The Equationally Defined Commutator

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The Equationally-Defined Commutator

Author : Janusz Czelakowski
Publisher : Birkhäuser
ISBN 13 : 3319212001
Total Pages : 297 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis The Equationally-Defined Commutator by : Janusz Czelakowski

Download or read book The Equationally-Defined Commutator written by Janusz Czelakowski and published by Birkhäuser. This book was released on 2015-09-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces and explores the notions of a commutator equation and the equationally-defined commutator from the perspective of abstract algebraic logic. An account of the commutator operation associated with equational deductive systems is presented, with an emphasis placed on logical aspects of the commutator for equational systems determined by quasivarieties of algebras. The author discusses the general properties of the equationally-defined commutator, various centralization relations for relative congruences, the additivity and correspondence properties of the equationally-defined commutator and its behavior in finitely generated quasivarieties. Presenting new and original research not yet considered in the mathematical literature, The Equationally-Defined Commutator will be of interest to professional algebraists and logicians, as well as graduate students and other researchers interested in problems of modern algebraic logic.

Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science

Author : Janusz Czelakowski
Publisher : Springer
ISBN 13 : 331974772X
Total Pages : 476 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science by : Janusz Czelakowski

Download or read book Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science written by Janusz Czelakowski and published by Springer. This book was released on 2018-03-20 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.

Janusz Czelakowski on Logical Consequence

Author : Jacek Malinowski
Publisher : Springer Nature
ISBN 13 : 3031444906
Total Pages : 473 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Janusz Czelakowski on Logical Consequence by : Jacek Malinowski

Download or read book Janusz Czelakowski on Logical Consequence written by Jacek Malinowski and published by Springer Nature. This book was released on with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structural Theory of Automata, Semigroups, and Universal Algebra

Author : Valery B. Kudryavtsev
Publisher : Springer Science & Business Media
ISBN 13 : 1402038178
Total Pages : 448 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Structural Theory of Automata, Semigroups, and Universal Algebra by : Valery B. Kudryavtsev

Download or read book Structural Theory of Automata, Semigroups, and Universal Algebra written by Valery B. Kudryavtsev and published by Springer Science & Business Media. This book was released on 2006-01-18 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups, Automata, Universal Algebra, Varieties

Commutator Theory for Congruence Modular Varieties

Author : Ralph Freese
Publisher : CUP Archive
ISBN 13 : 9780521348324
Total Pages : 244 pages
Book Rating : 4.3/5 (483 download)

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Book Synopsis Commutator Theory for Congruence Modular Varieties by : Ralph Freese

Download or read book Commutator Theory for Congruence Modular Varieties written by Ralph Freese and published by CUP Archive. This book was released on 1987-08-20 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of Fuzzy Logic and Soft Computing

Author : Patricia Melin
Publisher : Springer Science & Business Media
ISBN 13 : 3540729178
Total Pages : 836 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Foundations of Fuzzy Logic and Soft Computing by : Patricia Melin

Download or read book Foundations of Fuzzy Logic and Soft Computing written by Patricia Melin and published by Springer Science & Business Media. This book was released on 2007-06-05 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises a selection of papers from IFSA 2007 on new methods and theories that contribute to the foundations of fuzzy logic and soft computing. Coverage includes the application of fuzzy logic and soft computing in flexible querying, philosophical and human-scientific aspects of soft computing, search engine and information processing and retrieval, as well as intelligent agents and knowledge ant colony.

J. Michael Dunn on Information Based Logics

Author : Katalin Bimbo
Publisher : Springer
ISBN 13 : 3319293001
Total Pages : 469 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis J. Michael Dunn on Information Based Logics by : Katalin Bimbo

Download or read book J. Michael Dunn on Information Based Logics written by Katalin Bimbo and published by Springer. This book was released on 2016-04-02 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates and expands on J. Michael Dunn’s work on informational interpretations of logic. Dunn, in his Ph.D. thesis (1966), introduced a semantics for first-degree entailments utilizing the idea that a sentence can provide positive or negative information about a topic, possibly supplying both or neither. He later published a related interpretation of the logic R-mingle, which turned out to be one of the first relational semantics for a relevance logic. An incompatibility relation between information states lends itself to a definition of negation and it has figured into Dunn's comprehensive investigations into representations of various negations. The informational view of semantics is also a prominent theme in Dunn’s research on other logics, such as quantum logic and linear logic, and led to the encompassing theory of generalized Galois logics (or "gaggles"). Dunn’s latest work addresses informational interpretations of the ternary accessibility relation and the very nature of information. The book opens with Dunn’s autobiography, followed by a list of his publications. It then presents a series of papers written by respected logicians working on different aspects of information-based logics. The topics covered include the logic R-mingle, which was introduced by Dunn, and its applications in mathematical reasoning as well as its importance in obtaining results for other relevance logics. There are also interpretations of the accessibility relation in the semantics of relevance and other non-classical logics using different notions of information. It also presents a collection of papers that develop semantics for various logics, including certain modal and many-valued logics. The publication of this book is well timed, since we are living in an "information age.” Providing new technical findings, intellectual history and careful expositions of intriguing ideas, it appeals to a wide audience of scholars and researchers.

Universal Algebra and Lattice Theory

Author : R.S. Freese
Publisher : Springer
ISBN 13 : 3540409548
Total Pages : 314 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Universal Algebra and Lattice Theory by : R.S. Freese

Download or read book Universal Algebra and Lattice Theory written by R.S. Freese and published by Springer. This book was released on 2006-11-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lattice-Ordered Groups

Author : M.E Anderson
Publisher : Springer Science & Business Media
ISBN 13 : 9400928718
Total Pages : 197 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Lattice-Ordered Groups by : M.E Anderson

Download or read book Lattice-Ordered Groups written by M.E Anderson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of groups equipped with a compatible lattice order ("lattice-ordered groups" or "I!-groups") has arisen in a number of different contexts. Examples of this include the study of ideals and divisibility, dating back to the work of Dedekind and continued by Krull; the pioneering work of Hahn on totally ordered abelian groups; and the work of Kantorovich and other analysts on partially ordered function spaces. After the Second World War, the theory of lattice-ordered groups became a subject of study in its own right, following the publication of fundamental papers by Birkhoff, Nakano and Lorenzen. The theory blossomed under the leadership of Paul Conrad, whose important papers in the 1960s provided the tools for describing the structure for many classes of I!-groups in terms of their convex I!-subgroups. A particularly significant success of this approach was the generalization of Hahn's embedding theorem to the case of abelian lattice-ordered groups, work done with his students John Harvey and Charles Holland. The results of this period are summarized in Conrad's "blue notes" [C].

Bulletin of the American Mathematical Society

Author :
Publisher :
ISBN 13 :
Total Pages : 730 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Bulletin of the American Mathematical Society by :

Download or read book Bulletin of the American Mathematical Society written by and published by . This book was released on 1989 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin (new Series) of the American Mathematical Society

Author :
Publisher :
ISBN 13 :
Total Pages : 716 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Bulletin (new Series) of the American Mathematical Society by :

Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1989 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:

7th International Conference on Automated Deduction

Author : R. E. Shostak
Publisher : Springer
ISBN 13 : 0387347682
Total Pages : 517 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis 7th International Conference on Automated Deduction by : R. E. Shostak

Download or read book 7th International Conference on Automated Deduction written by R. E. Shostak and published by Springer. This book was released on 2011-05-09 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Seventh International Conference on Automated Deduction was held May 14-16, 19S4, in Napa, California. The conference is the primary forum for reporting research in all aspects of automated deduction, including the design, implementation, and applications of theorem-proving systems, knowledge representation and retrieval, program verification, logic programming, formal specification, program synthesis, and related areas. The presented papers include 27 selected by the program committee, an invited keynote address by Jorg Siekmann, and an invited banquet address by Patrick Suppes. Contributions were presented by authors from Canada, France, Spain, the United Kingdom , the United States, and West Germany. The first conference in this series was held a decade earlier in Argonne, Illinois. Following the Argonne conference were meetings in Oberwolfach, West Germany (1976), Cambridge, Massachusetts (1977), Austin, Texas (1979), Les Arcs, France (19S0), and New York, New York (19S2). Program Committee P. Andrews (CMU) W.W. Bledsoe (U. Texas) past chairman L. Henschen (Northwestern) G. Huet (INRIA) D. Loveland (Duke) past chairman R. Milner (Edinburgh) R. Overbeek (Argonne) T. Pietrzykowski (Acadia) D. Plaisted (U. Illinois) V. Pratt (Stanford) R. Shostak (SRI) chairman J. Siekmann (U. Kaiserslautern) R. Waldinger (SRI) Local Arrangements R. Schwartz (SRI) iv CONTENTS Monday Morning Universal Unification (Keynote Address) Jorg H. Siekmann (FRG) .

On Systems of Equations Over Free Partially Commutative Groups

Author : Montserrat Casals-Ruiz
Publisher : American Mathematical Soc.
ISBN 13 : 0821852582
Total Pages : 168 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On Systems of Equations Over Free Partially Commutative Groups by : Montserrat Casals-Ruiz

Download or read book On Systems of Equations Over Free Partially Commutative Groups written by Montserrat Casals-Ruiz and published by American Mathematical Soc.. This book was released on 2011 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 212, number 999 (end of volume)."

Algebras, Lattices, Varieties

Author : Ralph N. McKenzie
Publisher : American Mathematical Society
ISBN 13 : 1470442957
Total Pages : 386 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algebras, Lattices, Varieties by : Ralph N. McKenzie

Download or read book Algebras, Lattices, Varieties written by Ralph N. McKenzie and published by American Mathematical Society. This book was released on 2018-07-09 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 1556080085
Total Pages : 556 pages
Book Rating : 4.5/5 (56 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1993-01-31 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Rewriting Techniques and Applications

Author : Claude Kirchner
Publisher : Springer
ISBN 13 : 3662215519
Total Pages : 501 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Rewriting Techniques and Applications by : Claude Kirchner

Download or read book Rewriting Techniques and Applications written by Claude Kirchner and published by Springer. This book was released on 2015-03-19 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of RTA-93, the fifth International Conference on Rewriting Techniques and Applications, held in Montreal, Canada, in June 1993. The volume includes three invited lectures, "Rewrite techniques in theorem proving" (L. Bachmair), "Proving properties of typed lambda terms: realizability, covers, and sheaves" (J. Gallier), and "On some algorithmic problems for groups and monoids" (S.J. Adian), together with 29 selected papers, 6 system descriptions, and a list of open problems in the field. The papers covermany topics: term rewriting; termination; graph rewriting; constraint solving; semantic unification, disunification and combination; higher-order logics; and theorem proving, with several papers on distributed theorem proving, theorem proving with constraints and completion.

Universal Algebra

Author : Clifford Bergman
Publisher : CRC Press
ISBN 13 : 1439851301
Total Pages : 323 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Universal Algebra by : Clifford Bergman

Download or read book Universal Algebra written by Clifford Bergman and published by CRC Press. This book was released on 2011-09-20 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed to read and understand current research in this field. Based on the author's two-semester course, the text prepares students for research work by providing a solid grounding in the fundamental constructions and concepts o