Sequents And Trees
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Sequents And Trees
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Author : Andrzej Indrzejczak
language : en
Publisher: Springer Nature
Release Date : 2020-12-16
Sequents And Trees written by Andrzej Indrzejczak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-16 with Mathematics categories.
This textbook offers a detailed introduction to the methodology and applications of sequent calculi in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illustrating how to use sequent calculi to prove a wide range of metatheoretical results. The presentation is elementary and self-contained, with all technical details both formally stated and also informally explained. Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness, decidability, and interpolation. Other proofs are presented with portions left as exercises for readers, allowing them to practice techniques of sequent calculus. After a brief introduction to classical propositional logic, the text explores three variants of sequent calculus and their features and applications. The remaining chapters then show how sequent calculi can be extended, modified, and applied to non-classical logics, including modal, intuitionistic, substructural, and many-valued logics. Sequents and Trees is suitable for graduate and advanced undergraduate students in logic taking courses on proof theory and its application to non-classical logics. It will also be of interest to researchers in computer science and philosophers.
Proof Theory Of Modal Logic
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Author : Heinrich Wansing
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Proof Theory Of Modal Logic written by Heinrich Wansing 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 2013-06-29 with Philosophy categories.
Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. It contains many new technical results and presentations of novel proof procedures. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.
Trees
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Author : Jean-Pierre Serre
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07
Trees written by Jean-Pierre Serre 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 2013-03-07 with Mathematics categories.
The seminal ideas of this book played a key role in the development of group theory since the 70s. Several generations of mathematicians learned geometric ideas in group theory from this book. In it, the author proves the fundamental theorem for the special cases of free groups and tree products before dealing with the proof of the general case. This new edition is ideal for graduate students and researchers in algebra, geometry and topology.
Random Trees
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Author : Michael Drmota
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-16
Random Trees written by Michael Drmota 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 2009-04-16 with Mathematics categories.
The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.
Algorithms On Strings Trees And Sequences
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Author : Dan Gusfield
language : en
Publisher: Cambridge University Press
Release Date : 1997-05-28
Algorithms On Strings Trees And Sequences written by Dan Gusfield 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 1997-05-28 with Computers categories.
This book describes a range of string problems in computer science and molecular biology and the algorithms developed to solve them.
Logical Aspects Of Computational Linguistics
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Author : Christian Retore
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-10-15
Logical Aspects Of Computational Linguistics written by Christian Retore 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 1997-10-15 with Computers categories.
This book constitutes the strictly refereed post-conference proceedings of the First International Conference on Logical Aspects of Computational Linguistics, LACL '96, held in Nancy, France in April 1996. The volume presents 18 revised full papers carefully selected and reviewed for inclusion in the book together with four invited contributions by leading authorities and an introductory survey with a detailed bibliography. The papers cover all relevant logical aspects of computational linguistics like logical inference, grammars, logical semantics, natural language processing, formal proofs, logic programming, type theory, etc.
Automated Reasoning
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Author : Nicola Olivetti
language : en
Publisher: Springer
Release Date : 2016-06-13
Automated Reasoning written by Nicola Olivetti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-13 with Mathematics categories.
This book constitutes the refereed proceedings of the 8th International Joint Conference on Automated Reasoning, IJCAR 2016, held in Coimbra, Portugal, in June/July 2016. IJCAR 2014 was a merger of three leading events in automated reasoning, namely CADE (International Conference on Automated Deduction), FroCoS (International Symposium on Frontiers of Combining Systems) and TABLEAUX (International Conference on Automated Reasoning with Analytic Tableaux and Related Methods). The 26 revised full research papers and 9 system descriptions presented together with 4 invited talks were carefully reviewed and selected from 79 submissions. The papers have been organized in topical sections on satisfiability of Boolean formulas, satisfiability modulo theory, rewriting, arithmetic reasoning and mechanizing mathematics, first-order logic and proof theory, first-order theorem proving, higher-order theorem proving, modal and temporal logics, non-classical logics, and verification.
Foundations Of Information And Knowledge Systems
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Author : Dietmar Seipel
language : en
Publisher: Springer
Release Date : 2004-03-06
Foundations Of Information And Knowledge Systems written by Dietmar Seipel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-06 with Computers categories.
This volume contains the papers presented at the 3rd International Symposium onFoundationsofInformationandKnowledgeSystems(FoIKS2004), whichwas held in Castle Wilhelminenberg, Vienna, Austria, from February 17th to 20th, 2004. FoIKS is a biennial event focussing on theoretical foundations of information and knowledge systems. It aims at bringing together researchers working on the theoretical foundations of information and knowledge systems and attracting researchers working in mathematical?elds such as discrete mathematics, c- binatorics, logics, and?nite model theory who are interested in applying their theories to research on database and knowledge base theory. FoIKS took up the tradition of the conference series Mathematical Fun- mentals of Database Systems (MFDBS) which enabled East-West collaboration in the?eld of database theory. The?rst FoIKS symposium was held in Burg, Spreewald (Germany) in 2000, and the second FoIKS symposium was held in SalzauCastle(Germany)in2002. FormerMFDBSconferenceswereheldinDr- den (Germany) in 1987, Visegrþ ad (Hungary) in 1989, and in Rostock (Germany) in 1991. Proceedings of these previous events were published by Springer-Verlag as volumes 305, 364, 495, 1762, and 2284 of the LNCS series, respectively. In addition the FoIKS symposium was intended to be a forum for intensive discussions. For this reason the time slots for long and short contributions were 50 and 30 minutes, respectively, followed by 20 and 10 minutes for discussions, respectively. Furthermore, participants were asked in advance to prepare to act as correspondents for the contributions of other authors. There were also special sessions for the presentation and discussion of open research problems.
Spanning Trees And Optimization Problems
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Author : Bang Ye Wu
language : en
Publisher: CRC Press
Release Date : 2004-01-27
Spanning Trees And Optimization Problems written by Bang Ye Wu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-27 with Computers categories.
The design of approximation algorithms for spanning tree problems has become an exciting and important area of theoretical computer science and also plays a significant role in emerging fields such as biological sequence alignments and evolutionary tree construction. While work in this field remains quite active, the time has come to collect under
Gentzen Calculi For Modal Propositional Logic
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Author : Francesca Poggiolesi
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-19
Gentzen Calculi For Modal Propositional Logic written by Francesca Poggiolesi 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 2010-11-19 with Philosophy categories.
The book is about Gentzen calculi for (the main systems of) modal logic. It is divided into three parts. In the first part we introduce and discuss the main philosophical ideas related to proof theory, and we try to identify criteria for distinguishing good sequent calculi. In the second part we present the several attempts made from the 50’s until today to provide modal logic with Gentzen calculi. In the third and and final part we analyse new calculi for modal logics, called tree-hypersequent calculi, which were recently introduced by the author. We show in a precise and clear way the main results that can be proved with and about them.