Books in Mathematical logic and formal languages

Books Journals

An Algebraic Approach to Non-Classical Logics

1st Edition
Volume 78
April 1, 2000
Lev D. Beklemishev
English
eBook
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The Metamathematics of Algebraic Systems

1st Edition
Volume 66
April 1, 2000
Lev D. Beklemishev
English
eBook
9 7 8 0 0 8 0 9 5 4 7 8 3

The Theory of Semisets

1st Edition
Volume 70
April 1, 2000
Lev D. Beklemishev
English
eBook
9 7 8 0 0 8 0 9 5 4 8 1 3

Truth, Syntax and Modality

1st Edition
Volume 68
April 1, 2000
Lev D. Beklemishev
English
eBook
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Word Problems

1st Edition
Volume 71
April 1, 2000
Lev D. Beklemishev
English
eBook
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Sets and Classes on The Work by Paul Bernays

1st Edition
Volume 84
April 1, 2000
Lev D. Beklemishev
English
eBook
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Algebra of Proofs

1st Edition
Volume 88
April 1, 2000
Lev D. Beklemishev
English
eBook
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Admissibility of Logical Inference Rules

1st Edition
Volume 136
March 14, 1997
V.V. Rybakov
English
eBook
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The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is focused on:• admissible or permissible inference rules• the derivability of the admissible inference rules• the structural completeness of logics• the bases for admissible and valid inference rules.There is particular emphasis on propositional non-standard logics (primary, superintuitionistic and modal logics) but general logical consequence relations and classical first-order theories are also considered.The book is basically self-contained and special attention has been made to present the material in a convenient manner for the reader. Proofs of results, many of which are not readily available elsewhere, are also included.The book is written at a level appropriate for first-year graduate students in mathematics or computer science. Although some knowledge of elementary logic and universal algebra are necessary, the first chapter includes all the results from universal algebra and logic that the reader needs. For graduate students in mathematics and computer science the book is an excellent textbook.

Handbook of Logic and Language

1st Edition
December 11, 1996
J. van Benthem + 1 more
English
eBook
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This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science.The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as Kazimierz Ajdukiewicz. Around 1970, the landmark achievements of Richard Montague established a junction between state-of-the-art mathematical logic and generative linguistic theory. Over the subsequent decades, this enterprise of Montague Grammar has flourished and diversified into a number of research programs with empirical and theoretical substance.This appears to be the first Handbook to bring logic-language interface to the fore. Both aspects of the interaction between logic and language are demonstrated in the book i.e. firstly, how logical systems are designed and modified in response to linguistic needs and secondly, how mathematical theory arises in this process and how it affects subsequent linguistic theory.The Handbook presents concise, impartial accounts of the topics covered. Where possible, an author and a commentator have cooperated to ensure the proper breadth and technical content of the papers.The Handbook is self-contained, and individual articles are of the highest quality.

Self-Modifying Systems in Biology and Cognitive Science

1st Edition
Volume 6
March 20, 1991
G. Kampis
English
eBook
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The theme of this book is the self-generation of information by the self-modification of systems. The author explains why biological and cognitive processes exhibit identity changes in the mathematical and logical sense. This concept is the basis of a new organizational principle which utilizes shifts of the internal semantic relations in systems. There are mathematical discussions of various classes of systems (Turing machines, input-output systems, synergetic systems, non-linear dynamics etc), which are contrasted with the author's new principle. The most important implications of this include a new conception on the nature of information and which also provides a new and coherent conceptual view of a wide class of natural systems. This book merits the attention of all philosophers and scientists concerned with the way we create reality in our mathematical representations of the world and the connection those representations have with the way things really are.

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