Cut Elimination For Full Intuitionistic Linear Logic
DOWNLOAD
Download Cut Elimination For Full Intuitionistic Linear Logic PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Cut Elimination For Full Intuitionistic Linear Logic book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Cut Elimination For Full Intuitionistic Linear Logic
DOWNLOAD
Author : Torben Braüner
language : en
Publisher:
Release Date : 1996
Cut Elimination For Full Intuitionistic Linear Logic written by Torben Braüner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Intuitionistic mathematics categories.
Abstract: "We describe in full detail a solution to the problem of proving the cut elimination theorem for FILL, a variant of (multiplicative and exponential-free) Linear Logic introduced by Hyland and de Paiva. Hyland and de Paiva's work used a term assignment system to describe FILL and barely sketched the proof of cut elimination. In this paper, as well as correcting a small mistake in their paper and extending the system to deal with exponentials, we introduce a different formal system describing the intuitionistic character of FILL and we provide a full proof of the cut elimination theorem. The formal system is based on a notion of dependency between formulae within a given proof and seems of independent interest. The procedure for cut elimination applies to (classical) multiplicative Linear Logic, and we can (with care) restrict our attention to the subsystem FILL. The proof, as usual with cut elimination proofs, is a little involved and we have not seen it published anywhere."
Lectures On Linear Logic
DOWNLOAD
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.
Logical Foundations Of Computer Science
DOWNLOAD
Author : Sergei Artemov
language : en
Publisher: Springer
Release Date : 2015-12-14
Logical Foundations Of Computer Science written by Sergei Artemov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-14 with Mathematics categories.
This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2016, held in Deerfield Beach, FL, USA in January 2016. The 27 revised full papers were carefully reviewed and selected from 46 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; and other logics in computer science.
Labelled Deduction
DOWNLOAD
Author : David Basin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Labelled Deduction written by David Basin 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 Philosophy categories.
Labelled deduction is an approach to providing frameworks for presenting and using different logics in a uniform and natural way by enriching the language of a logic with additional information of a semantic proof-theoretical nature. Labelled deduction systems often possess attractive properties, such as modularity in the way that families of related logics are presented, parameterised proofs of metatheoretic properties, and ease of mechanisability. It is thus not surprising that labelled deduction has been applied to problems in computer science, AI, mathematical logic, cognitive science, philosophy and computational linguistics - for example, formalizing and reasoning about dynamic `state oriented' properties such as knowledge, belief, time, space, and resources.
Logic Epistemology And The Unity Of Science
DOWNLOAD
Author : Shahid Rahman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-16
Logic Epistemology And The Unity Of Science written by Shahid Rahman 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 2009-03-16 with Philosophy categories.
The first volume in this new series explores, through extensive co-operation, new ways of achieving the integration of science in all its diversity. The book offers essays from important and influential philosophers in contemporary philosophy, discussing a range of topics from philosophy of science to epistemology, philosophy of logic and game theoretical approaches. It will be of interest to philosophers, computer scientists and all others interested in the scientific rationality.
Theoretical Computer Science
DOWNLOAD
Author : Josep Diaz
language : en
Publisher: Springer
Release Date : 2014-08-23
Theoretical Computer Science written by Josep Diaz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-23 with Computers categories.
This book constitutes the refereed proceedings of the 8th FIP WG 2.2 International Conference, TCS 2014, held in Rome, Italy, in September 2014. The 26 revised full papers presented, together with two invited talks, were carefully reviewed and selected from 73 submissions. [Suggestion--please check and add more if needed] TCS-2014 consisted of two tracks, with separate program committees, which dealt respectively with: - Track A: Algorithms, Complexity and Models of Computation, and - Track B: Logic, Semantics, Specification and Verification
Computer Science Logic
DOWNLOAD
Author : Mogens Nielsen
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-05-20
Computer Science Logic written by Mogens Nielsen 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 1998-05-20 with Computers categories.
This book constitutes the strictly refereed post-workshop proceedings of the 11th International Workshop on Computer Science Logic, CSL '97, held as the 1997 Annual Conference of the European Association on Computer Science Logic, EACSL, in Aarhus, Denmark, in August 1997. The volume presents 26 revised full papers selected after two rounds of refereeing from initially 92 submissions; also included are four invited papers. The book addresses all current aspects of computer science logics and its applications and thus presents the state of the art in the area.
Basic Proof Theory
DOWNLOAD
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.
New Structures For Physics
DOWNLOAD
Author : Bob Coecke
language : en
Publisher: Springer Science & Business Media
Release Date : 2011
New Structures For Physics written by Bob Coecke 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 2011 with Computers categories.
This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.
Rewriting Computation And Proof
DOWNLOAD
Author : Hubert Comon-Lundh
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-22
Rewriting Computation And Proof written by Hubert Comon-Lundh 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 2007-06-22 with Computers categories.
Jean-Pierre Jouannaud has played a leading role in the field of rewriting and its technology. This Festschrift volume, published to honor him on his 60th Birthday, includes 13 refereed papers by leading researchers, current and former colleagues. The papers are grouped in thematic sections on Rewriting Foundations, Proof and Computation, and a final section entitled Towards Safety and Security.