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Author : Vladimir I︠U︡. Shavrukov
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.3/5 (121 download)
Download or read book Subalgebras of Diagonalizable Algebras of Theories Containing Arithmetic written by Vladimir I︠U︡. Shavrukov and published by . This book was released on 1993 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir J. Šavrukov
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (833 download)
Download or read book Subalgebras of diagonalizable algebras of theories containing arithmetic written by Vladimir J. Šavrukov and published by . This book was released on 1993 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Yurievich Shavrukov
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (897 download)
Download or read book Subalgebras of Diagonalizable Algebras of Theories Containing Arithmetic written by Vladimir Yurievich Shavrukov and published by . This book was released on 1991 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Yurievich Shavrukov
Publisher :
ISBN 13 :
Total Pages : 115 pages
Book Rating : 4.:/5 (897 download)
Download or read book Subalgebras of Diagonizable Algebras of Theories Containing Arithmetic written by Vladimir Yurievich Shavrukov and published by . This book was released on 1991 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abraham Adrian Albert
Publisher : American Mathematical Soc.
ISBN 13 : 0821810243
Total Pages : 224 pages
Book Rating : 4.8/5 (218 download)
Download or read book Structure of Algebras written by Abraham Adrian Albert and published by American Mathematical Soc.. This book was released on 1939-12-31 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first three chapters of this work contain an exposition of the Wedderburn structure theorems. Chapter IV contains the theory of the commutator subalgebra of a simple subalgebra of a normal simple algebra, the study of automorphisms of a simple algebra, splitting fields, and the index reduction factor theory. The fifth chapter contains the foundation of the theory of crossed products and of their special case, cyclic algebras. The theory of exponents is derived there as well as the consequent factorization of normal division algebras into direct factors of prime-power degree. Chapter VI consists of the study of the abelian group of cyclic systems which is applied in Chapter VII to yield the theory of the structure of direct products of cyclic algebras and the consequent properties of norms in cyclic fields. This chapter is closed with the theory of $p$-algebras. In Chapter VIII an exposition is given of the theory of the representations of algebras. The treatment is somewhat novel in that while the recent expositions have used representation theorems to obtain a number of results on algebras, here the theorems on algebras are themselves used in the derivation of results on representations. The presentation has its inspiration in the author's work on the theory of Riemann matrices and is concluded by the introduction to the generalization (by H. Weyl and the author) of that theory. The theory of involutorial simple algebras is derived in Chapter X both for algebras over general fields and over the rational field. The results are also applied in the determination of the structure of the multiplication algebras of all generalized Riemann matrices, a result which is seen in Chapter XI to imply a complete solution of the principal problem on Riemann matrices.
Author : Aldo Ursini
Publisher : Routledge
ISBN 13 : 1351434721
Total Pages : 728 pages
Book Rating : 4.3/5 (514 download)
Download or read book Logic and Algebra written by Aldo Ursini and published by Routledge. This book was released on 2017-10-05 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Attempts to unite the fields of mathematical logic and general algebra. Presents a collection of refereed papers inspired by the International Conference on Logic and Algebra held in Siena, Italy, in honor of the late Italian mathematician Roberto Magari, a leading force in the blossoming of research in mathematical logic in Italy since the 1960s.
Author : D.M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 1402035217
Total Pages : 371 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Philosophical Logic written by D.M. Gabbay and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ninth volume of the Second Edition contains major contributions on Rewriting Logic as a Logical and Semantic Framework, Logical Frameworks, Proof Theory and Meaning, Goal Directed Deductions, Negations, Completeness and Consistency as well as Logic as General Rationality. Audience: Students and researchers whose work or interests involve philosophical logic and its applications.
Author : Dov M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 038731072X
Total Pages : 369 pages
Book Rating : 4.3/5 (873 download)
Download or read book Mathematical Problems from Applied Logic I written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2006-07-02 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an overview of the current state of knowledge along with open problems and perspectives, clarified in such fields as non-standard inferences in description logics, logic of provability, logical dynamics and computability theory. The book includes contributions concerning the role of logic today, including unexpected aspects of contemporary logic and the application of logic. This book will be of interest to logicians and mathematicians in general.
Author : Nick Bezhanishvili
Publisher : Springer Nature
ISBN 13 : 3031479211
Total Pages : 386 pages
Book Rating : 4.0/5 (314 download)
Download or read book Dick de Jongh on Intuitionistic and Provability Logics written by Nick Bezhanishvili and published by Springer Nature. This book was released on with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Per Lindström
Publisher : Cambridge University Press
ISBN 13 : 1107167922
Total Pages : 143 pages
Book Rating : 4.1/5 (71 download)
Download or read book Aspects of Incompleteness written by Per Lindström and published by Cambridge University Press. This book was released on 2017-03-02 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the main areas and results of general metamathematics, including the results of Gödel et al. on incompleteness.
Author : Petr Hájek
Publisher : Cambridge University Press
ISBN 13 : 1107168023
Total Pages : 331 pages
Book Rating : 4.1/5 (71 download)
Download or read book Gödel '96 written by Petr Hájek and published by Cambridge University Press. This book was released on 2017-03-02 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the conference 'Logical Foundations of Mathematics, Computer Science, and Physics - Kurt Gödel's Legacy', held in Brno, Czech Republic, on the 90th anniversary of Gödel's birth. The papers in this volume cover the wide range of topics Gödel's work touched, and affirm its continuing importance.
Author : Dov M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 9401704546
Total Pages : 423 pages
Book Rating : 4.4/5 (17 download)
Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic artiele in the Encyelopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook 0/ Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook 0/ Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence cireles. These areas were under increasing commercial press ure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.
Author : Silvio Ghilardi
Publisher : Springer Science & Business Media
ISBN 13 : 940159936X
Total Pages : 246 pages
Book Rating : 4.4/5 (15 download)
Download or read book Sheaves, Games, and Model Completions written by Silvio Ghilardi and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an example of fruitful interaction between (non-classical) propo sitionallogics and (classical) model theory which was made possible due to categorical logic. Its main aim consists in investigating the existence of model completions for equational theories arising from propositional logics (such as the theory of Heyting algebras and various kinds of theories related to proposi tional modal logic ). The existence of model-completions turns out to be related to proof-theoretic facts concerning interpretability of second order propositional logic into ordinary propositional logic through the so-called 'Pitts' quantifiers' or 'bisimulation quantifiers'. On the other hand, the book develops a large number of topics concerning the categorical structure of finitely presented al gebras, with related applications to propositional logics, both standard (like Beth's theorems) and new (like effectiveness of internal equivalence relations, projectivity and definability of dual connectives such as difference). A special emphasis is put on sheaf representation, showing that much of the nice categor ical structure of finitely presented algebras is in fact only a restriction of natural structure in sheaves. Applications to the theory of classifying toposes are also covered, yielding new examples. The book has to be considered mainly as a research book, reporting recent and often completely new results in the field; we believe it can also be fruitfully used as a complementary book for graduate courses in categorical and algebraic logic, universal algebra, model theory, and non-classical logics. 1.
Author : Domenico Zambella
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (66 download)
Download or read book Shavrukov's Theorem on the Subalgebras of Diagonalizable Algebras for Theories Containing IDElta0+EXP written by Domenico Zambella and published by . This book was released on 1992 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 748 pages
Book Rating : 4.3/5 (91 download)
Download or read book Dissertationes Mathematicae written by and published by . This book was released on 1966 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Domenico Zambella
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (14 download)
Download or read book Shavrukov's theorem on the subalgebras of diagonalizable algebras for theories containing I-DeltaNull+EXP written by Domenico Zambella and published by . This book was released on 1992 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S.R. Buss
Publisher : Elsevier
ISBN 13 : 0080533183
Total Pages : 823 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Proof Theory written by S.R. Buss and published by Elsevier. This book was released on 1998-07-09 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth. The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.
