Books in Mathematical logic and formal languages

81-90 of 95 results in All results

The Metamathematics of Algebraic Systems

• 1st Edition
• Volume 66
• April 1, 2000
• Lev D. Beklemishev
• English
• eBook 978-0-08-095478-3

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The Theory of Semisets

• 1st Edition
• Volume 70
• April 1, 2000
• Lev D. Beklemishev
• English
• eBook 978-0-08-095481-3

  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 978-0-08-095479-0

  9 7 8 - 0 - 0 8 - 0 9 5 4 7 9 - 0

Word Problems

• 1st Edition
• Volume 71
• April 1, 2000
• Lev D. Beklemishev
• English
• eBook 978-0-08-095482-0

  9 7 8 - 0 - 0 8 - 0 9 5 4 8 2 - 0

Sets and Classes on The Work by Paul Bernays

• 1st Edition
• Volume 84
• April 1, 2000
• Lev D. Beklemishev
• English
• eBook 978-0-08-095494-3

  9 7 8 - 0 - 0 8 - 0 9 5 4 9 4 - 3

Algebra of Proofs

• 1st Edition
• Volume 88
• April 1, 2000
• Lev D. Beklemishev
• English
• eBook 978-0-08-095497-4

  9 7 8 - 0 - 0 8 - 0 9 5 4 9 7 - 4

Admissibility of Logical Inference Rules

• 1st Edition
• Volume 136
• March 14, 1997
• V.V. Rybakov
• English
• eBook 978-0-08-052599-0

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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 978-0-08-053308-7

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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.

Constraints, Language and Computation

• 1st Edition
• January 14, 1994
• M. A. Rosner + 2 more
• English
• eBook 978-0-08-050296-0

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Constraint-based linguistics is intersected by three fields: logic, linguistics, and computer sciences. The central theme that ties these different disciplines together is the notion of a linguistic formalism or metalanguage. This metalanguage has good mathematical properties, is designed to express descriptions of language, and has a semantics that can be implemented on a computer. Constraints, Language and Computation discusses the theory and practice of constraint-based computational linguistics. The book captures both the maturity of the field and some of its more interesting future prospects during a particulary important moment of development in this field.

Self-Modifying Systems in Biology and Cognitive Science

• 1st Edition
• Volume 6
• March 20, 1991
• G. Kampis
• English
• eBook 978-0-08-091239-4

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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.