Effective Properties of Finitely Generated R.E. Algebras

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ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Effective Properties of Finitely Generated R.E. Algebras by : Anil Nerode

Download or read book Effective Properties of Finitely Generated R.E. Algebras written by Anil Nerode and published by . This book was released on 1994 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finitely Generated R.e. Algebras

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Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Finitely Generated R.e. Algebras by : Anil Nerode

Download or read book Finitely Generated R.e. Algebras written by Anil Nerode and published by . This book was released on 1993 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Feasible Mathematics II

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Publisher : Springer Science & Business Media
ISBN 13 : 1461225663
Total Pages : 456 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Feasible Mathematics II by : Peter Clote

Download or read book Feasible Mathematics II written by Peter Clote and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perspicuity is part of proof. If the process by means of which I get a result were not surveyable, I might indeed make a note that this number is what comes out - but what fact is this supposed to confirm for me? I don't know 'what is supposed to come out' . . . . 1 -L. Wittgenstein A feasible computation uses small resources on an abstract computa tion device, such as a 'lUring machine or boolean circuit. Feasible math ematics concerns the study of feasible computations, using combinatorics and logic, as well as the study of feasibly presented mathematical structures such as groups, algebras, and so on. This volume contains contributions to feasible mathematics in three areas: computational complexity theory, proof theory and algebra, with substantial overlap between different fields. In computational complexity theory, the polynomial time hierarchy is characterized without the introduction of runtime bounds by the closure of certain initial functions under safe composition, predicative recursion on notation, and unbounded minimization (S. Bellantoni); an alternative way of looking at NP problems is introduced which focuses on which pa rameters of the problem are the cause of its computational complexity and completeness, density and separation/collapse results are given for a struc ture theory for parametrized problems (R. Downey and M. Fellows); new characterizations of PTIME and LINEAR SPACE are given using predicative recurrence over all finite tiers of certain stratified free algebras (D.

Recursive Model Theory

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Publisher : Elsevier
ISBN 13 : 9780080533698
Total Pages : 619 pages
Book Rating : 4.5/5 (336 download)

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Book Synopsis Recursive Model Theory by :

Download or read book Recursive Model Theory written by and published by Elsevier. This book was released on 1998-11-30 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recursive Model Theory

Effective Methods in Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 1461204410
Total Pages : 504 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Effective Methods in Algebraic Geometry by : T. Mora

Download or read book Effective Methods in Algebraic Geometry written by T. Mora and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symposium "MEGA-90 - Effective Methods in Algebraic Geome try" was held in Castiglioncello (Livorno, Italy) in April 17-211990. The themes - we quote from the "Call for papers" - were the fol lowing: - Effective methods and complexity issues in commutative algebra, pro jective geometry, real geometry, algebraic number theory - Algebraic geometric methods in algebraic computing Contributions in related fields (computational aspects of group theory, differential algebra and geometry, algebraic and differential topology, etc.) were also welcome. The origin and the motivation of such a meeting, that is supposed to be the first of a series, deserves to be explained. The subject - the theory and the practice of computation in alge braic geometry and related domains from the mathematical viewpoin- has been one of the themes of the symposia organized by SIGSAM (the Special Interest Group for Symbolic and Algebraic Manipulation of the Association for Computing Machinery), SAME (Symbolic and Algebraic Manipulation in Europe), and AAECC (the semantics of the name is vary ing; an average meaning is "Applied Algebra and Error Correcting Codes").

Finitely Generated Commutative Monoids

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Publisher : Nova Publishers
ISBN 13 : 9781560726708
Total Pages : 204 pages
Book Rating : 4.7/5 (267 download)

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Book Synopsis Finitely Generated Commutative Monoids by : J. C. Rosales

Download or read book Finitely Generated Commutative Monoids written by J. C. Rosales and published by Nova Publishers. This book was released on 1999 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for an undergraduate course, requiring only a knowledge of basic linear algebra. Explains how to compute presentations for finitely generated cancellative monoids, and from a presentation of a monoid, decide whether this monoid is cancellative, reduced, separative, finite, torsion free, group, affine, full, normal, etc. Of most interest to people working with semigroup theory, but also in other areas of algebra. Annotation copyrighted by Book News, Inc., Portland, OR

Rewriting Techniques and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540510819
Total Pages : 598 pages
Book Rating : 4.5/5 (18 download)

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Book Synopsis Rewriting Techniques and Applications by : Nachum Dershowitz

Download or read book Rewriting Techniques and Applications written by Nachum Dershowitz and published by Springer Science & Business Media. This book was released on 1989 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rewriting has always played an important role in symbolic manipulation and automated deduction systems. The theory of rewriting is an outgrowth of Combinatory Logic and the Lambda Calculus. Applications cover broad areas in automated reasoning, programming language design, semantics, and implementations, and symbolic and algebraic manipulation. The proceedings of the third International Conference on Rewriting Techniques and Applications contain 34 regular papers, covering many diverse aspects of rewriting (including equational logic, decidability questions, term rewriting, congruence-class rewriting, string rewriting, conditional rewriting, graph rewriting, functional and logic programming languages, lazy and parallel implementations, termination issues, compilation techniques, completion procedures, unification and matching algorithms, deductive and inductive theorem proving, Gröbner bases, and program synthesis). It also contains 12 descriptions of implemented equational reasoning systems. Anyone interested in the latest advances in this fast growing area should read this volume.

Proceedings of the Fifth SIAM Conference on Applied Linear Algebra

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Publisher : SIAM
ISBN 13 : 9780898713367
Total Pages : 606 pages
Book Rating : 4.7/5 (133 download)

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Book Synopsis Proceedings of the Fifth SIAM Conference on Applied Linear Algebra by : John Gregg Lewis

Download or read book Proceedings of the Fifth SIAM Conference on Applied Linear Algebra written by John Gregg Lewis and published by SIAM. This book was released on 1994-01-01 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monomial Algebras

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Publisher : CRC Press
ISBN 13 : 148223470X
Total Pages : 704 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Monomial Algebras by : Rafael Villarreal

Download or read book Monomial Algebras written by Rafael Villarreal and published by CRC Press. This book was released on 2018-10-08 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monomial Algebras, Second Edition presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs. New to the Second Edition Four new chapters that focus on the algebraic properties of blowup algebras in combinatorial optimization problems of clutters and hypergraphs Two new chapters that explore the algebraic and combinatorial properties of the edge ideal of clutters and hypergraphs Full revisions of existing chapters to provide an up-to-date account of the subject Bringing together several areas of pure and applied mathematics, this book shows how monomial algebras are related to polyhedral geometry, combinatorial optimization, and combinatorics of hypergraphs. It directly links the algebraic properties of monomial algebras to combinatorial structures (such as simplicial complexes, posets, digraphs, graphs, and clutters) and linear optimization problems.

Structure of Decidable Locally Finite Varieties

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817634391
Total Pages : 232 pages
Book Rating : 4.6/5 (343 download)

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Book Synopsis Structure of Decidable Locally Finite Varieties by : Ralph McKenzie

Download or read book Structure of Decidable Locally Finite Varieties written by Ralph McKenzie and published by Springer Science & Business Media. This book was released on 1989-11-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Graph Structure and Monadic Second-Order Logic

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Publisher : Cambridge University Press
ISBN 13 : 1139644009
Total Pages : 743 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Graph Structure and Monadic Second-Order Logic by : Bruno Courcelle

Download or read book Graph Structure and Monadic Second-Order Logic written by Bruno Courcelle and published by Cambridge University Press. This book was released on 2012-06-14 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The authors not only provide a thorough description of the theory, but also detail its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory.

Petri Net Synthesis

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Publisher : Springer
ISBN 13 : 3662479672
Total Pages : 340 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Petri Net Synthesis by : Eric Badouel

Download or read book Petri Net Synthesis written by Eric Badouel and published by Springer. This book was released on 2015-11-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive, systematic survey of the synthesis problem, and of region theory which underlies its solution, covering the related theory, algorithms, and applications. The authors focus on safe Petri nets and place/transition nets (P/T-nets), treating synthesis as an automated process which, given behavioural specifications or partial specifications of a system to be realized, decides whether the specifications are feasible, and then produces a Petri net realizing them exactly, or if this is not possible produces a Petri net realizing an optimal approximation of the specifications. In Part I the authors introduce elementary net synthesis. In Part II they explain variations of elementary net synthesis and the unified theory of net synthesis. The first three chapters of Part III address the linear algebraic structure of regions, synthesis of P/T-nets from finite initialized transition systems, and the synthesis of unbounded P/T-nets. Finally, the last chapter in Part III and the chapters in Part IV cover more advanced topics and applications: P/T-net with the step firing rule, extracting concurrency from transition systems, process discovery, supervisory control, and the design of speed-independent circuits. Most chapters conclude with exercises, and the book is a valuable reference for both graduate students of computer science and electrical engineering and researchers and engineers in this domain.

Integral Closure of Ideals, Rings, and Modules

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Publisher : Cambridge University Press
ISBN 13 : 0521688604
Total Pages : 446 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Integral Closure of Ideals, Rings, and Modules by : Craig Huneke

Download or read book Integral Closure of Ideals, Rings, and Modules written by Craig Huneke and published by Cambridge University Press. This book was released on 2006-10-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.

Basic Modern Algebra with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 8132215990
Total Pages : 650 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Basic Modern Algebra with Applications by : Mahima Ranjan Adhikari

Download or read book Basic Modern Algebra with Applications written by Mahima Ranjan Adhikari and published by Springer Science & Business Media. This book was released on 2013-12-08 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. In addition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theory to structure theory of rings and homological algebra. Algebraic aspects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraic topology, category theory, algebraic geometry, algebraic number theory, cryptography and theoretical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, with the help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, examples, exercises and historical notes represents a valuable and unique resource.

Rings, Hopf Algebras, and Brauer Groups

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Publisher : CRC Press
ISBN 13 : 1000153282
Total Pages : 352 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Rings, Hopf Algebras, and Brauer Groups by : Stefaan Caenepeel

Download or read book Rings, Hopf Algebras, and Brauer Groups written by Stefaan Caenepeel and published by CRC Press. This book was released on 2020-09-29 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry. "

The Metamathematics of Algebraic Systems

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Publisher : Elsevier
ISBN 13 : 0080954782
Total Pages : 513 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis The Metamathematics of Algebraic Systems by : Lev D. Beklemishev

Download or read book The Metamathematics of Algebraic Systems written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Metamathematics of Algebraic Systems

Effective Mathematics of the Uncountable

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Publisher : Cambridge University Press
ISBN 13 : 1107014514
Total Pages : 205 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Effective Mathematics of the Uncountable by : Noam Greenberg

Download or read book Effective Mathematics of the Uncountable written by Noam Greenberg and published by Cambridge University Press. This book was released on 2013-10-31 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains.