Structure Of Decidable Locally Finite Varieties

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Structure Of Decidable Locally Finite Varieties

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Author : Ralph McKenzie
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Structure Of Decidable Locally Finite Varieties written by Ralph McKenzie 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.

A mathematically precise definition of the intuitive notion of "algorithm" was implicit in Kurt Godel's [1931] paper on formally undecidable propo sitions of arithmetic. During the 1930s, in the work of such mathemati cians as Alonzo Church, Stephen Kleene, Barkley Rosser and Alfred Tarski, Godel's idea evolved into the concept of a recursive function. Church pro posed the thesis, generally accepted today, that an effective algorithm is the same thing as a procedure whose output is a recursive function of the input (suitably coded as an integer). With these concepts, it became possible to prove that many familiar theories are undecidable (or non-recursive)-i. e. , that there does not exist an effective algorithm (recursive function) which would allow one to determine which sentences belong to the theory. It was clear from the beginning that any theory with a rich enough mathematical content must be undecidable. On the other hand, some theories with a substantial content are decidable. Examples of such decidabLe theories are the theory of Boolean algebras (Tarski [1949]), the theory of Abelian groups (Szmiele~ [1955]), and the theories of elementary arithmetic and geometry (Tarski [1951]' but Tarski discovered these results around 1930). The de termination of precise lines of division between the classes of decidable and undecidable theories became an important goal of research in this area. algebra we mean simply any structure (A, h(i E I)} consisting of By an a nonvoid set A and a system of finitary operations Ii over A.

On Decidable Locally Finite Varieties

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Author : Matthew Anthony Valeriote
language : en
Publisher:
Release Date : 1986

On Decidable Locally Finite Varieties written by Matthew Anthony Valeriote and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.

Structure Of Decidable Locally Finite Varieties

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Author : Ralph McKenzie
language : en
Publisher:
Release Date : 1989-11-01

Structure Of Decidable Locally Finite Varieties written by Ralph McKenzie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-11-01 with categories.

Algebraic Model Theory

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Author : Bradd T. Hart
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Algebraic Model Theory written by Bradd T. Hart 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 2013-03-14 with Mathematics categories.

Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras. Audience: Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented.

Structural Theory Of Automata Semigroups And Universal Algebra

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Author : Valery B. Kudryavtsev
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-18

Structural Theory Of Automata Semigroups And Universal Algebra written by Valery B. Kudryavtsev 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 2006-01-18 with Mathematics categories.

Several of the contributions to this volume bring forward many mutually beneficial interactions and connections between the three domains of the title. Developing them was the main purpose of the NATO ASI summerschool held in Montreal in 2003. Although some connections, for example between semigroups and automata, were known for a long time, developing them and surveying them in one volume is novel and hopefully stimulating for the future. Another aspect is the emphasis on the structural theory of automata that studies ways to contstruct big automata from small ones. The volume also has contributions on top current research or surveys in the three domains. One contribution even links clones of universal algebra with the computational complexity of computer science. Three contributions introduce the reader to research in the former East block.

The Structure Of Decidable Locally Finite Varieties

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Author : Ralph MacKenzie
language : en
Publisher:
Release Date : 1989-01-01

The Structure Of Decidable Locally Finite Varieties written by Ralph MacKenzie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Classes équationnelles categories.

Algebras Lattices Varieties

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Author : Ralph N. McKenzie
language : en
Publisher: American Mathematical Society
Release Date : 2018-07-09

Algebras Lattices Varieties written by Ralph N. McKenzie and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-09 with Mathematics categories.

This book presents the foundations of a general theory of algebras. Often called “universal algebra”, this theory provides a common framework for all algebraic systems, including groups, rings, modules, fields, and lattices. Each chapter is replete with useful illustrations and exercises that solidify the reader's understanding. The book begins by developing the main concepts and working tools of algebras and lattices, and continues with examples of classical algebraic systems like groups, semigroups, monoids, and categories. The essence of the book lies in Chapter 4, which provides not only basic concepts and results of general algebra, but also the perspectives and intuitions shared by practitioners of the field. The book finishes with a study of possible uniqueness of factorizations of an algebra into a direct product of directly indecomposable algebras. There is enough material in this text for a two semester course sequence, but a one semester course could also focus primarily on Chapter 4, with additional topics selected from throughout the text.

Canadian Journal Of Mathematics

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Author :
language : en
Publisher:
Release Date : 1991-04

Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-04 with categories.

Hiroakira Ono On Substructural Logics

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Author : Nikolaos Galatos
language : en
Publisher: Springer Nature
Release Date : 2021-12-13

Hiroakira Ono On Substructural Logics written by Nikolaos Galatos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-13 with Philosophy categories.

This volume is dedicated to Hiroakira Ono life’s work on substructural logics. Chapters, written by well-established academics, cover topics related to universal algebra, algebraic logic and the Full Lambek calculus; the book includes a short biography about Hiroakira Ono. The book starts with detailed surveys on universal algebra, abstract algebraic logic, topological dualities, and connections to computer science. It further contains specialised contributions on connections to formal languages (recognizability in residuated lattices and connections to the finite embedding property), covering systems for modal substructural logics, results on the existence and disjunction properties and finally a study of conservativity of expansions. This book will be primarily of interest to researchers working in algebraic and non-classical logic.

Proceedings Of The International Conference On Algebra Dedicated To The Memory Of A I Mal Cev

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Author : Leonid A. Bokut'
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Proceedings Of The International Conference On Algebra Dedicated To The Memory Of A I Mal Cev written by Leonid A. Bokut' 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 1992 with Algebra categories.