Resolution Methods For The Decision Problem

This volume contains work on the decision problem done in Kazan (Russia), Tallinn (Estonia), and Vienna (Austria). The authors met several times to discuss and exchange their results and finally decided to write this monograph together. Besides a unified treatment of previously published results there are many new results first presented in this volume. The monograph opens with an introduction and a chapter on terminology, followed by chapters on: - Semantic clash resolution as decision procedure, - Completeness of ordering refinements, - Semantic tree based resolution variants, - Deciding the class K by an ordering refinement, - A resolution based method for building finite models. A final chapter on applications completes the volume.

This book offers a comprehensive treatment of the classical decision problem of mathematical logic and of the role of the classical decision problem in modern computer science. The text presents a revealing analysis of the natural order of decidable and undecidable cases and includes a number of simple proofs and exercises.

A comprehensive procedure for systematically examining actual disputes. Clearly explains the theory and practice of this novel approach to conflict modeling, analysis and resolution. Based upon ideas from both graph and game theories, it extends the realm of multiple objective-multiple-participant decision making in useful directions. Includes a wealth of illustrations and a computer disk.

The History of the Book In August 1992 the author had the opportunity to give a course on resolution theorem proving at the Summer School for Logic, Language, and Information in Essex. The challenge of this course (a total of five two-hour lectures) con sisted in the selection of the topics to be presented. Clearly the first selection has already been made by calling the course "resolution theorem proving" instead of "automated deduction" . In the latter discipline a remarkable body of knowledge has been created during the last 35 years, which hardly can be presented exhaustively, deeply and uniformly at the same time. In this situ ation one has to make a choice between a survey and a detailed presentation with a more limited scope. The author decided for the second alternative, but does not suggest that the other is less valuable. Today resolution is only one among several calculi in computational logic and automated reasoning. How ever, this does not imply that resolution is no longer up to date or its potential exhausted. Indeed the loss of the "monopoly" is compensated by new appli cations and new points of view. It was the purpose of the course mentioned above to present such new developments of resolution theory. Thus besides the traditional topics of completeness of refinements and redundancy, aspects of termination (resolution decision procedures) and of complexity are treated on an equal basis.

The Handbook of Conflict Resolution, Second Edition is written for both the seasoned professional and the student who wants to deepen their understanding of the processes involved in conflicts and their knowledge of how to manage them constructively. It provides the theoretical underpinnings that throw light on the fundamental social psychological processes involved in understanding and managing conflicts at all levels—interpersonal, intergroup, organizational, and international. The Handbook covers a broad range of topics including information on cooperation and competition, justice, trust development and repair, resolving intractable conflict, and working with culture and conflict. Comprehensive in scope, this new edition includes chapters that deal with language, emotion, gender, and personal implicit theories as they relate to conflict.