Recent Advances in the Representation Theory of Rings and $C^\ast $-Algebras by Continuous Sections

Recent Advances in the Representation Theory of Rings and $C^\ast $-Algebras by Continuous Sections
Title Recent Advances in the Representation Theory of Rings and $C^\ast $-Algebras by Continuous Sections PDF eBook
Author John R. Liukkonen
Publisher American Mathematical Soc.
Pages 194
Release 1974
Genre Mathematics
ISBN 0821818481

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From March 20 through April 5, 1973, the Mathematics Department of Tulane University organized a seminar on recent progress made in the general theory of the representation of rings and topological algebras by continuous sections in sheaves and bundles. The seminar was divided into two main sections: one concerned with sheaf representation, the other with bundle representation. The first was concerned with ringed spaces, applications to logic, universal algebra and lattice theory. The second was almost exclusively devoted to C*-algebra and Hilbert space bundles or closely related material. This collection represents the majority of the papers presented by seminar participants, with the addition of three papers which were presented by title.

Mathematical Foundations of Programming Language Semantics

Mathematical Foundations of Programming Language Semantics
Title Mathematical Foundations of Programming Language Semantics PDF eBook
Author Michael Main
Publisher Springer Science & Business Media
Pages 652
Release 1988-03-09
Genre Mathematics
ISBN 9783540190202

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This volume is the proceedings of the 3rd Workshop on the Mathematical Foundations of Programming Language Semantics held at Tulane University, New Orleans, Louisiana, April 8-10, 1987. The 1st Workshop was at Kansas State University, Manhattan, Kansas in April, 1985 (see LNCS 239), and the 2nd Workshop with a limited number of participants was at Kansas State in April, 1986. It was the intention of the organizers that the 3rd Workshop survey as many areas of the Mathematical Foundations of Programming Language Semantics as reasonably possible. The Workshop attracted 49 submitted papers, from which 28 papers were chosen for presentation. The papers ranged in subject from category theory and Lambda-calculus to the structure theory of domains and power domains, to implementation issues surrounding semantics.

Logic, Language, and Mathematics

Logic, Language, and Mathematics
Title Logic, Language, and Mathematics PDF eBook
Author Alexander Miller
Publisher
Pages 465
Release 2020
Genre Mathematics
ISBN 0199278342

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Crispin Wright is widely recognised as one of the most influential analytic philosophers of his generation. This volume collects essays which explore the major themes of his work in philosophy of language, philosophy of mathematics, metaphysics, and epistemology, along with four substantial responses from Wright.

Current Issues in Mathematical Linguistics

Current Issues in Mathematical Linguistics
Title Current Issues in Mathematical Linguistics PDF eBook
Author C. Martín-Vide
Publisher Elsevier
Pages 480
Release 2014-06-28
Genre Mathematics
ISBN 1483294722

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The present volume contains some selected topics of current interest around the world in the mathematical analysis of natural language. The book is divided into four sections:- analytical algebraic models- models from the theory of formal grammars and automata, with interest mainly in syntax- model-theoretic concepts in semantics or pragmatics, and- a final section containing some applications in computational linguistics.The varied perspectives illustrated in the book confirm that Mathematical Linguistics has finally introduced scientific methods into a previously fuzzy field, through the use of mathematical reasoning. The text will contribute to a fruitful convergence between linguists, mathematicians, logicians, computer scientists, cognitive scientists and others interested in the formal treatment of natural language and the research of its properties.

Fuzzy Logic of Quasi-Truth: An Algebraic Treatment

Fuzzy Logic of Quasi-Truth: An Algebraic Treatment
Title Fuzzy Logic of Quasi-Truth: An Algebraic Treatment PDF eBook
Author Antonio Di Nola
Publisher Springer
Pages 118
Release 2016-03-18
Genre Technology & Engineering
ISBN 3319304062

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This book presents the first algebraic treatment of quasi-truth fuzzy logic and covers the algebraic foundations of many-valued logic. It offers a comprehensive account of basic techniques and reports on important results showing the pivotal role played by perfect many-valued algebras (MV-algebras). It is well known that the first-order predicate Łukasiewicz logic is not complete with respect to the canonical set of truth values. However, it is complete with respect to all linearly ordered MV –algebras. As there are no simple linearly ordered MV-algebras in this case, infinitesimal elements of an MV-algebra are allowed to be truth values. The book presents perfect algebras as an interesting subclass of local MV-algebras and provides readers with the necessary knowledge and tools for formalizing the fuzzy concept of quasi true and quasi false. All basic concepts are introduced in detail to promote a better understanding of the more complex ones. It is an advanced and inspiring reference-guide for graduate students and researchers in the field of non-classical many-valued logics.

Language and Automata Theory and Applications

Language and Automata Theory and Applications
Title Language and Automata Theory and Applications PDF eBook
Author Adrian-Horia Dediu
Publisher Springer Science & Business Media
Pages 524
Release 2011-05-19
Genre Computers
ISBN 3642212530

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This book constitutes the refereed proceedings of the 5th International Conference on Language and Automata Theory and Applications, LATA 2011, held in Tarragona, Spain in May 2011. The 36 revised full papers presented together with four invited articles were carefully selected from 91 submissions. Among the topics covered are algebraic language theory, automata and logic, systems analysis, systems verifications, computational complexity, decidability, unification, graph transformations, language-based cryptography, and applications in data mining, computational learning, and pattern recognition.

Logic, Language, Information, and Computation

Logic, Language, Information, and Computation
Title Logic, Language, Information, and Computation PDF eBook
Author Valeria de Paiva
Publisher Springer
Pages 219
Release 2015-06-28
Genre Mathematics
ISBN 3662477092

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Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 22nd Workshop on Logic, Language, Information and Computation, WoLLIC 2015, held in the campus of Indiana University, Bloomington, IN, USA in July 2015. The 14 contributed papers, presented together with 8 invited lectures and 4 tutorials, were carefully reviewed and selected from 44 submissions. The focus of the workshop was on interdisciplinary research involving formal logic, computing and programming theory, and natural language and reasoning.