory and Applications
Author: Hubert Comon
Publisher: Springer Science & Business Media
Total Pages: 321
Release: 2001-04-18
Genre: Computers
ISBN: 3540419500

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Constraints and constraint solving : an introduction / Jean-Pierre Jouannaud / - Constraint solving on terms / Hubert Comon / - Combining constraint solving / Franz Baader / - Constraints and theorem proving / Harald Ganzinger / - Functional and constraint logic programming / Mario Rodríguez-Artalejo / - Building industrial applications with constraint programming / Helmut Simonis.


Logic Programming

Logic Programming
Author: David S. Warren
Publisher: MIT Press
Total Pages: 884
Release: 1993
Genre: Computers
ISBN: 9780262731058

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The Tenth International Conference on Logic Programming, sponsored by the Association for Logic Programming, is a major forum for presentations of research, applications, and implementations in this important area of computer science. Logic programming is one of the most promising steps toward declarative programming and forms the theoretical basis of the programming language Prolog and it svarious extensions. Logic programming is also fundamental to work in artificial intelligence, where it has been used for nonmonotonic and commonsense reasoning, expert systems implementation, deductive databases, and applications such as computer-aided manufacturing.David S. Warren is Professor of Computer Science at the State University of New York, Stony Brook.Topics covered: Theory and Foundations. Programming Methodologies and Tools. Meta and Higher-order Programming. Parallelism. Concurrency. Deductive Databases. Implementations and Architectures. Applications. Artificial Intelligence. Constraints. Partial Deduction. Bottom-Up Evaluation. Compilation Techniques.


Principles of Constraint Programming

Principles of Constraint Programming
Author: Krzysztof Apt
Publisher: Cambridge University Press
Total Pages: 434
Release: 2003-08-28
Genre: Computers
ISBN: 9780521825832

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Upper-division textbook covering foundations of constraint programming and applications to scheduling, optimisation etc.


Constraints in Computational Logics: Theory and Applications

Constraints in Computational Logics: Theory and Applications
Author: Hubert Comon
Publisher: Springer
Total Pages: 321
Release: 2003-08-06
Genre: Computers
ISBN: 3540454063

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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.


Principles and Practice of Constraint Programming

Principles and Practice of Constraint Programming
Author: Vijay Saraswat
Publisher: MIT Press
Total Pages: 504
Release: 1995
Genre: Computers
ISBN: 9780262193610

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Constraint programming aims at supporting a wide range of complex applications, which are often modeled naturally in terms of constraints. Early work, in the 1960s and 1970s, made use of constraints in computer graphics, user interfaces, and artificial intelligence. Such work introduced a declarative component in otherwise-procedural systems to reduce the development effort.


Computational Logic: Logic Programming and Beyond

Computational Logic: Logic Programming and Beyond
Author: A.C. Kakas
Publisher: Springer
Total Pages: 688
Release: 2003-08-02
Genre: Computers
ISBN: 3540456287

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Alan Robinson This set of essays pays tribute to Bob Kowalski on his 60th birthday, an anniversary which gives his friends and colleagues an excuse to celebrate his career as an original thinker, a charismatic communicator, and a forceful intellectual leader. The logic programming community hereby and herein conveys its respect and thanks to him for his pivotal role in creating and fostering the conceptual paradigm which is its raison d’Œtre. The diversity of interests covered here reflects the variety of Bob’s concerns. Read on. It is an intellectual feast. Before you begin, permit me to send him a brief personal, but public, message: Bob, how right you were, and how wrong I was. I should explain. When Bob arrived in Edinburgh in 1967 resolution was as yet fairly new, having taken several years to become at all widely known. Research groups to investigate various aspects of resolution sprang up at several institutions, the one organized by Bernard Meltzer at Edinburgh University being among the first. For the half-dozen years that Bob was a leading member of Bernard’s group, I was a frequent visitor to it, and I saw a lot of him. We had many discussions about logic, computation, and language.