On Decidable Locally Finite Varieties PDF Download
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Author | : Ralph McKenzie |
Publisher | : Springer Science & Business Media |
Total Pages | : 209 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461245524 |
Download Structure of Decidable Locally Finite Varieties Book in PDF, ePub and Kindle
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.
Author | : Matthew Anthony Valeriote |
Publisher | : |
Total Pages | : 294 |
Release | : 1986 |
Genre | : |
ISBN | : |
Download On Decidable Locally Finite Varieties Book in PDF, ePub and Kindle
Author | : Ralph MacKenzie |
Publisher | : |
Total Pages | : 212 |
Release | : 1989-01-01 |
Genre | : Classes équationnelles |
ISBN | : 9783764334390 |
Download The structure of decidable locally finite varieties Book in PDF, ePub and Kindle
Author | : Matthew Smedberg |
Publisher | : |
Total Pages | : 75 |
Release | : 2014 |
Genre | : Abelian varieties |
ISBN | : |
Download Necessary Conditions for Finite Decidability in Locally Finite Varieties Admitting Strongly Abelian Behavior Book in PDF, ePub and Kindle
Author | : Juha Oikkonen |
Publisher | : Cambridge University Press |
Total Pages | : 317 |
Release | : 2017-03-02 |
Genre | : Mathematics |
ISBN | : 1316739651 |
Download Logic Colloquium '90 Book in PDF, ePub and Kindle
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the second publication in the Lecture Notes in Logic series, is the proceedings of the Association for Symbolic Logic meeting held in Helsinki, Finland, in July 1990. It contains eighteen papers by leading researchers, covering all fields of mathematical logic from the philosophy of mathematics, through model theory, proof theory, recursion theory, and set theory, to the connections of logic to computer science. The articles published here are still widely cited and continue to provide ideas for ongoing research projects.
Author | : Leonid A. Bokut' |
Publisher | : American Mathematical Soc. |
Total Pages | : 696 |
Release | : 1992 |
Genre | : Algebra |
ISBN | : 0821851381 |
Download Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev Book in PDF, ePub and Kindle
Author | : Stanley Burris |
Publisher | : American Mathematical Soc. |
Total Pages | : 117 |
Release | : 1981 |
Genre | : Mathematics |
ISBN | : 0821822462 |
Download Decidability and Boolean Representations Book in PDF, ePub and Kindle
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).
Author | : |
Publisher | : |
Total Pages | : 224 |
Release | : 1991-04 |
Genre | : |
ISBN | : |
Download Canadian Journal of Mathematics Book in PDF, ePub and Kindle
Author | : Klaus U. Schulz |
Publisher | : Springer Science & Business Media |
Total Pages | : 278 |
Release | : 1992-01-29 |
Genre | : Computers |
ISBN | : 9783540551249 |
Download Word Equations and Related Topics Book in PDF, ePub and Kindle
This volume contains papers presented at the first international workshop onword equations and related topics held at the University of T}bingen in October 1990. Word equations, the central topic of this annual workshop, lieat the intersection of several important areas of computer science, suchas unification theory, combinatorics on words, list processing, and constraint logic programming. The workshop is a forum where researchers fromthese different domains may present and discuss results and ideas, thereby supporting interaction and cross-fertilization between theoretical questions and practical applications. The volume collects papers which: - contain new and relevant results, - describe a new approach to a subject, or - give a survey of main developments in an area. Papers cover investigations on free groups, associative unification and Makanin's algorithm to decide the solvability of equations in free semigroups, general unification theory and its relationship to algebra and model theory, Thue systems, and finitely presented groups.
Author | : Klaus Denecke |
Publisher | : CRC Press |
Total Pages | : 328 |
Release | : 2000-08-08 |
Genre | : Mathematics |
ISBN | : 148228751X |
Download Hyperidentities and Clones Book in PDF, ePub and Kindle
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