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Generalized Galois Theory and Its Application to Complexity

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Release : 1978
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Generalized Galois Theory and Its Application to Complexity by : Erwin Engeler

Download or read book Generalized Galois Theory and Its Application to Complexity written by Erwin Engeler. This book was released on 1978. Available in PDF, EPUB and Kindle. Book excerpt:

Galois Connections and Applications

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Release : 2004-03-31
Genre : Computers
Kind : eBook
Book Rating : 978/5 ( reviews)

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Book Synopsis Galois Connections and Applications by : Klaus Denecke

Download or read book Galois Connections and Applications written by Klaus Denecke. This book was released on 2004-03-31. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the main ideas of General Galois Theory as a generalization of Classical Galois Theory. It sketches the development of Galois connections through the last three centuries. Examples of Galois connections as powerful tools in Category Theory and Universal Algebra are given. Applications of Galois connections in Linguistic and Data Analysis are presented.

Algorithmic Properties of Structures

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Release : 1993
Genre : Computers
Kind : eBook
Book Rating : 721/5 ( reviews)

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Book Synopsis Algorithmic Properties of Structures by : Erwin Engeler

Download or read book Algorithmic Properties of Structures written by Erwin Engeler. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt: The work of Erwin Engeler in the logic and algebra of computer science has been influential but has become difficult to access because it has appeared in different types of publications. This collection of selected papers is therefore timely and useful. It represents an original and coherent approach to the basic interrelationships between mathematics and computer science.The volume begins with the area of enrichment of classical model theory by languages which express properties representing the outcome of hypothetical computer programs executed in a given class of mathematical structures, and is related to questions of correctness and provability of programs. This point of view allowed the generalization of classical Galois theory to the point of discussing the relation between structure and complexity of solution programs for problems posed in various mathematical theories. The algebraic approach is deepened and enlarged in the later papers by showing that the algorithmic aspects of any mathematical structure can be uniformly dealt with by expanding these structures into combinatory algebras.

Generalized Models and Non-classical Approaches in Complex Materials 1

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Release : 2018-03-24
Genre : Science
Kind : eBook
Book Rating : 401/5 ( reviews)

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Book Synopsis Generalized Models and Non-classical Approaches in Complex Materials 1 by : Holm Altenbach

Download or read book Generalized Models and Non-classical Approaches in Complex Materials 1 written by Holm Altenbach. This book was released on 2018-03-24. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Ω-Bibliography of Mathematical Logic

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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 589/5 ( reviews)

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Book Synopsis Ω-Bibliography of Mathematical Logic by : Heinz-Dieter Ebbinghaus

Download or read book Ω-Bibliography of Mathematical Logic written by Heinz-Dieter Ebbinghaus. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.

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