Advances In Natural Deduction
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Advances In Natural Deduction
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Author : Luiz Carlos Pereira
language : en
Publisher: Springer
Release Date : 2014-07-08
Advances In Natural Deduction written by Luiz Carlos Pereira and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-08 with Philosophy categories.
This collection of papers, celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his seminal research. Dag Prawitz’s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics in Logic, Linguistics and Theoretical Computer Science. The range of contributions includes material on the extension of natural deduction with higher-order rules, as opposed to higher-order connectives, and a paper discussing the application of natural deduction rules to dealing with equality in predicate calculus. The volume continues with a key chapter summarizing work on the extension of the Curry-Howard isomorphism (itself a by-product of the work on natural deduction), via methods of category theory that have been successfully applied to linear logic, as well as many other contributions from highly regarded authorities. With an illustrious group of contributors addressing a wealth of topics and applications, this volume is a valuable addition to the libraries of academics in the multiple disciplines whose development has been given added scope by the methodologies supplied by natural deduction. The volume is representative of the rich and varied directions that Prawitz work has inspired in the area of natural deduction.
Natural Deduction The Logical Basis Of Axiom Systems
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Author : John Mueller Anderson
language : en
Publisher:
Release Date : 2013-03
Natural Deduction The Logical Basis Of Axiom Systems written by John Mueller Anderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03 with Logic, Symbolic and mathematical categories.
Natural Deduction
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Author : Dag Prawitz
language : en
Publisher:
Release Date : 1965
Natural Deduction written by Dag Prawitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Logic categories.
The Functional Interpretation Of Logical Deduction
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Author : Ruy J. G. B. de Queiroz
language : en
Publisher: World Scientific
Release Date : 2012
The Functional Interpretation Of Logical Deduction written by Ruy J. G. B. de Queiroz 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 ?enriched? 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 ?labels? is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.
Natural Deduction
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Author : John Mueller Anderson
language : en
Publisher:
Release Date : 1962
Natural Deduction written by John Mueller Anderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Model theory categories.
Advances In Proof Theoretic Semantics
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Author : Thomas Piecha
language : en
Publisher: Springer
Release Date : 2015-10-24
Advances In Proof Theoretic Semantics written by Thomas Piecha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-24 with Philosophy categories.
This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.
Natural Deduction Hybrid Systems And Modal Logics
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Author : Andrzej Indrzejczak
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-03
Natural Deduction Hybrid Systems And Modal Logics written by Andrzej Indrzejczak 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 2010-07-03 with Philosophy categories.
This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.
Natural Deduction
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Author : Frank Pfenning
language : en
Publisher:
Release Date : 1998
Natural Deduction written by Frank Pfenning and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Remarks On Descriptions And Natural Deduction
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Author : Richard Montague
language : en
Publisher:
Release Date : 1957
Remarks On Descriptions And Natural Deduction written by Richard Montague and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
Justification Logic
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Author : Sergei Artemov
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-02
Justification Logic written by Sergei Artemov 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 2019-05-02 with Mathematics categories.
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.