A Proof Theory for General Unification

A Proof Theory for General Unification PDF Author: W. Snyder
Publisher: Springer Science & Business Media
ISBN: 1461204356
Category : Computers
Languages : en
Pages : 181

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Book Description
In this monograph we study two generalizations of standard unification, E-unification and higher-order unification, using an abstract approach orig inated by Herbrand and developed in the case of standard first-order unifi cation by Martelli and Montanari. The formalism presents the unification computation as a set of non-deterministic transformation rules for con verting a set of equations to be unified into an explicit representation of a unifier (if such exists). This provides an abstract and mathematically elegant means of analysing the properties of unification in various settings by providing a clean separation of the logical issues from the specification of procedural information, and amounts to a set of 'inference rules' for unification, hence the title of this book. We derive the set of transformations for general E-unification and higher order unification from an analysis of the sense in which terms are 'the same' after application of a unifying substitution. In both cases, this results in a simple extension of the set of basic transformations given by Herbrand Martelli-Montanari for standard unification, and shows clearly the basic relationships of the fundamental operations necessary in each case, and thus the underlying structure of the most important classes of term unifi cation problems.

Strategy; Its Theory and Application

Strategy; Its Theory and Application PDF Author: Helmuth Graf von Moltke
Publisher: Praeger
ISBN:
Category : History
Languages : en
Pages : 416

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Book Description
These works provide many clues to the military thought of this renowned Chief of the Prussian General Staff as he sought to apply new weapons to tactics and to give new dimensions to strategy. The books are essential to an understanding of Prussian strategy in 1866 and 1870, and of German military doctrine on the eve of World War I.

Einstein's Unification

Einstein's Unification PDF Author: Jeroen van Dongen
Publisher: Cambridge University Press
ISBN: 1139643924
Category : Science
Languages : en
Pages : 225

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Book Description
Why did Einstein tirelessly study unified field theory for more than thirty years? In this book, the author argues that Einstein believed he could find a unified theory of all of nature's forces by repeating the methods he thought he had used when he formulated general relativity. The book discusses Einstein's route to the general theory of relativity, focusing on the philosophical lessons that he learnt. It then addresses his quest for a unified theory for electromagnetism and gravity, discussing in detail his efforts with Kaluza-Klein and, surprisingly, the theory of spinors. From these perspectives, Einstein's critical stance towards the quantum theory comes to stand in a new light. This book will be of interest to physicists, historians and philosophers of science.

A Proof Theory for General Unification

A Proof Theory for General Unification PDF Author: W. Snyder
Publisher: Springer Science & Business Media
ISBN: 1461204356
Category : Computers
Languages : en
Pages : 181

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Book Description
In this monograph we study two generalizations of standard unification, E-unification and higher-order unification, using an abstract approach orig inated by Herbrand and developed in the case of standard first-order unifi cation by Martelli and Montanari. The formalism presents the unification computation as a set of non-deterministic transformation rules for con verting a set of equations to be unified into an explicit representation of a unifier (if such exists). This provides an abstract and mathematically elegant means of analysing the properties of unification in various settings by providing a clean separation of the logical issues from the specification of procedural information, and amounts to a set of 'inference rules' for unification, hence the title of this book. We derive the set of transformations for general E-unification and higher order unification from an analysis of the sense in which terms are 'the same' after application of a unifying substitution. In both cases, this results in a simple extension of the set of basic transformations given by Herbrand Martelli-Montanari for standard unification, and shows clearly the basic relationships of the fundamental operations necessary in each case, and thus the underlying structure of the most important classes of term unifi cation problems.

Theory of Information

Theory of Information PDF Author: Mark Burgin
Publisher: World Scientific
ISBN: 9812835490
Category : Computers
Languages : en
Pages : 689

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Book Description
This unique volume presents a new approach OCo the general theory of information OCo to scientific understanding of information phenomena. Based on a thorough analysis of information processes in nature, technology, and society, as well as on the main directions in information theory, this theory synthesizes existing directions into a unified system. The book explains how this theory opens new kinds of possibilities for information technology, information sciences, computer science, knowledge engineering, psychology, linguistics, social sciences, and education. The book also gives a broad introduction to the main mathematically-based directions in information theory. The general theory of information provides a unified context for existing directions in information studies, making it possible to elaborate on a comprehensive definition of information; explain relations between information, data, and knowledge; and demonstrate how different mathematical models of information and information processes are related. Explanation of information essence and functioning is given, as well as answers to the following questions: how information is related to knowledge and data; how information is modeled by mathematical structures; how these models are used to better understand computers and the Internet, cognition and education, communication and computation. Sample Chapter(s). Chapter 1: Introduction (354 KB). Contents: General Theory of Information; Statistical Information Theory; Semantic Information Theory; Algorithm Information Theory; Pragmatic Information Theory; Dynamics of Information. Readership: Professionals in information processing, and general readers interested in information and information processes.

The Holy Roman Empire

The Holy Roman Empire PDF Author: James Bryce Bryce (Viscount)
Publisher:
ISBN:
Category : Holy Roman Empire
Languages : en
Pages : 512

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Book Description


Mitterrand, the End of the Cold War, and German Unification

Mitterrand, the End of the Cold War, and German Unification PDF Author: Frédéric Bozo
Publisher: Berghahn Books
ISBN: 1845457870
Category : Biography & Autobiography
Languages : en
Pages : 450

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Book Description
This book explores the role of France in the events leading up to the end of the Cold War and German unification. --from publisher description.

Divided in Unity

Divided in Unity PDF Author: Andreas Glaeser
Publisher: University of Chicago Press
ISBN: 9780226297835
Category : History
Languages : en
Pages : 404

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Book Description
In Divided in Unity, Andreas Glaeser examines why east and west Germans continue to feel deeply divided and develops an analytical theory of identity formation, which offers a middle ground between modernist theories of a unitary self and postmodernist theories of a fragmented self."--BOOK JACKET.

Unified Theories of Cognition

Unified Theories of Cognition PDF Author: Allen Newell
Publisher: Harvard University Press
ISBN: 9780674921016
Category : Psychology
Languages : en
Pages : 580

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Book Description
Newell introduces Soar, an architecture for general cognition. A pioneer system in AI, Soar is the first problem-solver to create its own subgoals and learn continuously from its own experience. Its ability to operate within the real-time constraints of intelligent behavior illustrates important characteristics of human cognition.

The Unified Modeling Language User Guide

The Unified Modeling Language User Guide PDF Author: Grady Booch
Publisher: Addison-Wesley Professional
ISBN: 9780134852157
Category :
Languages : en
Pages : 504

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Book Description
For nearly ten years, the Unified Modeling Language (UML) has been the industry standard for visualizing, specifying, constructing, and documenting the artifacts of a software-intensive system. As the de facto standard modeling language, the UML facilitates communication and reduces confusion among project stakeholders. The recent standardization of UML 2.0 has further extended the language's scope and viability. Its inherent expressiveness allows users to model everything from enterprise information systems and distributed Web-based applications to real-time embedded systems. In this eagerly anticipated revision of the best-selling and definitive guide to the use of the UML, the creators of the language provide a tutorial to its core aspects in a two-color format designed to facilitate learning. Starting with an overview of the UML, the book explains the language gradually by introducing a few concepts and notations in each chapter. It also illustrates the application of the UML to complex modeling problems across a variety of application domains. The in-depth coverage and example-driven approach that made the first edition of The Unified Modeling Language User Guide an indispensable resource remain unchanged. However, content has been thoroughly updated to reflect changes to notation and usage required by UML 2.0. Highlights include: A new chapter on components and internal structure, including significant new capabilities for building encapsulated designs New details and updated coverage of provided and required interfaces, collaborations, and UML profiles Additions and changes to discussions of sequence diagrams, activity diagrams, and more Coverage of many other changes introduced by the UML 2.0 specification With this essential guide, you will quickly get up to speed on the latest features of the industry standard modeling language and be able to apply them to your next software project.

Demonstrating Reconciliation

Demonstrating Reconciliation PDF Author: Hannfried von Hindenburg
Publisher: Berghahn Books
ISBN: 9781845452872
Category : History
Languages : en
Pages : 240

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Book Description
During the 1950s and early 1960s, the West German government refused to exchange ambassadors with Israel. It feared Arab governments might retaliate against such an acknowledgement of their political foe by recognizing Communist East Germany-West Germany's own nemesis-as an independent state, and in doing so confirm Germany's division. Even though the goal of national unification was far more important to German policymakers than full reconciliation with Israel in the aftermath of the Holocaust, in 1965 the Bonn government eventually did agree to commence diplomatic relations with Jerusalem. This was due, the author argues, to grassroots intervention in high-level politics. Students, the media, trade unions, and others pushed for reconciliation with Israel rather than the pursuit of German unification. For the first time, this book provides an in-depth look at the role society played in shaping Germany's relations with Israel. Today, German society continues to reject anti-Semitism, but is increasingly prepared to criticize Israeli policies, especially in the Palestinian territories. The author argues that this trend sets the stage for a German foreign policy that will continue to support Israel, but is likely to do so more selectively than in the past.