Lectures On Linear Logic
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Lectures On Linear Logic
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Author : A. S. Troelstra
language : en
Publisher:
Release Date : 2000
Lectures On Linear Logic written by A. S. Troelstra 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.
Lectures On Linear Logic
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Author : Anne Sjerp Troelstra
language : en
Publisher: Center for the Study of Language and Information Publications
Release Date : 1992-05-01
Lectures On Linear Logic written by Anne Sjerp Troelstra 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 1992-05-01 with Mathematics categories.
The initial sections of this text deal with syntactical matters such as logical formalism, cut-elimination, and the embedding of intuitionistic logic in classical linear logic. Concluding chapters focus on proofnets for the multiplicative fragment and the algorithmic interpretation of cut-elimination in proofnets.
Lectures On Linear Logic
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Author : A. S. Troelstra
language : en
Publisher:
Release Date : 1990
Lectures On Linear Logic written by A. S. Troelstra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Linear Logic In Computer Science
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Author : Thomas Ehrhard
language : en
Publisher: Cambridge University Press
Release Date : 2004-11-15
Linear Logic In Computer Science written by Thomas Ehrhard 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 2004-11-15 with Computers categories.
This book illustrates linear logic in the application of proof theory to computer science.
Advances In Linear Logic
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Author : Jean-Yves Girard
language : en
Publisher: Cambridge University Press
Release Date : 1995-06-22
Advances In Linear Logic written by Jean-Yves Girard 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 1995-06-22 with Mathematics categories.
This volume gives an overview of linear logic that will be useful to mathematicians and computer scientists working in this area.
The Blind Spot
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Author : Jean-Yves Girard
language : en
Publisher: European Mathematical Society
Release Date : 2011
The Blind Spot written by Jean-Yves Girard and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Logic categories.
These lectures on logic, more specifically proof theory, are basically intended for postgraduate students and researchers in logic. The question at stake is the nature of mathematical knowledge and the difference between a question and an answer, i.e., the implicit and the explicit. The problem is delicate mathematically and philosophically as well: the relation between a question and its answer is a sort of equality where one side is ``more equal than the other'': one thus discovers essentialist blind spots. Starting with Godel's paradox (1931)--so to speak, the incompleteness of answers with respect to questions--the book proceeds with paradigms inherited from Gentzen's cut-elimination (1935). Various settings are studied: sequent calculus, natural deduction, lambda calculi, category-theoretic composition, up to geometry of interaction (GoI), all devoted to explicitation, which eventually amounts to inverting an operator in a von Neumann algebra. Mathematical language is usually described as referring to a preexisting reality. Logical operations can be given an alternative procedural meaning: typically, the operators involved in GoI are invertible, not because they are constructed according to the book, but because logical rules are those ensuring invertibility. Similarly, the durability of truth should not be taken for granted: one should distinguish between imperfect (perennial) and perfect modes. The procedural explanation of the infinite thus identifies it with the unfinished, i.e., the perennial. But is perenniality perennial? This questioning yields a possible logical explanation for algorithmic complexity. This highly original course on logic by one of the world's leading proof theorists challenges mathematicians, computer scientists, physicists, and philosophers to rethink their views and concepts on the nature of mathematical knowledge in an exceptionally profound way.
The Essentials Of Logic Being Ten Lectures On Judgment And Inference
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Author : Bernard Bosanquet
language : en
Publisher:
Release Date : 1895
The Essentials Of Logic Being Ten Lectures On Judgment And Inference written by Bernard Bosanquet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Judgment categories.
The Essentials Of Logic Being Ten Lectures On Judgment And Inference
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Author : Bernard Bosanquet
language : en
Publisher:
Release Date : 1999
The Essentials Of Logic Being Ten Lectures On Judgment And Inference written by Bernard Bosanquet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Logic categories.
Popular Lectures On Mathematical Logic
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Author : Hao Wang
language : en
Publisher: Courier Corporation
Release Date : 1993-01-01
Popular Lectures On Mathematical Logic written by Hao Wang and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.
Introduction To Logic Second Edition
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Author : Genesereth Michael
language : en
Publisher: Springer Nature
Release Date : 2013-08-16
Introduction To Logic Second Edition written by Genesereth Michael and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-16 with Mathematics categories.
This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. The approach to teaching logic used here emerged from more than 20 years of teaching logic to students at Stanford University and from teaching logic to tens of thousands of others via online courses on the World Wide Web. The approach differs from that taken by other books in logic in two essential ways, one having to do with content, the other with form. Like many other books on logic, this one covers logical syntax and semantics and proof theory plus induction. However, unlike other books, this book begins with Herbrand semantics rather than the more traditional Tarskian semantics. This approach makes the material considerably easier for students to understand and leaves them with a deeper understanding of what logic is all about. In addition to this text, there are online exercises (with automated grading), online logic tools and applications, online videos of lectures, and an online forum for discussion. They are available at logic.stanford.edu/intrologic/
