Extensional G Del Functional Interpretation

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Extensional G Del Functional Interpretation

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Author : Horst Luckhardt
language : en
Publisher: Springer
Release Date : 2006-11-15

Extensional G Del Functional Interpretation written by Horst Luckhardt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

The Functional Interpretation Of Logical Deduction

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Author : Anjolina G. de Oliveira
language : en
Publisher: World Scientific
Release Date : 2012

The Functional Interpretation Of Logical Deduction written by Anjolina G. de Oliveira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.

This comprehensive book provides an adequate framework to establish various calculi of logical inference. Being an OCyenrichedOCO system of natural deduction, it helps to formulate logical calculi in an operational manner. By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, it allows mathematical foundations for systems of logic presentation designed to handle meta-level features at the object-level via a labelling mechanism, such as the D Gabbay's Labelled Deductive Systems. The book truly demonstrates that introducing OCylabelsOCO is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.

Computational Semantics With Functional Programming

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Author : Jan van Eijck
language : en
Publisher: Cambridge University Press
Release Date : 2010-09-23

Computational Semantics With Functional Programming written by Jan van Eijck and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-23 with Language Arts & Disciplines categories.

Computational semantics is the art and science of computing meaning in natural language. The meaning of a sentence is derived from the meanings of the individual words in it, and this process can be made so precise that it can be implemented on a computer. Designed for students of linguistics, computer science, logic and philosophy, this comprehensive text shows how to compute meaning using the functional programming language Haskell. It deals with both denotational meaning (where meaning comes from knowing the conditions of truth in situations), and operational meaning (where meaning is an instruction for performing cognitive action). Including a discussion of recent developments in logic, it will be invaluable to linguistics students wanting to apply logic to their studies, logic students wishing to learn how their subject can be applied to linguistics, and functional programmers interested in natural language processing as a new application area.

Extensional Constructs In Intensional Type Theory

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Author : Martin Hofmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Extensional Constructs In Intensional Type Theory written by Martin Hofmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.

Extensional Constructs in Intensional Type Theory presents a novel approach to the treatment of equality in Martin-Loef type theory (a basis for important work in mechanised mathematics and program verification). Martin Hofmann attempts to reconcile the two different ways that type theories deal with identity types. The book will be of interest particularly to researchers with mainly theoretical interests and implementors of type theory based proof assistants, and also fourth year undergraduates who will find it useful as part of an advanced course on type theory.

Flexibility Principles In Boolean Semantics

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Author : Yoad Winter
language : en
Publisher: MIT Press
Release Date : 2002-02-01

Flexibility Principles In Boolean Semantics written by Yoad Winter and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-01 with Language Arts & Disciplines categories.

An investigation of the logical flexibility principles needed for a formal semantic account of coordination, plurality, and scope in natural language. Since the early work of Montague, Boolean semantics and its subfield of generalized quantifier theory have become the model-theoretic foundation for the study of meaning in natural languages. This book uses this framework to develop a new semantic theory of central linguistic phenomena involving coordination, plurality, and scope. The proposed theory makes use of the standard Boolean interpretation of conjunction, a choice-function account of indefinites, and a novel semantics of plurals that is not based on the distributive/collective distinction. The key to unifying these mechanisms is a version of Montagovian semantics that is augmented by flexibility principles: semantic operations that have no counterpart in phonology. This is the first book to cover these areas in a way that is both linguistically comprehensive and formally explicit. On one hand, it addresses questions of primarily linguistic concern: the semantic functions of words like and and or in different languages, the interpretation of indefinites and their scope, and the semantic typology of noun phrases and predicates. On the other hand, it addresses formal questions that are motivated by the treatment of these linguistic problems: the use of Boolean algebras in linguistics, the proper formalization of choice functions within generalized quantifier theory, and the extension of this theory to the domain of plurality. While primarily intended for readers with a background in theoretical linguistics, the book will also be of interest to researchers and advanced students in logic, computational linguistics, philosophy of language, and artificial intelligence.

Logic Colloquium 2007

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Author : Françoise Delon
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-07

Logic Colloquium 2007 written by Françoise Delon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-07 with Mathematics categories.

The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium 2007, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world. This volume covers many areas of contemporary logic: model theory, proof theory, set theory, and computer science, as well as philosophical logic, including tutorials on cardinal arithmetic, on Pillay's conjecture, and on automatic structures. This volume will be invaluable for experts as well as those interested in an overview of central contemporary themes in mathematical logic.

Kurt G Del And The Foundations Of Mathematics

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Author : Matthias Baaz
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-06

Kurt G Del And The Foundations Of Mathematics written by Matthias Baaz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-06 with Mathematics categories.

This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.

Foundations Of Intensional Semantics

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Author : Chris Fox
language : en
Publisher: John Wiley & Sons
Release Date : 2008-04-15

Foundations Of Intensional Semantics written by Chris Fox and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-15 with Language Arts & Disciplines categories.

This book provides a systematic study of three foundational issues in the semantics of natural language that have been relatively neglected in the past few decades. focuses on the formal characterization of intensions, the nature of an adequate type system for natural language semantics, and the formal power of the semantic representation language proposes a theory that offers a promising framework for developing a computational semantic system sufficiently expressive to capture the properties of natural language meaning while remaining computationally tractable written by two leading researchers and of interest to students and researchers in formal semantics, computational linguistics, logic, artificial intelligence, and the philosophy of language

Structure Function Analysis Of Edible Fats

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Author : Alejandro G. Marangoni
language : en
Publisher: Elsevier
Release Date : 2018-06-11

Structure Function Analysis Of Edible Fats written by Alejandro G. Marangoni and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-11 with Technology & Engineering categories.

Structure-Function Analysis of Edible Fats, Second Edition summarizes the latest approaches in the quantification of the physical structure of fats and its relationship to macroscopic functionality. The book takes a proven, general approach, presenting principles and techniques in a way that can be applied to any lipidic material. As the maturity of the field has increased since the first edition, there is an increased need for more sophisticated quantitative approaches to common problems encountered by industry. This book outlines modern methods used for this purpose by some of the leading authorities in the field today. Edited by expert Alejandro Marangoni, and with contributions from leaders in field, the book features the latest developments, including chapters on Phase Behavior of Fat Mixtures and the Rheology and Mechanical Properties of Fats Methods Used in the Study of the Physical Properties of Fats (including a new section on microscopy). - Fully revised and updated with 30% new content, including new chapters on Phase Behavior of Fat Mixtures, Rheology and Mechanical Properties of Fats, and Methods Used in the Study of the Physical Properties of Fats - Includes a new section on microscopy - Presents the principles behind X-ray diffraction, crystallization theory, and the mechanics of fats - Provides theory for foundational understanding, examples for real-world insight, and tips for improving applied results

Digital And The Real World The Computational Foundations Of Mathematics Science Technology And Philosophy

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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2017-11-17

Digital And The Real World The Computational Foundations Of Mathematics Science Technology And Philosophy written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Mathematics categories.

In the 21st century, digitalization is a global challenge of mankind. Even for the public, it is obvious that our world is increasingly dominated by powerful algorithms and big data. But, how computable is our world? Some people believe that successful problem solving in science, technology, and economies only depends on fast algorithms and data mining. Chances and risks are often not understood, because the foundations of algorithms and information systems are not studied rigorously. Actually, they are deeply rooted in logics, mathematics, computer science and philosophy.Therefore, this book studies the foundations of mathematics, computer science, and philosophy, in order to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, in order to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT).