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.
On Intuitionistic Linear Logic
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Author : G. M. Bierman
language : en
Publisher:
Release Date : 1994
On Intuitionistic Linear Logic written by G. M. Bierman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Logic, Symbolic and mathematical categories.
Logical Foundations Of Computer Science
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Author : S. I. Adi︠a︡n
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-05-28
Logical Foundations Of Computer Science written by S. I. Adi︠a︡n 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 1997-05-28 with Computers categories.
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. Equal emphasis is placed on numerical and theoretical matters. Several concrete applications are made to illustrate the method. These applications include (1) Ginzburg-Landau functionals of superconductivity, (2) problems of transonic flow in which type depends locally on nonlinearities, and (3) minimal surface problems. Sobolev gradient constructions rely on a study of orthogonal projections onto graphs of closed densely defined linear transformations from one Hilbert space to another. These developments use work of Weyl, von Neumann and Beurling.
Lectures On Logic And Computation
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Author : Nick Bezhanishvili
language : en
Publisher: Springer
Release Date : 2012-06-23
Lectures On Logic And Computation written by Nick Bezhanishvili and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-23 with Computers categories.
The European Summer School in Logic, Language and Information (ESSLLI) is organized every year by the Association for Logic, Language and Information (FoLLI) in different sites around Europe. The main focus of ESSLLI is on the interface between linguistics, logic and computation. ESSLLI offers foundational, introductory and advanced courses, as well as workshops, covering a wide variety of topics within the three areas of interest: Language and Computation, Language and Logic, and Logic and Computation. During two weeks, around 50 courses and 10 workshops are offered to the attendants, each of 1.5 hours per day during a five days week, with up to seven parallel sessions. ESSLLI also includes a student session (papers and posters by students only, 1.5 hour per day during the two weeks) and four evening lectures by senior scientists in the covered areas. The 6 course notes were carefully reviewed and selected. The papers are organized in topical sections on computational complexity, multi-agant systems, natural language processing, strategies in games and formal semantics.
An Introduction To Substructural Logics
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Author : Greg Restall
language : en
Publisher: Routledge
Release Date : 2002-09-11
An Introduction To Substructural Logics written by Greg Restall and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Philosophy categories.
This book introduces an important group of logics that have come to be known under the umbrella term 'susbstructural'. Substructural logics have independently led to significant developments in philosophy, computing and linguistics. An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of fields.The following topics are covered: * Proof Theory * Propositional Structures * Frames * Decidability * Coda Both students and professors of philosophy, computing, linguistics, and mathematics will find this to be an important addition to their reading.
Lectures On The Curry Howard Isomorphism
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Author : Morten Heine Sørensen
language : en
Publisher: Elsevier
Release Date : 2006-07-04
Lectures On The Curry Howard Isomorphism written by Morten Heine Sørensen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-04 with Mathematics categories.
The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance,minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic types, sequent calculus is related to explicit substitution, etc.The isomorphism has many aspects, even at the syntactic level:formulas correspond to types, proofs correspond to terms, provability corresponds to inhabitation, proof normalization corresponds to term reduction, etc.But there is more to the isomorphism than this. For instance, it is an old idea---due to Brouwer, Kolmogorov, and Heyting---that a constructive proof of an implication is a procedure that transformsproofs of the antecedent into proofs of the succedent; the Curry-Howard isomorphism gives syntactic representations of such procedures. The Curry-Howard isomorphism also provides theoretical foundations for many modern proof-assistant systems (e.g. Coq).This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic.Key features- The Curry-Howard Isomorphism treated as common theme- Reader-friendly introduction to two complementary subjects: Lambda-calculus and constructive logics- Thorough study of the connection between calculi and logics- Elaborate study of classical logics and control operators- Account of dialogue games for classical and intuitionistic logic- Theoretical foundations of computer-assisted reasoning· The Curry-Howard Isomorphism treated as the common theme.· Reader-friendly introduction to two complementary subjects: lambda-calculus and constructive logics · Thorough study of the connection between calculi and logics.· Elaborate study of classical logics and control operators.· Account of dialogue games for classical and intuitionistic logic.· Theoretical foundations of computer-assisted reasoning
Lexical Matters
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Author : Anna Szabolcsi
language : en
Publisher: Center for the Study of Language (CSLI)
Release Date : 1992-06
Lexical Matters written by Anna Szabolcsi and has been published by Center for the Study of Language (CSLI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06 with Foreign Language Study categories.
This volume contains new research on the lexicon and its relation to other aspects of linguistics. These essays put forth empirical arguments to claim that specific theoretical assumptions concerning the lexicon play a crucial role in resolving problems pertaining to other components of grammar. Topics include: syntactic/semantic interface in the areas of aspect, argument structure, and thematic roles; lexicon-based accounts of quirky case, anaphora, and control; the boundary between the lexicon and syntax in the domains of sentence comprehension and nominal compounding; and the possibility of extending the concept of blocking beyond the traditional lexicon. Ivan Sag is a professor of linguistics at Stanford University. Anna Szabolcsi is an associate professor of linglustics at UCLA.
Basic Proof Theory
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Author : A. S. Troelstra
language : en
Publisher: Cambridge University Press
Release Date : 2000-07-27
Basic Proof Theory written by A. S. Troelstra 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 2000-07-27 with Computers categories.
This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.