A Proof Theory For General Unification
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A Proof Theory For General Unification
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Author : W. Snyder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Proof Theory For General Unification written by W. Snyder 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 Computers categories.
In this monograph we study two generalizations of standard unification, E-unification and higher-order unification, using an abstract approach orig inated by Herbrand and developed in the case of standard first-order unifi cation by Martelli and Montanari. The formalism presents the unification computation as a set of non-deterministic transformation rules for con verting a set of equations to be unified into an explicit representation of a unifier (if such exists). This provides an abstract and mathematically elegant means of analysing the properties of unification in various settings by providing a clean separation of the logical issues from the specification of procedural information, and amounts to a set of 'inference rules' for unification, hence the title of this book. We derive the set of transformations for general E-unification and higher order unification from an analysis of the sense in which terms are 'the same' after application of a unifying substitution. In both cases, this results in a simple extension of the set of basic transformations given by Herbrand Martelli-Montanari for standard unification, and shows clearly the basic relationships of the fundamental operations necessary in each case, and thus the underlying structure of the most important classes of term unifi cation problems.
The Functional Interpretation Of Logical Deduction
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Author : Anjolina G. de Oliveira
language : en
Publisher: World Scientific
Release Date : 2012
The Functional Interpretation Of Logical Deduction written by Anjolina G. de Oliveira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.
This comprehensive book provides an adequate framework to establish various calculi of logical inference. Being an OCyenrichedOCO system of natural deduction, it helps to formulate logical calculi in an operational manner. By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, it allows mathematical foundations for systems of logic presentation designed to handle meta-level features at the object-level via a labelling mechanism, such as the D Gabbay's Labelled Deductive Systems. The book truly demonstrates that introducing OCylabelsOCO is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.
Handbook Of Proof Theory
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Author : S.R. Buss
language : en
Publisher: Elsevier
Release Date : 1998-07-09
Handbook Of Proof Theory written by S.R. Buss and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-09 with Mathematics categories.
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth.The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.
Handbook Of Automated Reasoning
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Author : Alan J.A. Robinson
language : en
Publisher: Elsevier
Release Date : 2001-06-22
Handbook Of Automated Reasoning written by Alan J.A. Robinson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-22 with Computers categories.
Handbook of Automated Reasoning
Tapsoft 95 Theory And Practice Of Software Development
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Author : Peter D. Mosses
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-05-03
Tapsoft 95 Theory And Practice Of Software Development written by Peter D. Mosses 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 1995-05-03 with Computers categories.
This volume presents the proceedings of the Sixth International Joint Conference on the Theory and Practice of Software Engineering, TAPSOFT '95, held in Aarhus, Denmark in May 1995. TAPSOFT '95 celebrates the 10th anniversary of this conference series started in Berlin in 1985 to bring together theoretical computer scientists and software engineers (researchers and practitioners) with a view to discussing how formal methods can usefully be applied in software development. The volume contains seven invited papers, among them one by Vaugham Pratt on the recently revealed bug in the Pentium chip, and 44 revised full papers selected from a total of 147 submissions. In addition the TAPSOFT '95 proceedings contains 10 tool descriptions.
Proof Theory And Automated Deduction
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Author : Jean Goubault-Larrecq
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30
Proof Theory And Automated Deduction written by Jean Goubault-Larrecq 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 2001-11-30 with Computers categories.
Interest in computer applications has led to a new attitude to applied logic in which researchers tailor a logic in the same way they define a computer language. In response to this attitude, this text for undergraduate and graduate students discusses major algorithmic methodologies, and tableaux and resolution methods. The authors focus on first-order logic, the use of proof theory, and the computer application of automated searches for proofs of mathematical propositions. Annotation copyrighted by Book News, Inc., Portland, OR
Routledge Encyclopedia Of Philosophy Index
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Author : Edward Craig
language : en
Publisher: Taylor & Francis
Release Date : 1998
Routledge Encyclopedia Of Philosophy Index written by Edward Craig and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Philosophy categories.
Volume seven of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.
Frontiers Of Combining Systems
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Author : Carsten Lutz
language : en
Publisher: Springer
Release Date : 2015-09-19
Frontiers Of Combining Systems written by Carsten Lutz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-19 with Computers categories.
This book constitutes the proceedings of the 10th International Symposium on Frontiers of Combining Systems, FroCoS 2015, held in Wroclaw, Poland, in September 2015. The 20 papers presented in this volume were carefully reviewed and selected from 34 submissions. They were organized in topical sections named: description logics; theorem proving and model building; decision procedures; decision procedures for verification; rewriting and constraint solving; transformations between symbolic systems; combination methods; and reasoning in large theories. The book also contains one invited talk in full-paper length.
Resolution Proof Systems
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Author : Z. Stachniak
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Resolution Proof Systems written by Z. Stachniak 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 Computers categories.
Resolution Proof Systems: An Algebraic Theory presents a new algebraic framework for the design and analysis of resolution- based automated reasoning systems for a range of non-classical logics. It develops an algebraic theory of resolution proof systems focusing on the problems of proof theory, representation and efficiency of the deductive process. A new class of logical calculi, the class of resolution logics, emerges as a second theme of the book. The logical and computational aspects of the relationship between resolution logics and resolution proof systems is explored in the context of monotonic as well as nonmonotonic reasoning. This book is aimed primarily at researchers and graduate students in artificial intelligence, symbolic and computational logic. The material is suitable as a reference book for researchers and as a text book for graduate courses on the theoretical aspects of automated reasoning and computational logic.
Handbook Of Tableau Methods
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Author : M. D'Agostino
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Handbook Of Tableau Methods written by M. D'Agostino 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 2013-03-09 with Philosophy categories.
Recent years have been blessed with an abundance of logical systems, arising from a multitude of applications. A logic can be characterised in many different ways. Traditionally, a logic is presented via the following three components: 1. an intuitive non-formal motivation, perhaps tie it in to some application area 2. a semantical interpretation 3. a proof theoretical formulation. There are several types of proof theoretical methodologies, Hilbert style, Gentzen style, goal directed style, labelled deductive system style, and so on. The tableau methodology, invented in the 1950s by Beth and Hintikka and later per fected by Smullyan and Fitting, is today one of the most popular, since it appears to bring together the proof-theoretical and the semantical approaches to the pre of a logical system and is also very intuitive. In many universities it is sentation the style first taught to students. Recently interest in tableaux has become more widespread and a community crystallised around the subject. An annual tableaux conference is being held and proceedings are published. The present volume is a Handbook a/Tableaux pre senting to the community a wide coverage of tableaux systems for a variety of logics. It is written by active members of the community and brings the reader up to frontline research. It will be of interest to any formal logician from any area.