On 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.

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.

On Finitely Decidable Varieties

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Author : Joohee Jeong
language : en
Publisher:
Release Date : 1991

On Finitely Decidable Varieties written by Joohee Jeong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.

Hyperidentities And Clones

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Author : Klaus Denecke
language : en
Publisher: CRC Press
Release Date : 2000-08-08

Hyperidentities And Clones written by Klaus Denecke and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-08 with Mathematics categories.

Theories and results on hyperidentities have been published in various areas of the literature over the last 18 years. Hyperidentities and Clones integrates these into a coherent framework for the first time. The author also includes some applications of hyperidentities to the functional completeness problem in multiple-valued logic and extends the

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.

Logic Colloquium 90

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Author : Juha Oikkonen
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02

Logic Colloquium 90 written by Juha Oikkonen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.

The proceedings of the Association for Symbolic Logic meeting held in Helsinki, Finland, in July 1990, containing eighteen papers written by leading researchers in logic. Between them they cover all fields of mathematical logic, including model theory, proof theory, recursion theory, and set theory.

Decidability And Boolean Representations

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Author : Stanley Burris
language : en
Publisher: American Mathematical Soc.
Release Date : 1981

Decidability And Boolean Representations written by Stanley Burris 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 1981 with Mathematics categories.

In part I we address the question: which varieties have a decidable first order theory? We confine our attention to varieties whose algebras have modular congruence lattices (i.e., modular varieties), and focus primarily on locally finite varieties, although near the end of the paper Zamjatin's description of all decidable varieties of groups and rings, and offer a new proof of it. In part II, we show that if a variety admits such sheaf representations using only finitely many stalks, all of which are finite, then the variety can be decomposed in the product of a discriminator variety and an abelian variety. We continue this investigation by looking at well-known specializations of the sheaf construction, namely Boolean powers and sub-Boolean powers, giving special emphasis to quasi-primal algebras A, such that the sub-Boolean powers of A form a variety (this extends the work of Arens and Kaplansky on finite fields).

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.

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.