A Short Introduction To Intuitionistic Logic
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A Short Introduction To Intuitionistic Logic
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Author : Grigori Mints
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-20
A Short Introduction To Intuitionistic Logic written by Grigori Mints 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 2005-12-20 with Mathematics categories.
Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs. to make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic. This material provides an introduction and a safe background for reading research literature in logic and computer science as well as advanced monographs. Readers are assumed to be familiar with basic notions of first order logic. One device for making this book short was inventing new proofs of several theorems. The presentation is based on natural deduction. The topics include programming interpretation of intuitionistic logic by simply typed lambda-calculus (Curry-Howard isomorphism), negative translation of classical into intuitionistic logic, normalization of natural deductions, applications to category theory, Kripke models, algebraic and topological semantics, proof-search methods, interpolation theorem. The text developed from materal for several courses taught at Stanford University in 1992-1999.
A Short Introduction To Intuitionistic Logic
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Author : Grigori Mints
language : en
Publisher:
Release Date : 2000
A Short Introduction To Intuitionistic Logic written by Grigori Mints and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Mathematical Intuitionism Introduction To Proof Theory
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Author : Al'bert Grigor'evi_ Dragalin
language : en
Publisher: American Mathematical Soc.
Release Date : 1988-12-31
Mathematical Intuitionism Introduction To Proof Theory written by Al'bert Grigor'evi_ Dragalin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-31 with Mathematics categories.
In the area of mathematical logic, a great deal of attention is now being devoted to the study of nonclassical logics. This book intends to present the most important methods of proof theory in intuitionistic logic and to acquaint the reader with the principal axiomatic theories based on intuitionistic logic.
Intuitionism
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Author : Arend Heyting
language : en
Publisher: Elsevier
Release Date : 1966
Intuitionism written by Arend Heyting and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Electronic books categories.
Mathematical Intuitionism
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Author : Alʹbert Grigorʹevich Dragalin
language : en
Publisher:
Release Date : 1988
Mathematical Intuitionism written by Alʹbert Grigorʹevich Dragalin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Intuitionistic mathematics categories.
This monograph is intended to present the most important methods of proof theory in intuitionistic logic, assuming the reader to have mastered an introductory course in mathematical logic. The book starts with purely syntactical methods based on Gentzen's cut-elimination theorem, followed by intuitionistic arithmetic where Kleene's realizability method plays a central role. The author then studies algebraic models and completeness theorems for them. After giving a survey on the principles of intuitionistic analysis, the last part of the book presents the cut-elimination theorem in intuitionist.
Elements Of Intuitionism
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Author : Michael Dummett
language : en
Publisher: Oxford University Press
Release Date : 2000
Elements Of Intuitionism written by Michael Dummett and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an informal but thorough introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics has been completely revised for this second edition. Brouwer's proof of the Bar Theorem has been reworked, the account of valuation systems simplified, and the treatment of generalized Beth Trees and the completeness of intuitionistic first-order logic rewritten. Readers are assumed to have some knowledge of classical formal logic and a general awareness of the history of intuitionism.
Short Introduction To Modal Logic
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Author : Grigori Mints
language : en
Publisher: Center for the Study of Language and Information Publications
Release Date : 1992-06-01
Short Introduction To Modal Logic written by Grigori Mints and has been published by Center for the Study of Language and Information Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-01 with Mathematics categories.
Modal Logic can be characterized as the logic of necessity and possibility, of 'must be' and 'may be'. A Short Introduction to Modal Logic presents both semantic and syntactic features of the subject and illustrates them by detailed analyses of the three best-known modal systems S5, S4 and T. The book concentrates on the logical aspects of the subject and provides philosophical motivations to show the point of the formal work. The coverage is self-contained, including a summary of the necessary aspects of classical logic which it presupposes. A set of exercises is included in the final chapter.
Intuitionism
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Author : Arend Heyting
language : en
Publisher:
Release Date : 1956
Intuitionism written by Arend Heyting and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Intuitionistic mathematics categories.
Intuitionistic Set Theory
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Author : John L. Bell
language : en
Publisher:
Release Date : 2014-02-28
Intuitionistic Set Theory written by John L. Bell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-28 with Mathematics categories.
While intuitionistic (or constructive) set theory IST has received a certain attention from mathematical logicians, so far as I am aware no book providing a systematic introduction to the subject has yet been published. This may be the case in part because, as a form of higher-order intuitionistic logic - the internal logic of a topos - IST has been chiefly developed in a tops-theoretic context. In particular, proofs of relative consistency with IST for mathematical assertions have been (implicitly) formulated in topos- or sheaf-theoretic terms, rather than in the framework of Heyting-algebra-valued models, the natural extension to IST of the well-known Boolean-valued models for classical set theory. In this book I offer a brief but systematic introduction to IST which develops the subject up to and including the use of Heyting-algebra-valued models in relative consistency proofs. I believe that IST, presented as it is in the familiar language of set theory, will appeal particularly to those logicians, mathematicians and philosophers who are unacquainted with the methods of topos theory.
Some Lectures On Intuitionistic Logic
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Author : Anil Nerode
language : en
Publisher:
Release Date : 1989
Some Lectures On Intuitionistic Logic written by Anil Nerode and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Intuitionistic mathematics categories.
