Algebraic Structures In Automata And Databases Theory
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Algebraic Structures In Automata And Databases Theory
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Author : Boris Isaakovich Plotkin
language : en
Publisher: World Scientific
Release Date : 1992
Algebraic Structures In Automata And Databases Theory written by Boris Isaakovich Plotkin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
The book is devoted to the investigation of algebraic structure. The emphasis is on the algebraic nature of real automation, which appears as a natural three-sorted algebraic structure, that allows for a rich algebraic theory. Based on a general category position, fuzzy and stochastic automata are defined. The final chapter is devoted to a database automata model. Database is defined as an algebraic structure and this allows us to consider theoretical problems of databases.
Algebraic Structures In Automata And Database Theory
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Author : L Ja Greenglaz
language : en
Publisher: World Scientific
Release Date : 1992-12-10
Algebraic Structures In Automata And Database Theory written by L Ja Greenglaz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-12-10 with Mathematics categories.
The book is devoted to the investigation of algebraic structure. The emphasis is on the algebraic nature of real automation, which appears as a natural three-sorted algebraic structure, that allows for a rich algebraic theory. Based on a general category position, fuzzy and stochastic automata are defined. The final chapter is devoted to a database automata model. Database is defined as an algebraic structure and this allows us to consider theoretical problems of databases.
Theoretical Computer Science Proceedings Of The 6th Italian Conference
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Author : Giuseppe Pirillo
language : en
Publisher: World Scientific
Release Date : 1998-10-15
Theoretical Computer Science Proceedings Of The 6th Italian Conference written by Giuseppe Pirillo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-15 with Computers categories.
The Italian Conference on Theoretical Computer Science (ICTCS '98) is the annual conference of the Italian Chapter of the European Association for Theoretical Computer Science. The Conference aims at enabling computer scientists, especially young researchers to enter the community and to exchange theoretical ideas and results, as well as theoretical based practical experiences and tools in computer science.This volume contains 32 papers selected out of 50 submissions. The main topics include computability, automata, formal languages, term rewriting, analysis and design of algorithms, computational geometry, computational complexity, symbolic and algebraic computation, cryptography and security, data types and data structures, semantics of programming languages, program specification and verification, foundations of logic programming, parallel and distributed computation, and theory of concurrency.The volume provides an up-to-date view of the status of several relevant topics in theoretical computer science and suggests directions for future research. It constitutes a valuable working tool for researchers and graduate students.
Groups Algebras And Identities
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Author : Eugene Plotkin
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-03-19
Groups Algebras And Identities written by Eugene Plotkin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Mathematics categories.
A co-publication of the AMS and Bar-Ilan University This volume contains the proceedings of the Research Workshop of the Israel Science Foundation on Groups, Algebras and Identities, held from March 20–24, 2016, at Bar-Ilan University and The Hebrew University of Jerusalem, Israel, in honor of Boris Plotkin's 90th birthday. The papers in this volume cover various topics of universal algebra, universal algebraic geometry, logic geometry, and algebraic logic, as well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.
Universal Algebra Algebraic Logic And Databases
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Author : B. Plotkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Universal Algebra Algebraic Logic And Databases written by B. Plotkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Modern algebra, which not long ago seemed to be a science divorced from real life, now has numerous applications. Many fine algebraic structures are endowed with meaningful contents. Now and then practice suggests new and unexpected structures enriching algebra. This does not mean that algebra has become merely a tool for applications. Quite the contrary, it significantly benefits from the new connections. The present book is devoted to some algebraic aspects of the theory of databases. It consists of three parts. The first part contains information about universal algebra, algebraic logic is the subject of the second part, and the third one deals with databases. The algebraic material of the flI'St two parts serves the common purpose of applying algebra to databases. The book is intended for use by mathematicians, and mainly by algebraists, who realize the necessity to unite theory and practice. It is also addressed to programmers, engineers and all potential users of mathematics who want to construct their models with the help of algebra and logic. Nowadays, the majority of professional mathematicians work in close cooperation with representatives of applied sciences and even industrial technology. It is neces sary to develop an ability to see mathematics in different particular situations. One of the tasks of this book is to promote the acquisition of such skills.
Introduction To Abstract Algebra
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Author : Dr. Kuldeep Singh
language : en
Publisher: Navi International Book Publication house
Release Date : 2024-10-19
Introduction To Abstract Algebra written by Dr. Kuldeep Singh and has been published by Navi International Book Publication house this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-19 with Mathematics categories.
Mathematicians who specialize in abstract algebra study algebraic structures like fields, rings, and groups. Abstract algebra investigates the fundamental ideas and patterns that underpin these procedures, as contrast to elementary algebra, which works with particular equations and operations on numbers. It is a fundamental topic with applications in computer science, cryptography, and physics. It also offers the theoretical basis for many other areas of mathematics. The idea of a group, which is a set with a single operation that meets axioms such as closure, associativity, the presence of an identity element, and the existence of inverses, is one of the fundamental ideas in abstract algebra. A common subject in the study of symmetry and transformations is groups. By adding new operations, including addition and multiplication, and examining their interactions, rings and fields expand on fundamental concepts. By studying abstract algebra, mathematicians may identify patterns and correlations that remain across many systems by moving from concrete numbers to more generalized things. This abstraction makes it possible to comprehend mathematical structures more deeply and inspires the creation of new ideas and instruments. As a field of study, abstract algebra serves as a doorway to more complicated mathematical analysis and as a potent language for characterizing intricate systems across a range of scientific fields. The importance of abstract algebra is not limited to mathematics alone; it also affects other practical disciplines. For example, in computer science, knowledge of abstract algebraic structures is essential to comprehending data structures, algorithms, and cryptographic systems. Group theory and field theory ideas play a major role in cryptography, which protects digital communications, in the creation and cracking of encryption systems. Similar to this, group theory's description of symmetry operations in physics aids in the explanation of key ideas in relativity and quantum mechanics. This field's intrinsic abstraction encourages other ways of thinking. It promotes the development of rigorous yet creative problem-solving abilities since it often calls for identifying patterns and generalizations that are not immediately apparent. This ability to think abstractly is useful not just in mathematics but also in other fields like economics, engineering, and biology that study complex systems. Because of its degree of abstraction and divergence from the arithmetic and algebraic intuition acquired in previous mathematics courses, abstract algebra may be difficult to understand in educational settings
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2001
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Jewels Are Forever
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Author : Juhani Karhumäki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Jewels Are Forever written by Juhani Karhumäki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Dedicated to Arto Salomaa, a towering figure of theoretical computer science, on the occasion of his 65th birthday, this book is a tribute to him on behalf of the theoretical computer science community. The contributions are written by internationally recognized scientists and cover most of Salomaa's many research areas. Due to its representative selection of classic and cutting edge trends in theoretical computer science, the book constitutes a comprehensive state-of-the-art survey. The contributions are in such central areas as automata theory, algorithms and complexity, and combinatorics of words. But not only that, they take up new areas such as regular sets and biocomputing. While some are survey articles of fundamental topics, most are original research papers.
Books In Print
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Author :
language : en
Publisher:
Release Date : 1994
Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with American literature categories.
Handbook Of Algebra
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Author : M. Hazewinkel
language : en
Publisher: Elsevier
Release Date : 2000-04-06
Handbook Of Algebra written by M. Hazewinkel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-06 with Mathematics categories.
Handbook of Algebra