1 edition of **Logic-Based 0-1 Constraint Programming** found in the catalog.

- 302 Want to read
- 21 Currently reading

Published
**1996**
by Springer US in Boston, MA
.

Written in English

- Mathematical optimization,
- Economics,
- Artificial intelligence

A logic view of 0-1 integer programming problems, providing new insights into the structure of problems that can lead the researcher to more effective solution techniques depending on the problem class. Operations research techniques are integrated into a logic programming environment. The first monographic treatment that begins to unify these two methodological approaches. Logic-based methods for modelling and solving combinatorial problems have recently started to play a significant role in both theory and practice. The application of logic to combinatorial problems has a dual aspect. On one hand, constraint logic programming allows one to declaratively model combinatorial problems over an appropriate constraint domain, the problems then being solved by a corresponding constraint solver. Besides being a high-level declarative interface to the constraint solver, the logic programming language allows one also to implement those subproblems that cannot be naturally expressed with constraints. On the other hand, logic-based methods can be used as a constraint solving technique within a constraint solver for combinatorial problems modelled as 0-1 integer programs.

**Edition Notes**

Statement | by Peter Barth |

Series | Operations Research/Computer Science Interfaces Series -- 5, Operations research/computer science interfaces series -- 5. |

Classifications | |
---|---|

LC Classifications | HD30.23 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (272p.) |

Number of Pages | 272 |

ID Numbers | |

Open Library | OL27071607M |

ISBN 10 | 146128564X, 1461313155 |

ISBN 10 | 9781461285649, 9781461313151 |

OCLC/WorldCa | 852790705 |

the book for that. 2 Genesis and growth of the idea In , Paris Kanellakis visited IBM Watson Re-searchCenter. Atthattime,agroupofpeoplearound Jean-Louis Lassez back there were active in the sub-ject of constraint logic programming [8]. Constraint logic programming is a generalization of standard logic programming. Recall that standard logic. Constraint logic programming, the notion of computing with partial information, is becoming recognized as a way of dramatically improving on the current generation of programming languages. This collection presents the best of current work on all aspects of constraint logic programming languages, from theory through language implementation.

Because of their complementary strengths, optimization and constraint programming can be profitably merged. Their integration has been the subject of increasing commercial and research activity. This paper summarizes and contrasts the characteristics of the two fields; in particular, how they use logical inference in different ways, and how these ways can be by: Logic-Based Constraint Programming A logic view of integer programming problems, providing new insights into the structure of problems that can lead the researcher to more effective solution techniques depending on the problem class.

He also devised an algorithm to compute for an arbitrary linear inequality an equivalent set of extended clauses. Bockmayr [, ] and Barth and Bockmayr [, ] study logic-based and polyhedral constraint solving in the context of constraint logic programming. Barth, P. (). Logic-based Constraint Solving in Constraint Logic Programming. PhD Thesis, Fachbereich Informatik, Universität des Saarlandes, Germany, Saarbrücken.

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A logic view of integer programming problems, providing new insights into the structure of problems that can lead the researcher to more effective solution techniques depending on the problem class.

Operations research techniques are integrated into a logic programming by: About this book A logic view of integer programming problems, providing new insights into the structure of problems that can lead the researcher to more effective solution techniques depending on the problem class.

Operations research techniques are integrated into a logic programming environment. A logic view of integer programming problems, providing new insights into the structure of problems that can lead the researcher to more effective solution techniques depending on the problem class.

Operations research techniques are integrated into a logic programming environment. Browse Books. Home Browse by Title Books Logic-based constraint programming. Logic-based constraint programming November November Read More.

Author: Peter Barth. Max Planck Institute, Saarbru¨cken, Germany. Publisher: Kluwer Academic Publishers; Philip Drive Assinippi Park Norwell, MA. A pioneering look at the fundamental role of logic in optimization and constraint satisfaction While recent efforts to combine optimization and constraint satisfaction have received considerable attention, little has been said about using logic in optimization as the key to unifying the two fields.

Logic-Based Methods for Optimization develops for the first time a comprehensive conceptual. Logic-Based Methods for Optimization develops for the first time a comprehensive conceptual framework for integrating optimization and constraint satisfaction, then goes a step further and shows how extending logical inference to optimization allows for more powerful as well as flexible modeling and solution techniques.

Logic-based 0–1 constraint programming By Peter Barth. Kluwer Academic Publishers, Dordrecht, The Netherlands. pages. $, £, Dfl. Integrating constraint solving techniques into logic programming increases expressibility, efficiency, and flexibility and therefore encourages declarative programming.

Efficient special purpose algorithms, coming from mathematics, operations research, or artificial intelligence, can be embedded into the logic programming language.

The logic programming language allows one to declaratively state the problem, which is solved by the underlying constraint : Peter Barth. Handbook of Constraint Programming. Constraint programming is a powerful paradigm for solving combinatorial search problems that draws on a wide range of techniques from artificial intelligence, computer science, databases, programming languages, and operations research.3/5(1).

Constraint Programming 4 Development of Logic-Based Methods 6 Recent Applications and Software 8 Organization of the Book 9 How Much to Read 9 Background Material 11 A Practical Logic-Based System 12 A Deeper Analysis 12 2 Some Examples 15 Logic-Based Modeling – The constraint satisfaction problem P is generalized arc consistent, if and only if all the constraints in P are GAC.

Generalized!arc!consistency. We will modify AC-3 for non-binary constraints. – We can see a constraint as a set of propagation methods – each method makes one variable GAC:File Size: 4MB. Logic-Based Constraint Programming.

[Peter Barth] -- A logic view of integer programming problems, providing new insights into the structure of problems that can lead the researcher to more effective solution techniques depending on the problem. Logic-based Benders decomposition (LBBD) has improved the state of the art for solving a variety of planning and scheduling problems, in part by combining the complementary strengths of constraint.

Constraint programming is an embedding of constraints in a host language. The first host languages used were logic programming languages, so the field was initially called constraint logic two paradigms share many important features, like logical variables and most Prolog implementations include one or more libraries for constraint logic programming.

A logic view of integer programming problems, providing new insights into the structure of problems that can lead the researcher to more effective solution techniques depending on the problem. Constraint logic programming lies at the intersection of logic programming, optimisation and artificial intelligence.

It has proved a successful tool in many areas including production planning, transportation scheduling, numerical analysis and bioinformatics. Eclipse is one of the leading software systems that realise its underlying by: On the other hand, logic-based methods can be used as a constraint solving technique within a constraint solver for combinatorial problems modelled as integer programs.

View Show abstractAuthor: Laurent Perron. What is Constraint (Logic) Programming. In this chapter we will give an introduction to Constraint (Logic) Programming. We will briefly review the types of applications for which C(L)P is well suited, and we will give examples of the solution for a problem using different C(L)P languages.

Books shelved as logic-programming: Programming in PROLOG: Using the ISO Standard by William F. Clocksin, The Reasoned Schemer by Daniel P. Friedman, The Home My Books.

Logical Constraints and Logic Programming1 V. Wiktor Marek, 2 Anil Nerode, 3 and Jeﬀrey B. Remmel 4 Abstract In this note we will investigate a form of logic programming with constraints. The constraints that we consider will not be restricted to statements on real numbers as in CLP(R), see [15].

Instead our constraints will be arbitrary File Size: KB. A pioneering look at the fundamental role of logic in optimization and constraint satisfaction While recent efforts to combine optimization and constraint satisfaction have received considerable attention, little has been said about using logic in optimization as the key to unifying the Price: $Many more constraints can be specified but will be rewritten in term of the primitive ones.

For instance, n-ary constraints of the form s 1 ∪ s 2 ⊆ s 3 ∩ s 4. Th reason is that the partial solving of constraints requires us to express each set variable in terms of the others.Maybe you can have a look at an introductory course thought at the Saarland University about constraint programming.

They do not use mozart as dr_pepper said but Gecode. Gecode is a follow-up language of mozart, implemented partly by the same people.